question
Fully Rational Agents
answer
Non-Random Behavior, Common Objectives, Avoid Emotion decision making, not for practical living
question
What shifts the demand curve?
answer
income, prices of related goods, tastes, expectations, number of buyers
question
What shifts the supply curve?
answer
input prices, technology, number of sellers, expectations
question
Consumer Choice
answer
Bundles and Budgets
question
Bundle
answer
Specific combination of goods
question
Budget Constraint
answer
Set of Bundles that exhaust income at given prices
question
Budget Constraint Formula
answer
M= [P_X]X+[P_Y]Y
(M/Px)-(Py/Px)*Y = X
(M/Px)-(Py/Px)*Y = X
question
slope of budget constraint
answer
-Px/Py
question
Opportunity Costs are dictated by
answer
Price Change (they do not change when income changes)
question
Increase in Real Income
answer
Income increases and/or Prices decrease of One Good: New Bundles lost and New Bundles Gained
question
Decrease in Real Income
answer
Income goes down/or Price Increases of One Good: Some Bundles Lost, No Bundles Gainedq
question
Key Properties of Preference Ordering
answer
Completeness, Transitivity, Monotonicity and Convexity
question
Completeness (Preference Properties)
answer
All possible bundles are ranked
question
Transitivity (Preference Properties)
answer
Internal Consistency
question
Monotonicity (Preference Properties)
answer
more is better
question
Convexity (Preference Properties)
answer
Combinations preferred to extremes, balanced consumption
question
Key Properties of Indifference Curves
answer
Ubiquitous, Parallel, Negative Slope, Diminishing Slope
question
Why are indifference curves pointed up (Preference Properties)
answer
Convexity
question
How do we demonstrate if we want more of x than y? (Preference Properties)
answer
Completeness
question
Indifference Curve
answer
graphical representation of Preferences
question
Ubiquitous (Indifference Curves)
answer
Any possible bundle has an IC passing through it [it has to have ranking as well]
question
Parallel (Indifference Curves)
answer
Indifference curves cannot cross each other
question
Negative Slope (Indifference Curves)
answer
Sacrifice needed to maintain utility (you are giving one good up for the other)
question
Why are indifference curves negative sloping?
answer
An upward sloping Indifference curve means that both goods are being both increased and you cannot be indifferent due to Monotonicity
question
Diminishing Slope (Indifference Curves)
answer
Indifference Curves become less steep as they move down and to their right
question
Why are Indifference Curves diminishing?
answer
As we move from 1 extreme bundle down toward an equal parting, it gets more satisfying. If you keep going down, you end up going to another extreme bundle that is not as favorable.
question
Convexity says (Indifference Curves)
answer
ICs are curved
question
Convexity Property of Preferences
answer
Balance is Important. The more of one good we have, the more we need in order to give up one unit of another good.
question
Budget Constraints have
answer
Constant Slopes
question
ICs have a
answer
Constantly Changing Slope
question
Marginal Rate of Substitution (MRS)
answer
(the rate at which a consumer would be willing to trade off one good for another) Slope of the IC. (change of good x/ change of good y) dx/dy
question
Perfect Substitutes
answer
We dont care about a perfect balance in consumption. We stretch the IC (straight Lines)
question
Perfect Complements
answer
goods that a consumer will consume in the same ratio regardless of their relative price. We violate Monotonicity (right angles)
question
Perfect Substitutes vs Perfect Complements
answer
Perfect Substitutes have no preference for balance, so convexity is gone. Perfect Complements have hyper specific balance requirements, so convexity is as strong as possible
question
Budget Constraints are _ to our highest IC
answer
Tangent (two lines touch in one place and don't cross)
question
What does the point of tangency mean?
answer
The Price Ratio (the slope of the budget constraint) is equal to the marginal rate of substitution (slope of the indifference curve)
question
Price Ratio
answer
the price of good on the horizontal axis divided by the price of the good on the vertical axis. -Px/Py
question
What happens when Convexity is not important
answer
Marginal Rate of Substitute is not equal to the Price Ratio. We do not care about a balance in two goods.
question
Corner Solutions
answer
Extreme Bundles (lightly curved straight lines)
question
When do we see the Corner Solution
answer
IC not strongly convexity. Implies easily substitutable goods [not perfect]
question
Changes in Real Income
answer
results in a consumer's welfare changing, but a change in real income does not necessarily result in the consumer becoming better or worse off
question
Interest Rate
answer
PV(M2)=M2/(1+r)
question
Utility
answer
Ability or capacity of a good or service to be useful and give satisfaction to someone.
question
Optimal Consumer Choice
answer
an affordable combination of goods and services that maximizes a consumer's utility. (MUx/MUy=Px/Py)
question
MRS and Utility
answer
MUx/MUy=Px/Py
question
What is the purpose of the demand curve
answer
Measure how consumers respond to changes in price of a good
question
Engel Curve
answer
A graphical representation of how income changes quantity demanded (for income instead of price)
question
Two effects of price change
answer
substitution effect and income effect
question
Translating the Budget Constraint to a Individual Demand Curve
answer
For each price, we have a quantity demanded
question
As price changes we see someone's _ change
answer
utility
question
As Price Falls the consumer move to ___ ICs
answer
Higher (getting happier as price falls)
question
Normal vs. Inferior Goods
answer
Normal goods are goods that the individual wants; e.g. steak, nice car, computer, etc.
Inferior goods are goods that the individual uses because they have to, e.g. public transit. As individual's income rises, the individual uses fewer inferior goods - not gonna use public transit if you can afford a car.
Inferior goods are goods that the individual uses because they have to, e.g. public transit. As individual's income rises, the individual uses fewer inferior goods - not gonna use public transit if you can afford a car.
question
Substitution Effect
answer
other goods become more attractive
question
Income Effect
answer
the change in consumption resulting from a change in real income
question
Substitution effect___ works against price change
answer
always
question
Total Effect
answer
income effect + substitution effect
question
The Income effect ___ on the good
answer
Depends (Normal vs Inferior)
question
An Increase in Real Income causes
answer
decrease demand for inferior goods and increase in normal goods
question
Movement from original bundle to hypothetical
answer
substitution effect
question
The Substitution Effects Always Reduces the ____ Demanded of the good whose ____ ____
answer
Quantity, Price Increased
question
Movement from Hypothetical Bundle to actual bundle is the
answer
income effect
question
For Inferior Goods, The Income effect works ___ the substitution effect
answer
against (The substitution effect is so strong that it over shoots the total effect, so the income effect has to work back in the other direction)
question
For Perfect Complements
answer
There is no Substitution effect only income effect (still right angles)
question
For Perfect Substiutes
answer
The Substitution Effect is the only thing that is occuring
question
How to Find Market Demand
answer
1. Rewrite as Q=
2. Add Qx+Qe=Qm
3. Rewrite as P=...
2. Add Qx+Qe=Qm
3. Rewrite as P=...
question
price elasticity of demand
answer
the responsiveness of consumers in a market to changes in market price
(Percentage Change in Qd [quantity demanded] resulting in % change in price]
(Percentage Change in Qd [quantity demanded] resulting in % change in price]
question
Elastic Chart
answer
Elastic e < -1
Unit Elastic e = -1
Inelastic e > 0
Unit Elastic e = -1
Inelastic e > 0
question
Elasticity formula
answer
% change in quantity / % change in price
or
(change in Q/ Qo) / (Change in Price/P0)
or
Change in Q/ Change in P x (p/q)
or
[mostly this] P/Q x 1/slope
or
(change in Q/ Qo) / (Change in Price/P0)
or
Change in Q/ Change in P x (p/q)
or
[mostly this] P/Q x 1/slope
question
| E | > 1 (Elasticity and expenditure)
answer
a price reduction increases total expenditure, a price decrease reduces
question
| E | = 1 (Elasticity and expenditure)
answer
Total Expenditure is at its maximum)
question
| E | < 1 (Elasticity and expenditure)
answer
A price reduction reduces total expenditure; a price increase increases it
question
Determinants of Elasticity
answer
Substitute Possibilities (No close substitutes = less elasticity and smaller Substitute Effect), Share of Budget (large purchase items are more elastic, larger income effect), Direction of Income Effect (normal goods are more elastic than inferior goods as the income effect reinforces substitution effect) and Time (over time people are able to adjust better
question
Income Elasticity
answer
responsiveness of average consumer for a particular good to change in income (percentage change in quantity demanded resulting in a change in income)
question
Income Elastic Formula
answer
Em= (Change in Quantity/ Quantity)/ (change in M/M) or
Em= (Change in Q/Change in M) x M/Q
Em= (Change in Q/Change in M) x M/Q
question
If Em>1
answer
Luxury Good
question
Em<1
answer
Necessity Good
question
If Em<0
answer
Inferior Good
question
cross price elasticity
answer
responsiveness of consumers for a particular good to changes in price of another good (percentage change in quantity demanded of good x resulting in a % change in price y)
question
cross price elasticity formula
answer
Ex,y = (%Δ Qx / Qx)/(% Δ PY/ PY)
question
Production
answer
Any process that uses identifiable inputs to create measurable output
question
Production Function
answer
Maximum possible output from input bundle (Q=fx)
question
Profits (pi)
answer
p*q-c(q) (Revenues-Costs)
question
Problems with Production Functions
answer
Incentive Problems and Bounded Rationality
question
Strengths of Production Functions
answer
Clear Relevance
Captures Market Dynamics
Makes Everything Simplier
Captures Market Dynamics
Makes Everything Simplier
question
Long Run
answer
amount of time needed to change amounts of all inputs in production
question
Short Run
answer
Time horizon which at least one input quantity may not be adjusted (in the short-run, inputs are either variable (may be changed) or fixed)
question
Q=2KL
A firm owns one factory and varies with labor. Rewrite the Function
A firm owns one factory and varies with labor. Rewrite the Function
answer
Q=2L
question
law of diminishing returns
answer
as equal amounts of a variable are sequentially added while others are kept fixed, the additional output increments will diminish (i.e. more and more of an input creates more of an output, but at smaller and smaller gains)
question
Total Product
answer
Amount of output as a function of the amount of variable input (i.e. the short run version of a production function)
question
Marginal Product
answer
change in out due to a 1-unit change in a variable input (rate of change; derviate)
question
marginal product of labor
answer
Change in Quantity/ Change in Labor
or
the derivative of Total Product
dTP/dL
or
the derivative of Total Product
dTP/dL
question
MPL is the
answer
slope of the Total Product Curve
question
Average Product
answer
Total Output Divided by the amount of the variable input
Q/L
Q/L
question
How do we represent our function graphically
answer
1.) Quantity Produced
2.) solve for K in terms of L
2.) solve for K in terms of L
question
Isoquant
answer
all combinations of variable inputs that yield a given level of output
question
Marginal Rate of Technical Substitution
answer
The rate at which one input may be substituted for another without altering output.
Change of K/ Change of L
Change of K/ Change of L
question
Consumer Utility is represented with
answer
Indifference Curves
question
Firm Production is represented with
answer
Isoquants
question
Returns to Scale
answer
change in output brought on by change in inputs. (measures efficiency, not total output)
question
Economies of Scale
answer
offer insight into firm size and competitiveness in an industry
question
Increasing Returns to Scale
answer
a proportional increase in all inputs results in more than proportional increase in output
question
Decreasing Returns to Scale
answer
a proportional increase in all inputs results in less than proportional increase in output
question
Constant Returns to Scale
answer
a proportional increase in all inputs results in an equally proportional increase in output
question
How to Calculate RTS:
answer
tf(K,L) and f(tK,tL)
question
If tf(K,L) > f(tK,tL)
answer
(multiplying both inputs by t gets us less than t times the output)
Decreasing Returns to Scale
Decreasing Returns to Scale
question
If tf(K,L) < f(tK,tL)
answer
(multiplying both inputs by t gets us more than t times the input)
Increasing Returns to Scale
Increasing Returns to Scale
question
If tf(K,L) = f(tK,tL)
answer
Constant Returns to Scale
question
DRTS leads to a competitive market with
answer
many small firms
question
IRTS leads to a small competitive market with
answer
few large firms
question
Total Cost Forumla
answer
(rK+wL)
FC+VC
FC+VC
question
r
answer
rental rate
question
K
answer
capital
question
FC (Fixed Cost)
answer
rK
question
VC (variable Cost)
answer
wL
question
Average Fixed Cost
answer
FC/Q
((rk)/Q)
((rk)/Q)
question
Average Variable Cost
answer
VC/Q
((wL)/Q)
((wL)/Q)
question
Average Total Cost
answer
TC/Q
((rk+wL)/Q)
((rk+wL)/Q)
question
Marginal Cost formula
answer
change in total cost / change in quantity
or
dTC/dQ
(change in FC + change in VC)/Q
or
dTC/dQ
(change in FC + change in VC)/Q
question
Total Cost Curve
answer
a graphical representation showing how the cost of producing one more unit depends on the quantity that has already been produced
question
Marginal Cost Curve
answer
(MP intersects AP at maximum point on AVC curve)
MC=w/MP
MC=w/MP
question
MP and MC relationship
answer
w(1/AP)= w/AP
question
AP and AVC relationship
answer
Isocost Line
question
Prices allow us to see the Firms
answer
by finding the point of tangency between the isocost line and the isoquant
question
How do we find the Optimal Production with Firms
answer
-w/r
question
Slope of the Isocost
answer
by finding the optimal production
question
How to find the Long Run Average Cost Curve
answer
LMC=LAC
question
Slope of LRTC
answer
Constant Returns to Scale Graphed
question
Flat LRAC
answer
Increasing Returns to Scale Graphed
question
Declining LRAC (over a large span of Q)
answer
Decreasing Returns to Scale Graphed
question
LRAC (long run average cost curve)
answer
the short run or long run process by which a firm determines the price and output level that returns the greatest profit
question
Increasing LRAC (over a large span of Q)
answer
total revenue - total costs (explicit and implicit)
question
profit maximization
answer
total revenue - total explicit cost
question
Economic Profit
answer
1.) Product is Homogeneous
2.) Firms cannot affect market price- they are price takers
3.) Perfect Information as both consumers and producers have full information
4.) No barriers to entry in the long-run
2.) Firms cannot affect market price- they are price takers
3.) Perfect Information as both consumers and producers have full information
4.) No barriers to entry in the long-run
question
Accounting Profit
answer
MC=MR
question
Critical Assumptions for Perfect Competition
answer
TR-VC-FC ≥ -FC
or
TR ≥ VC
or
PQ ≥ VC
or [mostly]
P≥AVC
or
TR ≥ VC
or
PQ ≥ VC
or [mostly]
P≥AVC
question
short run profit maximization
answer
-Profit= -FC
question
When to Produce
answer
for individual firms, the dollar amount they benefit by producing the profit maximizing level of output (i.e. benefit of not shutting down)
question
When to Shutdown
answer
MC curve above AVC
question
producer surplus
answer
may choose to produce and earn positive or negative economic profit (cannot exit market as only long run can do that)
question
short-run individual supply curve
answer
where price is equal to ATC
question
In the short run firms
answer
All Costs are Variable as firms are able to purchase or sell.
No Barriers to Entry: Firms may enter or leave freely.
All Firms in a market exhibiting long run equilibrium earn zero economic profits
No Barriers to Entry: Firms may enter or leave freely.
All Firms in a market exhibiting long run equilibrium earn zero economic profits
question
A firms break even point is
answer
Measure of Welfare in the Market
question
Perfect Competition in the Long Run
answer
Taxes
Quantity Based: Excise Tax
Price Based: Ad velorem tax (per dollar)
Price Controls (Ceilings and Floors)
Tariffs and Quotas
Quantity Based: Excise Tax
Price Based: Ad velorem tax (per dollar)
Price Controls (Ceilings and Floors)
Tariffs and Quotas
question
Surplus
answer
decreases demand (shifts left)
question
Distortions in Surplus
answer
decreases supply (shift left)
question
Excise Tax on Buyers
answer
(P-P2)Q2*
question
Excise Tax on Sellers
answer
(P2 + x - P)Q2*
question
Tax incidence for sellers
answer
the marginal rate of substitution of one good for another good.
question
tax incidence for buyers
answer
-7/15
question
The slope of an indifference curve reveals:
answer
the slope of the budget line will not change.
question
A consumer has $100 per day to spend on product A, which has a unit price of $7, and product B, which has a unit price of $15. What is the slope of the budget line if good A is on the horizontal axis and good B is on the vertical axis?
answer
represent the quantity of each good that could be purchased if all of the budget were allocated to that good.
question
Suppose that the prices of good A and good B were to suddenly double. If good A is plotted along the horizontal axis,
answer
Px/Py
question
The endpoints (horizontal and vertical intercepts) of the budget line:
answer
any of the above are possible.
question
A consumer maximizes satisfaction at the point where his valuation of good X, measured as the amount of good Y he would willingly give up to obtain an additional unit of X, equals:
answer
2 lemonades for each popcorn.
question
The fact that Alice spends no money on travel:
answer
the additional satisfaction from consuming one more unit of a good.
question
The price of lemonade is $0.50; the price of popcorn is $1.00. If Fred has maximized his utility by purchasing lemonade and popcorn, his marginal rate of substitution will be:
answer
Px/Py = money income.
question
Marginal utility measures:
answer
if A is more expensive than B, then Xavier must prefer A over B.
question
Oscar consumes only two goods, X and Y. Assume that Oscar is not at a corner solution, but he is maximizing utility. Which of the following is NOT necessarily true?
answer
the marginal utility of apples decreases.
question
The principle of revealed preference would say that if Xavier chooses market basket A over market basket B then:
answer
none of the above.
question
As we move downward along a demand curve for apples,
answer
both goods are normal.
question
The change in the price of one good has no effect on the quantity demanded of another good. These goods are:
answer
substituition
question
When the income-consumption curve has a positive slope throughout its entire length, we can conclude that
answer
It will lead to an increase in consumption only for a normal good.
question
The change in the quantity demanded of a good resulting from a change in relative price with the level of utility held constant is called the ________ effect.
answer
less,less
question
Which of the following is true concerning the income effect of a decrease in price?
answer
has shifted to the right.
question
Assume that yogurt is a normal good. If the price of yogurt rises, then the substitution effect results in the person buying ________ of the good and the income effect results in the person buying ________ of the good.
answer
there are more substitutes for sirloin steak than for all meats.
question
Recently, Skooterville has experienced a large growth in population. As a result, the market demand curve for housing in Skooterville:
answer
consumer surplus.
question
The market demand for sirloin steak is probably more elastic than the market demand for all meat because
answer
increases
question
The difference between what a consumer is willing to pay for a unit of a good and what must be paid when actually buying it is called
answer
A monopolist can charge as high a price as it likes.
question
When the price of wood (which is an input in the production of furniture) falls, the consumer surplus associated with the consumption of furniture
answer
higher; smaller
question
Which of the following statements is not a correct characterization of a pure monopoly?
answer
equate marginal revenue and marginal cost.
question
Compared to the equilibrium price and quantity sold in a competitive market, a pure monopolist will charge a ________ price and sell a ________ quantity.
answer
the quantity supplied at any particular price depends on the market demand curve.
question
To find its profit-maximizing output level, a pure monopolist will
answer
set price above marginal cost.
question
The pure monopolist has no supply curve because
answer
0
question
Monopoly power results from the ability to
answer
a decrease in consumer surplus in the widget market.
question
What is the value of the Lerner index under perfect competition?
answer
pays a price for the factor of production that depends on the number of units purchased.
question
If the market for widgets is suddenly monopolized, we should expect:
answer
a degree of monopsony power.
question
Unlike a firm buying a particular factor of production in a perfectly competitive market, a pure monopsonist
answer
The average expenditure curve
The marginal expenditure curve
Both c) and d)
The marginal expenditure curve
Both c) and d)
question
n the personal computer market, some large manufacturers are able to buy computer components (e.g., disk drives, memory chips) at lower prices than smaller firms in the market. This outcome indicates that the large firms haver
answer
The marginal rate of substitution of one good for another good
question
Cole's Coal Company is the only employer in a remote and mountainous region of the country, so the firm is a monopsony buyer of labor in the market. If the local population declines and there are fewer qualified coal miners available, which one of the curves used to determine the monopsony outcome in this market shifts?
answer
The assumption of a diminishing marginal rate of substitution
question
The slope of an indifference curve reveals
answer
Horizontal lines
question
Indifference curves are convex to the origin because
answer
Transitivity
question
Envision a graph with meat on the horizontal axis and vegetables on the vertical axis. A strict vegetarian would have indifference curves that are
answer
-7/15
question
If a consumer prefers basket A to basket B and basket B to basket C, then the consumer also prefers A to C. This assumption is called
answer
6 packages of hot dogs and 6 packages of buns
question
A consumer has $100 per day to spend on product A, which has a unit price of $7, and product B, which has a unit price of $15. What is the slope of the budget line if good A is on the horizontal axis and B is on the vertical axis?
answer
Marginal benefit equals marginal cost
question
Sue views hot dogs and hot dog buns as perfect complements in her consumption, and the corners of her indifference curves follow the 45-degree line. Suppose the price of hot dogs is $5 per package (8 hot dogs), the price of buns is $3 per package (8 hot dog buns), and Sue's budget is $48 per month. What is her optimal choice under this scenario?
answer
120
question
Satisfaction from consumption is maximized when
answer
Increasing pepsi consumption and reducing hamburger consumption
question
Monica consumes only goods A and B. Suppose that her marginal utility from consuming good A is equal to 1/Qa, and her marginal utility from consuming good B is 1/Qb. If the price of A is $0.50, the price of B is $4.00, and Monica's income is $120.00, how much of good A will she purchase?
answer
The marginal utility of x may be positive or negative (depending on the quantity of X and Y consumed)
question
Bill currently uses his entire budget to purchase 5 cans of pepsi and 3 hamburgers per week. The price of pepsi is $1 per can, the price of a hamburger is $2, Bill's marginal utility from pepsi is 4, and his marginal utility from hamburgers is 6. Bill could increase his utility by?
answer
8 units
question
Suppose your utility from consuming X and Y is expressed as u(X,Y) = ln(XY) where ln() is the natural logarithm operator. Given this information, which of the following statements is NOT true?
answer
-dY/dX = MUx(X,Y)/MUy(X,Y)
question
Suppose your utility function for food (F) and clothing (C) is u(F,C) = F + 4C. If you reduce your clothing consumption by 2 units, how much do you have to increase your food consumption in order to maintain the same utility level?
answer
Utility is maximized, and all income is spent
question
Which of the following expressions in the fgure represents the marginal rate of substitution, MRSxy?
answer
Food is an inferior good and clothing a normal good
question
Which of the following is true at each point along a price-consumption curve?
answer
The substitution effect
question
Thee effect of a decrease in the price of food, as depicted in the figure, leads us to believe that
answer
The income effect
question
After a good falls in price, consumers tend to buy more of the good that has become cheaper and less of those goods that are now relatively more expensive. This fact is called
answer
25,000
question
A change in consumption of a good resulting from an increase in purchasing power, with relative prices held constant, is referred to as
answer
rise; fall
question
A local retailer has decided to carry a well-known brand of shampoo. The marketing department tells them that the quarterly demand by an average man is:
Qd = 3 - 0.25P
and the quarterly demand by an average woman is:
Qd = 4 - 0.5P
The market consists of 10,000 men and 10,000 women. How may bottles of shampoo can they expect to sell if they charge $6 per bottle?
Qd = 3 - 0.25P
and the quarterly demand by an average woman is:
Qd = 4 - 0.5P
The market consists of 10,000 men and 10,000 women. How may bottles of shampoo can they expect to sell if they charge $6 per bottle?
answer
Consumer expenditures on gasoline increase over the short run and decline over the long run.
question
Suppose that the demand for artichokes (Qa) is given as:
Qa = 200 - 4P
Use the information in Scenario 4.2. Suppose that the price of artichokes is increased slightly from $10. The total expenditure by consumers on artichokes will ________ and the number of artichokes sold will ________.
Qa = 200 - 4P
Use the information in Scenario 4.2. Suppose that the price of artichokes is increased slightly from $10. The total expenditure by consumers on artichokes will ________ and the number of artichokes sold will ________.
answer
Demand curve becomes more elastic due to the bandwagon effect
question
Recent research estimates that the short-run price elasticity of demand for gasoline in the US is -0.3, and the long-run price elasticity of demand is -1.4. What happens if the government increases the federal gasoline tax?
answer
Only if no important factors other than price affect demand
question
Software companies continually work to develop new features of their products that make it easier for users to interact and share their work. As more of these features are embedded in the software, what happens to the individual demand curve for the software products?
answer
A 1% increase in income will lead to a 1.5% increase in seeing movies at the theater. Your demand for movies is elastic with respect to income.
question
When would it be plausible to describe the demand for a product by drawing a straight line, Q=a - bP?
answer
Subsitutes
question
If your income elasticity of demand for going to the movie theater is 1.5, then
answer
Complements
question
If the price of Apple's iPhone generates a cross-price elasticity for Samsung's Galaxy of 0.7 then these two products are
answer
A production function
question
If the price of iPhones generates a cross-price elasticity for apple watches of -0.6 then these two products are
answer
A time period in which at least one input is fixed
question
A function that indicates the maximum output per unit of time that a firm can produce, for every combination of inputs with a given technology, is called
answer
The marginal product of an input will eventually decline
question
The short run is
answer
Capital, plant size, & labor
question
According to the law of diminishing returns
answer
Marginal returns
question
Which of the following inputs are variable in the long run?
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The addition to total output due to the addition of the last unit of an input, holding all other inputs constant
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The law of diminishing returns refers to diminishing
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Marginal product cuts average product from above, at the maximum point of average product
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The marginal product of an input is
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MP = 1.5 cars
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What describes the graphical relationship between average product & marginal product?
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Even though any given production process exhibits diminishing returns, labor productivity increases with technological improvements
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You operate a car detailing business with a fixed amount of machinery (capital), but you have recently altered the number of workers that you employ per hour. Three employees can generate an average product of 4 cars per person in each hour, and five employees can generate an average product of 3 cars per person in each hour. What is the marginal product of labor as you increase the labor from three to five employees?
answer
AP = 5K
Because: you divide 5KL/L and labor gets cancelled
Because: you divide 5KL/L and labor gets cancelled
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This figure shows the impact of technological improvements and conveys the idea that
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Is a curve that shows all the combinations of inputs that yield the same total output
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Joe owns a coffee house and produces coffee drinks under the production function q = 5KL where q is the number of cups generated per hour, K is the number of coffee machines (capital), and L is the number of employees hired per hour (labor). What is the average product of labor?
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Rate at which the firm can replace capital with labor without changing the output rate
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An isoquant
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Ratio of the marginal products of the inputs
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If capital is measured on the vertical axis and labor is measured on the horizontal axis, the slope of an isoquant can be interpreted as the
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Labor, capital
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The marginal rate of technical substitution is equal to the
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I is true
II is false
II is false
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A construction company builds roads with machinery (capital, K) and labor (L). If we plot the isoquants for the production function so that labor is on the horizontal axis, then a point on the isoquant with a small MRTS (in absolute value) is associated with high ________ use and low ________ use.
answer
One hour
question
I. The numerical labels attached to indifference curves are meaningful only in an ordinal way.
II. The numerical labels attached to isoquants are meaningful only in an ordinal way.
II. The numerical labels attached to isoquants are meaningful only in an ordinal way.
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Increasing returns to scale for all output levels
question
Consider a firm facing MRTS = K/(4L) with capital (K) on the vertical axis of the isoquant map. Suppose L=100 hours and K=400 machine hours at the current level of output. How much additional labor is required to maintain output if we reduce capital by one machine hour?
answer
q = K + L
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A farmer uses M units of machinery and L hours of labor to produce C tons of corn, with the following production function C=L0.5M0.75. This production function exhibits
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No, we cannot change all of the production inputs in the short run
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Which of the following production functions exhibits constant returns to scale?
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Sell to ABC corporation
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Does it make sense to consider the returns to scale of a production function in the short run?
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Is incorrect because the original price paid for the shares is a sunk cost and should have no bearing on whether the shares should be held or sold
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Farmer Jones bought his farm for $75,000 in 1975. Today the farm is worth $500,000, and the interest rate is 10 percent. ABC Corporation has offered to buy the farm today for $500,000 and XYZ Corporation has offered to buy the farm for $530,000 one year from now. Farmer Jones could earn net profit of $15,000 (over and above all of his expenses) if he farms the land this year. What should he do?
answer
-4/5
question
Constantine purchased 100 shares of IBM stock several years ago for $150 per share. The price of these shares has fallen to $55 per share. Constantine's investment strategy is "buy low, sell high." Therefore, he will not sell his IBM stock until the price rises above $150 per share. If he sells at a price lower than $150 per share he will have "bought high and sold low." Constantine's decision:
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The marginal product of labor is 3 times the marginal product of capital
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Assume that a firm spends $500 on two inputs, labor (graphed on the horizontal axis) and capital (graphed on the vertical axis). If the wage rate is $20 per hour and the rental cost of capital is $25 per hour, the slope of the isocost curve will be
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Input combinations that can be purchased for a given total cost
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With its current levels of input use, a firm's MRTS is 3 (when capital is on the vertical axis and labor is on the horizontal axis). This implies
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Bubba adds grilled chicken sandwiches to the menu
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An isocost line reveals the
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I is false
II is true
II is true
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Bubba Burgers has discovered there are economies of scope available to the restaurant. Which is most likely to be a response to this discovery?
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Output is being produced at minimum cost
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I. Whenever a firm's average variable costs are falling as output rises, marginal costs must be falling too.
II. Whenever a firm's average total costs are rising as output rises, average variable costs must be rising too.
II. Whenever a firm's average total costs are rising as output rises, average variable costs must be rising too.
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The optimal capital-labor ratio remains the same
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When an isocost line is just tangent to an isoquant, we know that
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Both are true
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Suppose our firm produces chartered business flights with capital (planes) and labor (pilots) in fixed proportion (i.e., one pilot for each plane). If the wage rate paid to the pilots increases relative to the rental rate of capital for the airplanes, then
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Price ceilings are enacted in an attempt to keep prices low for those who need the product. However, when the market price is not allowed to rise to the equilibrium level, quantity demanded exceeds quantity supplied, and thus a shortage occurs.
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I. The more easily factors of production can be substituted for one another (for example, capital can be used to reduce waste water), the more effective the fee will be in reducing effluent.
II. The greater the degree of substitution of capital for waste water, the less the firm will have to pay in effluent fees.
II. The greater the degree of substitution of capital for waste water, the less the firm will have to pay in effluent fees.
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Price floors prevent a price from falling below a certain level. When a price floor is set below the equilibrium price, quantity supplied will exceed quantity demanded, and excess supply or surpluses will result.
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Why does a price ceiling prevent the market from reaching equilibrium prices and quantities?
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demand is perfectly inelastic -- Q does not change at all when price changes (vertical demand curve)
Ex) essential goods
Ex) essential goods
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Why does a price floor prevent the market from reaching equilibrium prices and quantities?
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demand is inelastic -- demand is relatively unresponsive to a price change
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If price elasticity of demand = 0,
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demand is unit elastic -- % change in demand is the same as % change in price
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If price elasticity of demand is < 1,
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demand is elastic -- demand is responsive to a price change
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If price elasticity of demand = 1,
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demand is perfectly elastic -- if price increases even slightly, D=0
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If price elasticity of demand > 1,
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supply is perfectly inelastic -- does not respond to change in demand (perfectly vertical)
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If price elasticity of demand is infinite,
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supply is inelastic -- supply is relatively unresponsive to change in demand
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If price elasticity of supply = 0,
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supply is perfectly elastic -- change in demand does not change price (perfectly horizontal)
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If price elasticity of supply < 1,
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supply is elastic -- supply is relatively responsive to change in demand
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If price elasticity of supply is infinite,
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S&D helps us make predictions about perfectly competitive markets and when all firms and consumers are price takers.
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If price elasticity of supply > 1,
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1) many buyers and sellers
2) identical products
3) all market agents have full information
4) transaction costs are negligible
5) firms can easily enter and exit
2) identical products
3) all market agents have full information
4) transaction costs are negligible
5) firms can easily enter and exit
question
What are the assumptions of the supply and demand model?
answer
1) monopoly/monopsony
2) differentiated goods
3) asymmetrical information
4) transportation is not free
5) new firms cannot enter easily or face threats
2) differentiated goods
3) asymmetrical information
4) transportation is not free
5) new firms cannot enter easily or face threats
question
When is it appropriate to use a supply and demand model?
answer
1) complete --> when facing 2 bundles {a, b}, a consumer can rank them so that a}b, b}a, or a~b
2) transitivity --> consumer preferences are logically consistent
3) monotonicity (more is better) --> all else equal, more of a good is preferred
2) transitivity --> consumer preferences are logically consistent
3) monotonicity (more is better) --> all else equal, more of a good is preferred
question
When is it NOT appropriate to use a supply and demand model?
answer
-have a negative slope (willing to give up some to get more of other goods)
-further from the origin (0,0), preferred (the more, the better)
-convex toward 0 (decreasing marginal utility
-Indifference curves cannot cross
-further from the origin (0,0), preferred (the more, the better)
-convex toward 0 (decreasing marginal utility
-Indifference curves cannot cross
question
What are the properties of a rational consumer's preferences?
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Price, income of consumers, prices of related goods, preferences of consumers, externalities
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What are the properties of indifference curves?
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relates consumer's utility to their demand curve -- PCC slopes up because utility is higher when more can be consumed (more is better)
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What other factors might drive demand, but are not captured in the demand curves from class?
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the relationship between the quantity demanded of a single good and income, holding prices constant
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Price Consumption Curve (PCC)
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If EI is > 0, the good is normal
If EI is < 0, the good is inferior
*refer to last page of notes
If EI is < 0, the good is inferior
*refer to last page of notes
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Engel Curve
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A price increase shrinks the opportunity set --> effectively reduces income
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How is the shape of the Engel curve determined by the income elasticity of demand? (if goods are normal or inferior)
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Changing the price of 1 good changes the relative price of the other good
question
How does a change in income relate to a change in price?
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MRS (slope of IC) = MRT (slope of BC)
MUx/Px = MUy/Py
The budget line is tangent to the indifference curve at the bundle chosen
MUx/Px = MUy/Py
The budget line is tangent to the indifference curve at the bundle chosen
question
How does a change in the price of one good change the total opportunity set?
answer
How responsive consumers are to price change
If cross price elasticity > 0, goods are substitutes
If cross price elasticity < 0, goods are complements
If cross price elasticity > 0, goods are substitutes
If cross price elasticity < 0, goods are complements
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How do you know if a consumer chooses optimally?
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E = %ΔQ/%ΔP = ΔQ/ΔP P/Q = dQ/dP P/Q
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Cross Price Elasticity
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Downward sloping and straight
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What is the formula for finding elasticity?
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L-shaped
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If two goods are perfect substitutes, then the indifference curves for those two goods would be
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Set of numbers that reflect the relative rankings of bundles of goods
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If two goods are perfect complements, then the indifference curves for those two goods would be
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3/x
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Utility
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the marginal rate of substitution of one good for another good.
question
What is the derivative of ln (x^3) with respect to x
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the assumption of a diminishing marginal rate of substitution.
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The slope of an indifference curve reveals:
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horizontal lines.
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Indifference curves are convex to the origin because of:
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Transivity
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Envision a graph with meat on the horizontal axis and vegetables on the vertical axis. A strict vegetarian would have indifference curves that are:
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There will be no effect on the budget line.
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If a consumer prefers basket A to basket B and basket B to basket C, then the consumer also prefers A to C. This assumption is called:
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None of the above
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If prices and income in a two-good society double, what will happen to the budget line?
answer
-7/15
question
Suppose a consumer only purchases food and clothing, and food is plotted along the horizontal axis of the consumer's indifference map. If the price of food and clothing increase and income does not change, then the budget line changes by rotating:
-clockwise about the fixed vertical axis intercept.
-counter-clockwise about the fixed vertical axis intercept.
-clockwise about the fixed horizontal axis intercept.
-counter-clockwise about the fixed horizontal axis intercept.
-none of the above
-clockwise about the fixed vertical axis intercept.
-counter-clockwise about the fixed vertical axis intercept.
-clockwise about the fixed horizontal axis intercept.
-counter-clockwise about the fixed horizontal axis intercept.
-none of the above
answer
marginal benefit equals marginal cost.
question
A consumer has $100 per day to spend on product A, which has a unit price of $7, and product B, which has a unit price of $15. What is the slope of the budget line if good A is on the horizontal axis and good B is on the vertical axis?
answer
•Completeness -every choice is ranked •Transitivity -if A>Band B>C, then A>C
•Monotonicity -more is better
•Convexity -combinations preferred to extremes (e.g. some X and some Y is better than all X and zero Y)
•Monotonicity -more is better
•Convexity -combinations preferred to extremes (e.g. some X and some Y is better than all X and zero Y)
question
Satisfaction from consumption is maximized when:
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ICs cannot slope upward. This would violate monotonicity.
Ubiquitous -any possible bundle has an IC which passes through it
•Parallel -ICs can't cross each other
•Negative slope -sacrifice in order to maintain same level of utility
•Diminishing slope-ICs become less steep when you move down and to the right
Ubiquitous -any possible bundle has an IC which passes through it
•Parallel -ICs can't cross each other
•Negative slope -sacrifice in order to maintain same level of utility
•Diminishing slope-ICs become less steep when you move down and to the right
question
Properties of indifference curves
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Change in U/ Change in X
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Implications of IC Properties
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MU of X
/
MU of Y
/
MU of Y
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Marginal utility of x formula
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Opportunity set
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Marginal rate of substitution formula
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•Increases in income shift- the budget line away from the origin.
•Decreases in income shi- the budget line toward the origin.
•Income changes do not change the slope of the budget line.
•Decreases in income shi- the budget line toward the origin.
•Income changes do not change the slope of the budget line.
question
any bundle on or below the budget line:
answer
•The steps are as follows
:1.Define constraint (budget line)
2.Find MRS
3.Set MRS equal to price ra)o and plug in constraint
4.Solve for op)mal quan))es
:1.Define constraint (budget line)
2.Find MRS
3.Set MRS equal to price ra)o and plug in constraint
4.Solve for op)mal quan))es
question
possible effects on the budget line
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Normal : Consume more as income increases.
Inferior: Initially consume more as income increases, but at some point income is large enough that consumption of the inferior good falls.
Inferior: Initially consume more as income increases, but at some point income is large enough that consumption of the inferior good falls.
question
To mathema)cally find the op)mal bundle,
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-buy more of a good because other people are buying it
•Social media and Microsoft Office
•Bandwagon effect
•Social media and Microsoft Office
•Bandwagon effect
question
Normal vs Inferior Good
answer
buy less of a good because other people are buying it
•Ski tickets, road trips
•Snob effect: limited editions and rare items
•Ski tickets, road trips
•Snob effect: limited editions and rare items
question
Positive Network Externalities
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There are two different effects underlying the decreased demand for (normal) good X after an increase in Px•
Substitution effect -X is now relatively more expensive, making other goods more attractive (i.e. change in opportunity costs). Consume less of X and more of Y.
•Income effect -a higher Px shrinks the opportunity set, effectively reducing purchasing power. Just as in a reduction of income, consume less of everything.
(A decrease in Px would have the opposite effects.)
Know the graphs for the different effects
Substitution effect -X is now relatively more expensive, making other goods more attractive (i.e. change in opportunity costs). Consume less of X and more of Y.
•Income effect -a higher Px shrinks the opportunity set, effectively reducing purchasing power. Just as in a reduction of income, consume less of everything.
(A decrease in Px would have the opposite effects.)
Know the graphs for the different effects
question
Negative Network Externalities
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Whichever good is cheaper is all that matters for perfect substitutes, so the substitution effect is the driving factor.
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What are the responses to price changes
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The substitution effect is zero since the fixed ratio is what matters.
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Perfect Substitutes Characteristics
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Adding up all of the individual demand curves gives us the aggregate demand curve.
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Perfect Complements Characteristics
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Just as in the graphs, the key is to add Q (not P).
1.Rearrange in terms of Q
2.Sum Q
3.Rearrange in terms of P
1.Rearrange in terms of Q
2.Sum Q
3.Rearrange in terms of P
question
aggregate demand curve.
answer
•Price changes alter aggregate demand in a predictable direction.
•Income changes are not so clear, especially if there are distributional changes.
•Income changes are not so clear, especially if there are distributional changes.
question
Market demand via math
answer
When we buy something, we almost always would have paid more than the price to acquire it.
•The difference between our maximum willingness-to-pay (WTP) and the price is called consumer surplus
•The difference between our maximum willingness-to-pay (WTP) and the price is called consumer surplus
question
Changes to Aggregate Demand
answer
•A higher price reduces the quantity demanded, but by how much?
•Price elasticity of demand (!): the percentage change in QD , given a 1% increase in the price
•Ex: if a 1% price increase in the Spotify subscription price decreases subscribers by 2%, the elasticity is -2.
•Price elasticity of demand (!): the percentage change in QD , given a 1% increase in the price
•Ex: if a 1% price increase in the Spotify subscription price decreases subscribers by 2%, the elasticity is -2.
question
Consumer Surplus
answer
•If E >1, consumers respond to price changes. They are elastic
.•If E =1, consumers respond to price change with a proportional change in consumption. This is referred to as unitary elastic.
•If E <1, consumers are less responsive to price changes. They are inelastic.
•If E=∞, consumers will stop purchasing the good if there is even a slight price increase. They are perfectly elastic and can be represented by a horizontal demand curve.
•If E=0, consumers will buy the good at any price. They are perfectly inelastic and can be represented by a vertical demand curve.
.•If E =1, consumers respond to price change with a proportional change in consumption. This is referred to as unitary elastic.
•If E <1, consumers are less responsive to price changes. They are inelastic.
•If E=∞, consumers will stop purchasing the good if there is even a slight price increase. They are perfectly elastic and can be represented by a horizontal demand curve.
•If E=0, consumers will buy the good at any price. They are perfectly inelastic and can be represented by a vertical demand curve.
question
Price elasticity of demand (!):
answer
(Change in Q / Av Q) / (Change in P / Av P)
question
Different Elasticities and their meaning
answer
In elastic region, quantity demanded will increase by more than 1% for a 1% price decrease.At !=1, expenditure is at the maximum.
Optimal situation for firms maximizing revenue. More on that later...As elasticity decreases in magnitude, consumers becomes less sensitive to price.
A 1% price decrease generates less than a 1% increase in quantity, decreasing total expenditure.
Optimal situation for firms maximizing revenue. More on that later...As elasticity decreases in magnitude, consumers becomes less sensitive to price.
A 1% price decrease generates less than a 1% increase in quantity, decreasing total expenditure.
question
Calculating Elasticities (Formula)
answer
•Availability of substitutes -can you switch to something similar? Closer substitutes equal larger substitution effects.
-Uber/Lyft vs local utility provider
•Time -if you need it now, you'll deal with the price.
-Broken phone vs broken headphones•
-Note there can be short-run and long-run elasticities.
•Habit -if it is part of the routine or you are dependent on it, you will be less sensitive to changes in price.
-Coffee, tobacco, etc.
•Proportion of budget -more expensive items have larger income effects which (for normal goods) reinforce the substitution effect.
-Trips abroad vs socks
-Uber/Lyft vs local utility provider
•Time -if you need it now, you'll deal with the price.
-Broken phone vs broken headphones•
-Note there can be short-run and long-run elasticities.
•Habit -if it is part of the routine or you are dependent on it, you will be less sensitive to changes in price.
-Coffee, tobacco, etc.
•Proportion of budget -more expensive items have larger income effects which (for normal goods) reinforce the substitution effect.
-Trips abroad vs socks
question
Elasticities and Expenditure
answer
Utility is maximized, and all income is spent.
question
What makes consumers more / less elastic?
answer
the substitution effect.
question
What is true at each point along a price-consumption curve?
answer
the income effect.
question
After a good falls in price, consumers will tend to buy more of the good that has become cheaper
and less of those goods that are now relatively more expensive. This fact is called:
and less of those goods that are now relatively more expensive. This fact is called:
answer
a 1% increase in income will lead to a 1.5% increase in seeing movies at the theater. Your demand for movies is elastic with respect to income.
question
A change in consumption of a good resulting from an increase in purchasing power, with relative prices held constant, is referred to as:
answer
•The firm uses inputs in their production process to generate output.
•Common inputs:
•Labor (L): human effort. Many types, including skilled and unskilled.
•Capital (K): Goods used to produce other goods. Machines, buildings, technology, etc.
•Materials (M): Raw goods such as oil, lumber, etc.•Land
•Common inputs:
•Labor (L): human effort. Many types, including skilled and unskilled.
•Capital (K): Goods used to produce other goods. Machines, buildings, technology, etc.
•Materials (M): Raw goods such as oil, lumber, etc.•Land
question
If your income elasticity of demand for going to the movie theater is 1.5, then
answer
Q= F(K,L,M;A)
•The highest output Q that can be generated given inputs.
•It would be feasible for the firm to produce less than this at given inputs, but that would be inefficient.
•A is a technology parameter. Usually given, this value shifts the level of output for the same level of inputs.
More simply- Q= F(K,L)
•The highest output Q that can be generated given inputs.
•It would be feasible for the firm to produce less than this at given inputs, but that would be inefficient.
•A is a technology parameter. Usually given, this value shifts the level of output for the same level of inputs.
More simply- Q= F(K,L)
question
Inputs for the production function
answer
the amount of Q produced for a given set of inputs.•Simply Q=F(K,L),&for a specific K and L.
question
The production function formula
answer
he change in output given a 1-unit increase in a particular input.
MP= change in Q(K,L) / change in an Input
MP= change in Q(K,L) / change in an Input
question
Total product:
answer
total product divided by total input.
AP= Q(K,L) / Input
AP= Q(K,L) / Input
question
Marginal product:
answer
•Short run -time horizon over which at least one input cannot be adjusted.
•Ex: You expect your food truck will receive a lot of business at the festival this weekend. You can purchase more ingredients and hire additional workers but you're stuck with the size of the kitchen.
•Long run -time horizon over which all inputs can be adjusted.
•Ex: Business is booming. Over the next few years, you may want to buy an extra truck or open a traditional restaurant.
•Ex: You expect your food truck will receive a lot of business at the festival this weekend. You can purchase more ingredients and hire additional workers but you're stuck with the size of the kitchen.
•Long run -time horizon over which all inputs can be adjusted.
•Ex: Business is booming. Over the next few years, you may want to buy an extra truck or open a traditional restaurant.
question
Average product
answer
-as equal amounts of an input are sequentially added to to the production process while holding all others fixed, output increments will eventually diminish.•In other words, increasing an input will increase output but at smaller and smaller gains.
question
Production and Time
•How quickly can the firm adjust inputs to maximize output?
•How quickly can the firm adjust inputs to maximize output?
answer
Along an isoquant, the firm maintains the same output but varies the combination of inputs.
question
•Law of Diminishing (Marginal) Returns
answer
•MRTS: the rate at which one input may be substituted for another without altering the level of output.
- ( MP l / MP k)
The MRTS is the slope of the isoquant, which is also equal to the ratio of marginal productivities.
- ( MP l / MP k)
The MRTS is the slope of the isoquant, which is also equal to the ratio of marginal productivities.
question
Isoquants
answer
doubling inputs more than doubles output
question
Marginal Rate of Technical Substitution
answer
doubling inputs increases output by less than double
question
Increasing Returns to Scale
answer
Decreasing -if a firm grows too large it will become less efficient. Better to have many small firms (competition).
•Increasing -the bigger the better, at least from an efficiency standpoint. Better to have fewer, large firms.
•Constant -can support any firm size.
•Increasing -the bigger the better, at least from an efficiency standpoint. Better to have fewer, large firms.
•Constant -can support any firm size.
question
Decreasing Returns to Scale
answer
a Production Function
question
Important of returns to scale
answer
actual expenses to produce output; explicit costs
•Cost of new tractor, computer, etc.
•Cost of new tractor, computer, etc.
question
A function that indicates the maximum output per unit of time that a firm can produce, for every combination of inputs with a given technology, is called:
answer
cost of next best alternative; implicit costs
•What are you giving up to attend college? Go to class today?
•What are you giving up to attend college? Go to class today?
question
Accounting costs
answer
accounting costs + opportunity costs
•Note that opportunity costs are often hard to think about, but are important in decision-making, nevertheless.
•Note that opportunity costs are often hard to think about, but are important in decision-making, nevertheless.
question
Opportunity costs:
answer
FC= rK where r is rate of capitial
VC= wL where w is wage rate
TC= VC + FC
VC= wL where w is wage rate
TC= VC + FC
question
Economic costs
answer
The change in total cost for a given change in output. Always positive but could be increasing or decreasing.
Change in cost (q) / Change (q)
Change in cost (q) / Change (q)
question
Fixed, Variable, and Total costs formulas
answer
Always positive, but can rise or fall depending on q.
Cost (q) / q
Cost (q) / q
question
Marginal cost: and its formla
answer
FC / q
VC/ q
VC/ q
question
Average Total Cost
answer
Initially, labor is more productive, but diminishing returns take effect.
•As MP rises, MC falls (and vice versa).
•As MP rises, MC falls (and vice versa).
question
Average Fixed Cost:
average variable cost
average variable cost
answer
MC intersects ATC at the minimum of the ATC curve. (Ray from origin is tangent to TC curve.)
MC intersects AVC at the minimum of the AVC curve.(Ray from origin is tangent to VC curve.)
MC intersects AVC at the minimum of the AVC curve.(Ray from origin is tangent to VC curve.)
question
Problem in the Short Run
answer
•From last time, we know that MP intersects AP at the the maximum of the AP curve
. •Due to diminishing returns, subsequent inputs have lower MP and will "pull down" the AP curve through lower averages of less productive inputs.
•Not coincidentally, the MC curve intersects the AVC curve at the minimum of the AVC curve. •Due to increasing costs of producing additional quantities, MC will "pull up" the average as subsequent Q become more costly to produce and larger MC increase the average.
. •Due to diminishing returns, subsequent inputs have lower MP and will "pull down" the AP curve through lower averages of less productive inputs.
•Not coincidentally, the MC curve intersects the AVC curve at the minimum of the AVC curve. •Due to increasing costs of producing additional quantities, MC will "pull up" the average as subsequent Q become more costly to produce and larger MC increase the average.
question
MC , ATC , AVC on a graph
answer
•Outside of the short run, firms can adjust all inputs.
•Optimal point is where isoquant line is tangent to isocostline.•Spending the least amount on inputs to reach a given output.
•Firm's problem is analogous to consumer's problem•Instead of facing a given budget constraint, firms choose an isocostline (by choosing inputs).
•Instead of trying to reach the highest indifference curve subject to BC, firms try to operate on the lowest IL for a desired quantity.
•Optimal point is where isoquant line is tangent to isocostline.•Spending the least amount on inputs to reach a given output.
•Firm's problem is analogous to consumer's problem•Instead of facing a given budget constraint, firms choose an isocostline (by choosing inputs).
•Instead of trying to reach the highest indifference curve subject to BC, firms try to operate on the lowest IL for a desired quantity.
question
MC and MP and their relationship to Averages on the graph
answer
C= rK + wL
Slope = - w/r
Slope = - w/r
question
givens In the Long Run
answer
Select the combination of inputs where the isoquant is tangent to the isocost line.
A change in input prices will (for most isoquants) change the optimal bundle of inputs
A change in input prices will (for most isoquants) change the optimal bundle of inputs
question
Isocost Lines formulas
answer
This occurs where MRTS = (MPl / MPk) = ( W / R)
question
How to find cost minimization
answer
•Increase inputs by n, output increases by n
•Every additional unit has the same marginal cost: Long run average cost curve (LAC) is constant
•Every additional unit has the same marginal cost: Long run average cost curve (LAC) is constant
question
how to solve : What is the optimal capital-labor ratio for this firm?
answer
1.Homogeneous good -Firm A's product is a perfect substitute for Firm B's product. No product differentiation.
2.Price takers -firms cannot affect the market price; they take the price as given. If they raise their prices they lose all customers to someone else.
3.Perfect information -both consumers and producers have full information. No asymmetric information (e.g. moral hazard, adverse selection, etc.).
4.Free entry/exit -no barriers to entry (e.g. patents, licensing, etc.). If a firm wants to start producing in a particular market they can. If a firm wants to exit a market they can liquidate all of their resources in the LR.
2.Price takers -firms cannot affect the market price; they take the price as given. If they raise their prices they lose all customers to someone else.
3.Perfect information -both consumers and producers have full information. No asymmetric information (e.g. moral hazard, adverse selection, etc.).
4.Free entry/exit -no barriers to entry (e.g. patents, licensing, etc.). If a firm wants to start producing in a particular market they can. If a firm wants to exit a market they can liquidate all of their resources in the LR.
question
Constant Returns to Scale
answer
•If p > AVC, it is better to produce at a loss.
•If p < AVC, it is better to shut down production.
•If p < AVC, it is better to shut down production.
question
Analysis under Perfect Competition includes the following assumptions:
answer
•Producer surplus = Revenue -Variable Costs
•Accounting Profit = Revenue -Explicit Costs (Variable and Fixed)
•Economic Profit = Revenue -Explicit Costs -Implicit Costs
In the SR, when fixed costs are positive, PS will be greater than profit.
•Accounting Profit = Revenue -Explicit Costs (Variable and Fixed)
•Economic Profit = Revenue -Explicit Costs -Implicit Costs
In the SR, when fixed costs are positive, PS will be greater than profit.
question
Key question: How do we lose the leastamount of money?
answer
is referred to as the total welfare of society.
•The efficient outcome is where total welfare/surplus is maximized
•The efficient outcome is where total welfare/surplus is maximized
question
Important Differences
answer
They are the same thing: subsidies = negative taxes
Many different kinds
•Sales, income, corporate, capital gains, property, estate, etc.
•Ad valorem -applied as percentage of price (e.g. 7.5% sales tax)
•Excise -fixed amount based on quantity (e.g. $6.50 per gallon of alcohol); sometimes called "specific"
Many different kinds
•Sales, income, corporate, capital gains, property, estate, etc.
•Ad valorem -applied as percentage of price (e.g. 7.5% sales tax)
•Excise -fixed amount based on quantity (e.g. $6.50 per gallon of alcohol); sometimes called "specific"
question
The sum of CS and PS is ...
answer
Es / Es - Ed (Elasticities)
Whichever is more elastic, consumer or producer, will bear more of the burden of a tax
Whichever is more elastic, consumer or producer, will bear more of the burden of a tax
question
Taxes and Subsidies
answer
•The EITC works as a wage subsidy, primarily for low-income working mothers
•Supply increases and competes down the market wage, but the EITC tops it up above original.
•PS increases, as does CS.
•Incidence?•Government pays for subsidy.
•While there is no surplus (unemployment), there is still DWL.
•Supply increases and competes down the market wage, but the EITC tops it up above original.
•PS increases, as does CS.
•Incidence?•Government pays for subsidy.
•While there is no surplus (unemployment), there is still DWL.
question
Pass-through, or buyer's burden:
answer
true
question
Effects of the EITC
answer
Find the max amount of each good you can buy when you exhaust income. those values are the intercept on the axis
Change in Y / Change in X is just the slope of the budget line
Change in Y / Change in X is just the slope of the budget line
question
. For a monopolist, at every output level, average revenue is equal to price.
true or false
true or false
answer
1.Define constraint (budget line)
2.Find MRS
3.Set MRS equal to price ra)o and plug in constraint
4.Solve for op)mal quan))es
2.Find MRS
3.Set MRS equal to price ra)o and plug in constraint
4.Solve for op)mal quan))es
question
What is the first step in making a budget line
answer
find price consumption line by drawing a line through the bundles on ICs. Then make anew chart below and transpose the points from the price consumptions line and create the agg IC
question
To mathemacally find the optmal bundle, focus on the tangency point.
answer
•Technology increases production for any given level of capital and labor.
question
How do we predict how much of a good will be consumed at anyprice?
answer
-Start with Q= F(K,L)
-Multiply inputs by a constant " n "
-Compare that output to the initial output multiplied by the same constant " n "
If nQ < F(nK,nL) then its IRTS
if nQ = F(nK,nL) then its CRTS
If nQ > F(nK,nL) then its DRTS
-Multiply inputs by a constant " n "
-Compare that output to the initial output multiplied by the same constant " n "
If nQ < F(nK,nL) then its IRTS
if nQ = F(nK,nL) then its CRTS
If nQ > F(nK,nL) then its DRTS
question
Tech innovation and relation to capital and labor
answer
MC falls and vice versa
question
Finding Returns to Scale Mathematically
answer
1.Homogeneous good -Firm A's product is a perfect substitute for Firm B's product. No product differentiation.
2.Price takers -firms cannot affect the market price; they take the price as given. If they raise their prices they lose all customers to someone else.
3.Perfect information -both consumers and producers have full information. No asymmetric information (e.g. moral hazard, adverse selection, etc.).
4.Free entry/exit -no barriers to entry (e.g. patents, licensing, etc.). If a firm wants to start producing in a particular market they can. If a firm wants to exit a market they can liquidate all of their resources in the LR.
2.Price takers -firms cannot affect the market price; they take the price as given. If they raise their prices they lose all customers to someone else.
3.Perfect information -both consumers and producers have full information. No asymmetric information (e.g. moral hazard, adverse selection, etc.).
4.Free entry/exit -no barriers to entry (e.g. patents, licensing, etc.). If a firm wants to start producing in a particular market they can. If a firm wants to exit a market they can liquidate all of their resources in the LR.
question
in the SR ; as MP rises.....
answer
when the market price is equal ATC the firm makes zero economic profits.Once the market price is greater than ATC, the firm makes positive economic profits.
question
Assumptions when in perfect competition
answer
•Monopoly conditions are satisfied
•Unique good (no substitutes)
•One seller (no competitors
)•Barriers to entry (no threat of competition)
•Consumers cannot resell good
•Different buyers must have different elasticities
•If everyone has the same sensitivity to price, there is no way to charge different prices.
•Unique good (no substitutes)
•One seller (no competitors
)•Barriers to entry (no threat of competition)
•Consumers cannot resell good
•Different buyers must have different elasticities
•If everyone has the same sensitivity to price, there is no way to charge different prices.
question
Breakeven point
answer
•Instead of setting one monopoly price, charge everyone their willingness-to-pay (WTP).
•MR is now the same as demand curve. Extract all consumer surplus.
•MR is now the same as demand curve. Extract all consumer surplus.
question
When can a firm price discriminate?
answer
charge different prices based on quantity of good purchased.
•Per unit: small vs large coffee
•Block pricing: data charges on cell phone plan, utility bills
•Per unit: small vs large coffee
•Block pricing: data charges on cell phone plan, utility bills
question
•1st degree price discrimination
answer
divide consumers into different groups and charge them different prices.
question
•2nd Degree Price Discrimination
answer
charge different prices based on time of purchase.
question
•3rd Degree Price Discrimination
answer
charge one fee for entry and another fee per unit
question
Intertemporal price discrimination
answer
adjust prices seasonally, daily, hourly, or even by the second.
question
Two-part tariffs -
answer
is the additional benefit accrued to others as Q increases by one unit.
question
Peak load pricing strat
answer
I and II are false.
question
The marginal external benefit (MEB)
answer
an increase in supply that will bring price down to the level it was before the demand shift.
question
Use the following statements to answer this question:
I. Markets that have only a few sellers cannot be highly competitive.
II. Markets with many sellers are always perfectly competitive.
I. Markets that have only a few sellers cannot be highly competitive.
II. Markets with many sellers are always perfectly competitive.
answer
F(x)= G(x)/ H(x)
F1(x)= (top D X bottom - Top X Bottom D)/ Bottom squared (abs val)
F1(x)= (top D X bottom - Top X Bottom D)/ Bottom squared (abs val)
question
In a constant-cost industry, an increase in demand will be followed by:
answer
when there are limits on which values x
can take
say the limit is between 0 and 5 but you get x=8. the answer would then be x=5
can take
say the limit is between 0 and 5 but you get x=8. the answer would then be x=5
question
Taking the derivative of a fraction
answer
consumer surplus is the top triangle within the bounds of demand and supply. producer surplus is on the bottom.
question
• Constrained maximization
answer
Excess supply
(surplus) - above equilibrium
Excess demand
(shortage) - under equilibrium
(surplus) - above equilibrium
Excess demand
(shortage) - under equilibrium
question
Where to find consumer and producer surplus in a perfect equilibrium model?
answer
the curve "moves" when price or quantity change but the curve Shifts due to :
things such as Battery technology improves
making it cheaper to make
smartwatches.
things such as Battery technology improves
making it cheaper to make
smartwatches.
question
Surplus vs Shortage
answer
-Shifts in the supply curve
• Technology
• Factor prices (e.g. wages, raw materials, interest rates)
• Weather
• Number of firms in the market
-Shifts in the demand curve
• Income
• Tastes/preferences
• Prices of other goods (substitutes vs. complements)
• Population
• Technology
• Factor prices (e.g. wages, raw materials, interest rates)
• Weather
• Number of firms in the market
-Shifts in the demand curve
• Income
• Tastes/preferences
• Prices of other goods (substitutes vs. complements)
• Population
question
Moving Along vs Shifting along supply curve
answer
The price will increase by less than $100
question
What shifts the demand and supply curves
answer
• Completeness - every choice is ranked
• Transitivity - if A > B and B > C, then A > C
• Monotonicity - more is better(ID curve shifting up the supply curve line
• Convexity - combinations preferred to extremes (e.g. some X and some Y is
better than all X and zero Y)
• Transitivity - if A > B and B > C, then A > C
• Monotonicity - more is better(ID curve shifting up the supply curve line
• Convexity - combinations preferred to extremes (e.g. some X and some Y is
better than all X and zero Y)
question
What happens when a tax of $ 100 is levied on producers?
What if the tax is levied on the consumer?
What if the tax is levied on the consumer?
answer
cant have two point on the ID curve "on top" of eachother
ICs cannot slope upward. This would violate monotonicity
ICs cannot cross. This would violate transitivity.
ICs cannot slope upward. This would violate monotonicity
ICs cannot cross. This would violate transitivity.
question
Properties of indifference curves
answer
substitutes- straight line from on product to the other.
compliment- curve takes on an L shape along the compliment parameters
compliment- curve takes on an L shape along the compliment parameters
question
Things indifference curves cannot do
answer
How much X would you be willing to give up to receive one more unit
of Y, remaining on the same IC?
• This depends on your starting point and your preferences
of Y, remaining on the same IC?
• This depends on your starting point and your preferences
question
• Perfect substitutes indifference curve and
Perfect complements
Perfect complements
answer
each additional unit of good X provides less utility
question
Marginal Rate of Substitution
answer
MUx = Change in Utility / Change in X
MUy= change in utitlity / Change in y
MUy= change in utitlity / Change in y
question
Diminishing marginal utility
answer
can be represented as the ratio of
marginal utilities
MRS= MUx/MUy
marginal utilities
MRS= MUx/MUy
question
Marginal Utility formula
answer
Without scarcity, there would be no problem to solve.
Maximize utility subject to constraints
• Given income and prices, we can determine what bundles are
feasible.
Maximize utility subject to constraints
• Given income and prices, we can determine what bundles are
feasible.
question
Marginal rate of substitution Formula
answer
1)The first step is to find the maximum
number of each good you could
purchase given your income.
2)The maximum amounts of each good
are their respective intercepts.
Connecting the two gives you the
budget line.
3)You can choose any bundle on or below
the budget line: opportunity set.
Spending all of your income puts you
on the budget line.
number of each good you could
purchase given your income.
2)The maximum amounts of each good
are their respective intercepts.
Connecting the two gives you the
budget line.
3)You can choose any bundle on or below
the budget line: opportunity set.
Spending all of your income puts you
on the budget line.
question
Budget constraint assumptions
answer
Income:
• Increases in income shift- the budget line away from the origin.
• Decreases in income shift- the budget line toward the origin.
• Income changes do not change the slope of the budget line.
Price :
Changing the price of one good changes the relative price of the
other good.
• A price increase, by shrinking the opportunity set, effectively reduces
your income.
• A price decrease has the opposite effect as it expands the opportunity
set.
• Note that prices can change simultaneously and in different
directions.
• Increases in income shift- the budget line away from the origin.
• Decreases in income shift- the budget line toward the origin.
• Income changes do not change the slope of the budget line.
Price :
Changing the price of one good changes the relative price of the
other good.
• A price increase, by shrinking the opportunity set, effectively reduces
your income.
• A price decrease has the opposite effect as it expands the opportunity
set.
• Note that prices can change simultaneously and in different
directions.
question
Steps when finding budget constraints
answer
for a regular IC - Pick the point where the curve of the IC is tangent with the budget constraint
Perfect substitute ICs- Spend everything on
the cheapest good
Perfect compliment ICs- Buy mix at the kink which is tangent to the budget line
Perfect substitute ICs- Spend everything on
the cheapest good
Perfect compliment ICs- Buy mix at the kink which is tangent to the budget line
question
Budget constraint price VS income changes
answer
focus on the tangency
point
• The steps are as follows:
1. Define constraint (budget line)
2. Take the derivative of U with respect to both goods to find MRS
3. Set MRS equal to price ratio and plug in constraint
4. Solve for optimal quantities
point
• The steps are as follows:
1. Define constraint (budget line)
2. Take the derivative of U with respect to both goods to find MRS
3. Set MRS equal to price ratio and plug in constraint
4. Solve for optimal quantities
question
Choosing a bundle when budget constraint and indifference curve is known
answer
Normal - Consume more as income
increases.
Inferior- Initially consume more but at certain point one begins to buy less as income increases.
increases.
Inferior- Initially consume more but at certain point one begins to buy less as income increases.
question
How to mathematically find the optimal bundle?
answer
Positive Network Externalities - buy more of a good because other people
are buying it
• Negative Network Externalities - buy less of a good because other people
are buying it
are buying it
• Negative Network Externalities - buy less of a good because other people
are buying it
question
• Normal vs. inferior goods
answer
Substitution effect - X is now relatively more expensive, making other goods
more attractive (i.e. change in opportunity costs). Consume less of X and
more of Y.
• Income effect - a higher Px shrinks the opportunity set, effectively reducing
purchasing power. Just as in a reduction of income, consume less of
everything.
(A decrease in Px would have the opposite effects.)
For an inferior good, the income
effect works in the opposite
direction.
more attractive (i.e. change in opportunity costs). Consume less of X and
more of Y.
• Income effect - a higher Px shrinks the opportunity set, effectively reducing
purchasing power. Just as in a reduction of income, consume less of
everything.
(A decrease in Px would have the opposite effects.)
For an inferior good, the income
effect works in the opposite
direction.
question
• Positive Network VS Negative Network Externalities
answer
go back to slides
Labor supply example
Labor supply example
question
• There are two different effects underlying the decreased demand for
(normal) good X after an increase in Px
(normal) good X after an increase in Px
answer
substitutes - Whichever good is cheaper is all
that matters for perfect substitutes, so the substitution effect is the driving factor.
compliment- The substitution effect is
zero since the fixed ratio is
what matters.
that matters for perfect substitutes, so the substitution effect is the driving factor.
compliment- The substitution effect is
zero since the fixed ratio is
what matters.
question
know how to recognize all three effects of a price change on a graph
answer
-Start with the initial budget line
-Since these are perfect
complements and we know the
optimal ratio, we know the
initial bundle.
-Adjust to new prices via budget line how ever many times it changes
-Start with the blank relationship
between hot dog price and
quantity of hot dogs consumed.Transpose each data point from
the previous graph.
-Since these are perfect
complements and we know the
optimal ratio, we know the
initial bundle.
-Adjust to new prices via budget line how ever many times it changes
-Start with the blank relationship
between hot dog price and
quantity of hot dogs consumed.Transpose each data point from
the previous graph.
question
Perfect substitute and compliment effects of a price change
answer
Just as in the graphs, the key is to add Q (not P).
Mario's demand for mushrooms: P = 24 − 2Qm
Luigi's demand for mushrooms: P = 16 − 8Ql
1. Rearrange in terms of Q
2. Sum Q
3. Rearrange in terms of P
Aggregating individual demand to market
demand allows us to calculate consumer surplus
for the entire market.
Mario's demand for mushrooms: P = 24 − 2Qm
Luigi's demand for mushrooms: P = 16 − 8Ql
1. Rearrange in terms of Q
2. Sum Q
3. Rearrange in terms of P
Aggregating individual demand to market
demand allows us to calculate consumer surplus
for the entire market.
question
Tobias prefers to consume hot dogs and hot dog buns in a precise 1:1
ratio.
• What kind of good is this?
• The price of hot dogs increases from $1 to $2 to $3. Hot dog buns
remain constant at $1. Tobias has $12 total.
• What is the demand curve for hot dogs?
Steps to complete
ratio.
• What kind of good is this?
• The price of hot dogs increases from $1 to $2 to $3. Hot dog buns
remain constant at $1. Tobias has $12 total.
• What is the demand curve for hot dogs?
Steps to complete
answer
the percentage change in QD given a 1%
increase in the price
• Ex: if a 1% price increase in the Spotify subscription price decreases
subscribers by 2%, the elasticity is -2
increase in the price
• Ex: if a 1% price increase in the Spotify subscription price decreases
subscribers by 2%, the elasticity is -2
question
Finding Market demand via math
answer
• If (E) > 1 , consumers respond to price changes. They are elastic.
• If (E) = 1 , consumers respond to price change with a proportional
change in consumption. This is referred to as unitary elastic.
• If (E) < 1 , consumers are less responsive to price changes. They are
inelastic.
• If (E) = ∞ , consumers will stop purchasing the good if there is even a
slight price increase. They are perfectly elastic and can be represented
by a horizontal demand curve.
• If (E) = 0 , consumers will buy the good at any price. They are
perfectly inelastic and can be represented by a vertical demand curve.
• If (E) = 1 , consumers respond to price change with a proportional
change in consumption. This is referred to as unitary elastic.
• If (E) < 1 , consumers are less responsive to price changes. They are
inelastic.
• If (E) = ∞ , consumers will stop purchasing the good if there is even a
slight price increase. They are perfectly elastic and can be represented
by a horizontal demand curve.
• If (E) = 0 , consumers will buy the good at any price. They are
perfectly inelastic and can be represented by a vertical demand curve.
question
Price elasticity of demand (E):
answer
E= ( change in Q/ Q) / (change in P/ P)
If you're given a graph or not given a demand equation, use the arc
elasticity method.
• Use average Q and P
If you're given a demand equation, use point elasticity method.
• Example: Find elasticity if Q = 100 - 4P and price is $10
• Take derivative to find Change in Q over Change in P
• Plug in price to find Q.
If you're given a graph or not given a demand equation, use the arc
elasticity method.
• Use average Q and P
If you're given a demand equation, use point elasticity method.
• Example: Find elasticity if Q = 100 - 4P and price is $10
• Take derivative to find Change in Q over Change in P
• Plug in price to find Q.
question
Elasticities
answer
-Availability of substitutes - can you switch to something similar? Closer
substitutes equal larger substitution effects.
• Uber/Lyft vs local utility provider
-Time - if you need it now, you'll deal with the price.
• Broken phone vs broken headphones
• Note there can be short-run and long-run elasticities.
-Habit - if it is part of the routine or you are dependent on it, you will be less
sensitive to changes in price.
• Coffee, tobacco, etc.
-Proportion of budget - more expensive items have larger income effects
which (for normal goods) reinforce the substitution effect
substitutes equal larger substitution effects.
• Uber/Lyft vs local utility provider
-Time - if you need it now, you'll deal with the price.
• Broken phone vs broken headphones
• Note there can be short-run and long-run elasticities.
-Habit - if it is part of the routine or you are dependent on it, you will be less
sensitive to changes in price.
• Coffee, tobacco, etc.
-Proportion of budget - more expensive items have larger income effects
which (for normal goods) reinforce the substitution effect
question
Calculating Elasticities
answer
• Labor (L): human effort. Many types, including skilled and unskilled.
• Capital (K): Goods used to produce other goods. Machines, buildings,
technology, etc.
• Materials (M): Raw goods such as oil, lumber, etc.
• Land
• Capital (K): Goods used to produce other goods. Machines, buildings,
technology, etc.
• Materials (M): Raw goods such as oil, lumber, etc.
• Land
question
What makes consumers more / less elastic?
answer
Q = F(K, L,M ; A)
• The highest output Q that can be generated given inputs.
• It would be feasible for the firm to produce less than this at given inputs, but that would
be inefficient.
• A is a technology parameter. Usually given, this value shifts the level of output
for the same level of inputs.
• More simply: Q = F(K, L)
• The highest output Q that can be generated given inputs.
• It would be feasible for the firm to produce less than this at given inputs, but that would
be inefficient.
• A is a technology parameter. Usually given, this value shifts the level of output
for the same level of inputs.
• More simply: Q = F(K, L)
question
• Common inputs in production
answer
the amount of Q produced for a given set of inputs.
• Simply Q = F(K, L) for a specific K and L.
• How many frozen bananas can you make if you work L hours?
• Simply Q = F(K, L) for a specific K and L.
• How many frozen bananas can you make if you work L hours?
question
The Production Function
answer
the change in output given a 1-unit increase in a
particular input.
MP= Change in Q (K,L)/ Change in input
particular input.
MP= Change in Q (K,L)/ Change in input
question
• Total product
answer
total product divided by total input.
AP= Total Q(K,L)/ Total input
AP= Total Q(K,L)/ Total input
question
Marginal product
answer
We often hear how investment increases wages. Why/how
• What happens when we increase K from 10 to 20?
• Higher productivity for each worker, potentially higher wages.
• Think of extreme: small business with one worker who keeps profits. If a new
computer helps her increase production, her wages increase.
• Disclaimer: this conclusion depends on the production function.
• What happens when we increase K from 10 to 20?
• Higher productivity for each worker, potentially higher wages.
• Think of extreme: small business with one worker who keeps profits. If a new
computer helps her increase production, her wages increase.
• Disclaimer: this conclusion depends on the production function.
question
Average product
answer
Technology increases production for any given level of capital and labor.
• A level shift up can be "good" for humanity: food to feed 7B people.
A change that affects the shape of the production function can be "bad" for
humanity: substitute capital for labor (e.g. automate jobs).
• A level shift up can be "good" for humanity: food to feed 7B people.
A change that affects the shape of the production function can be "bad" for
humanity: substitute capital for labor (e.g. automate jobs).
question
Impact of Capital on Wages
answer
time horizon over which at least one input cannot be
adjusted.
• Ex: You expect your food truck will receive a lot of business at the festival this
weekend. You can purchase more ingredients and hire additional workers but
you're stuck with the size of the kitchen.
adjusted.
• Ex: You expect your food truck will receive a lot of business at the festival this
weekend. You can purchase more ingredients and hire additional workers but
you're stuck with the size of the kitchen.
question
How technology effects capital and Labor (K,L)
answer
time horizon over which all inputs can be adjusted.
• Ex: Business is booming. Over the next few years, you may want to buy an
extra truck or open a traditional restaurant.
• Ex: Business is booming. Over the next few years, you may want to buy an
extra truck or open a traditional restaurant.
question
Short run
answer
• Law of Diminishing (Marginal) Returns - as equal amounts of an input
are sequentially added to to the production process while holding all
others fixed, output increments will eventually diminish.
• In other words, increasing an input will increase output but at smaller and
smaller gains.
• Capital is typically used as the example of a fixed input in the SR (e.g.
factory size), though labor may be difficult to adjust as well (e.g. labor
contracts).
are sequentially added to to the production process while holding all
others fixed, output increments will eventually diminish.
• In other words, increasing an input will increase output but at smaller and
smaller gains.
• Capital is typically used as the example of a fixed input in the SR (e.g.
factory size), though labor may be difficult to adjust as well (e.g. labor
contracts).
question
• Long run
answer
• In the long run, firms can choose all inputs.
• Build a larger factory, relocate to another country, etc.
• What combinations of inputs generate the same level of output?
Example: Q = 4KL
How many ways can we produce Q = 4?
Solve for K in terms of L: K = 1/L
• Build a larger factory, relocate to another country, etc.
• What combinations of inputs generate the same level of output?
Example: Q = 4KL
How many ways can we produce Q = 4?
Solve for K in terms of L: K = 1/L
question
Production in the Short run
answer
Budget restraints for a firms production . just like ID curves at any point on the line has the same Utility
question
Production in the Long Run
answer
• MRTS: the rate at which one input may be substituted for another
without altering the level of output
Work out examples for this , Most definitly will be a multi part on the exam
without altering the level of output
Work out examples for this , Most definitly will be a multi part on the exam
question
Isoquant
answer
• Increasing Returns to Scale - doubling inputs more than doubles output.Additional unit costs less to produce than the previous
• Constant Returns to Scale - doubling inputs doubles output. Increase inputs by n, output
increases by n
• Decreasing Returns to Scale - doubling inputs increases output by less than double. Additional unit costs more to produce than the previous
• This is different from the Law of Diminishing Returns. DRTS applies to output
when all inputs are increased. LDR is based changes to one input, holding
others fixed.
• Constant Returns to Scale - doubling inputs doubles output. Increase inputs by n, output
increases by n
• Decreasing Returns to Scale - doubling inputs increases output by less than double. Additional unit costs more to produce than the previous
• This is different from the Law of Diminishing Returns. DRTS applies to output
when all inputs are increased. LDR is based changes to one input, holding
others fixed.
question
Marginal Rate of Technical Substitution (MRTS)
answer
Start with generic Q = f(K,L)
Multiply inputs by a constant, n. Compare that output, F(nK,nL), to
the initial output multiplied by the same constant, nQ
• IRTS if nQ < F(nK,nL)
• CRTS if nQ = F(nK,nL)
• DRTS if nQ> F(nK,nL)
Multiply inputs by a constant, n. Compare that output, F(nK,nL), to
the initial output multiplied by the same constant, nQ
• IRTS if nQ < F(nK,nL)
• CRTS if nQ = F(nK,nL)
• DRTS if nQ> F(nK,nL)
question
• What happens if you use the same production process and input ratios, but vary the size of inputs?
answer
Decreasing - if a firm grows too large it will become less efficient. Better to
have many small firms (competition).
• Increasing - the bigger the better, at least from an efficiency standpoint.
Better to have fewer, large firms.
• Constant - can support any firm size.
have many small firms (competition).
• Increasing - the bigger the better, at least from an efficiency standpoint.
Better to have fewer, large firms.
• Constant - can support any firm size.
question
Finding Returns to Scale
answer
actual expenses to produce output; explicit costs
• Cost of new tractor, computer, etc.
• Cost of new tractor, computer, etc.
question
Importance of Returns to Scale
answer
cost of next best alternative; implicit costs
• What are you giving up to attend college? Go to class today?
• What are you giving up to attend college? Go to class today?
question
• Accounting costs
answer
accounting costs + opportunity costs
• Note that opportunity costs are often hard to think about, but are important
in decision-making, nevertheless.
• Note that opportunity costs are often hard to think about, but are important
in decision-making, nevertheless.
question
Opportunity costs
answer
expenses already made that cannot be recovered
• These should be ignored when making decisions; too late to matter
• Ex: You bought an app that you thought would help you with your coursework. A
different paid app was released that is even better for your work. What should you do?
• These should be ignored when making decisions; too late to matter
• Ex: You bought an app that you thought would help you with your coursework. A
different paid app was released that is even better for your work. What should you do?
question
Economic costs
answer
• Fixed costs - cannot adjust these in the short run
Variable costs - adjustable in the short run
Total costs - exactly what it sounds like
Tc = VC + FC
Variable costs - adjustable in the short run
Total costs - exactly what it sounds like
Tc = VC + FC
question
Sunk costs:
answer
Marginal cost= Change in cost (q) / Change in q
often considered the most important consideration in economic analysis
Average Total Cost: Cost (q)/ q
always positive bu can rise or fall depending on q
Average Fixed Cost= Fixed cost / q
Average Variable Cost= Variable cost / q
Know the graphical effects of these in the short run
often considered the most important consideration in economic analysis
Average Total Cost: Cost (q)/ q
always positive bu can rise or fall depending on q
Average Fixed Cost= Fixed cost / q
Average Variable Cost= Variable cost / q
Know the graphical effects of these in the short run
question
Total cost , Fixed cost, Variable costs in the short run
answer
we know that MP intersects AP at the the maximum of the AP curve
Not coincidentally, the MC curve intersects the AVC curve at the minimum
of the AVC curve.
MC= w / MP (l)
AVC= w/ AP (l)
Not coincidentally, the MC curve intersects the AVC curve at the minimum
of the AVC curve.
MC= w / MP (l)
AVC= w/ AP (l)
question
Cost Equations
answer
Outside of the short run, firms can adjust all inputs.
• Optimal point is where isoquant line is tangent to isocost line.
• Spending the least amount on inputs to reach a given output.
• Firm's problem is analogous to consumer's problem
• Instead of facing a given budget constraint, firms choose an isocost line (by
choosing inputs).
• Instead of trying to reach the highest indifference curve subject to BC, firms
try to operate on the lowest IL for a desired quantity
• Optimal point is where isoquant line is tangent to isocost line.
• Spending the least amount on inputs to reach a given output.
• Firm's problem is analogous to consumer's problem
• Instead of facing a given budget constraint, firms choose an isocost line (by
choosing inputs).
• Instead of trying to reach the highest indifference curve subject to BC, firms
try to operate on the lowest IL for a desired quantity
question
Important Relationships to do with Costs
answer
This occurs where MRTS =
MP (l) / MP (k) = w / r
• If a firm is cost-minimizing the above can be written as MP (l) / w = MP (k) / r
MP (l) / MP (k) = w / r
• If a firm is cost-minimizing the above can be written as MP (l) / w = MP (k) / r
question
Long run Cost assumptions
answer
• Economies of Scope: C(q1,q2) < or equal to C(q1) + C(q2)
• Diseconomies of Scope:C(q1,q2)> or equal to
C(q1) + C(q2)
• Diseconomies of Scope:C(q1,q2)> or equal to
C(q1) + C(q2)
question
What is the optimal capital-labor ratio for this firm?
answer
• Over time, firms may become better at making their product, causing their
LAC to fall.
• This is different than economies of scale!
• Ex: aircraft contract bids
LAC to fall.
• This is different than economies of scale!
• Ex: aircraft contract bids
question
• Is it possible to reduce costs by producing two different (but related)
goods?
goods?
answer
the marginal rate of substitution of one good for another good.
question
Dynamic Changes in Cost
answer
The equation y = Pb B + Pw W defines all the (B,W) pairs that cost exactly y.
question
The slope of an indifference curve reveals:
answer
The slope of an indifference curve reveals
question
Budget equation
answer
indifference curves are convex at the origin because
question
the marginal rate of substitution of one good for another
answer
Envision a graph with meat on the horizontal axis and vegetables on the vertical axis. A strict vegetarian would have indifference curves that are:
question
the assumption of diminishing marginal rate of substitution
answer
If a consumer prefers basket A to basket B and basket B to basket C, then the consumer also prefers A to C. This assumption is called:
question
horizontal lines
answer
you have an opinion about any possibility combination
question
transitivity
answer
you are no worse off with more
question
completeness
answer
prefer mixture over extremes
question
monotonicity
answer
If prices and income in a two-good society double, what will happen to the budget line?
question
convexity
answer
A consumer has $100 per day to spend on product A, which has a unit price of $7, and product B, which has a unit price of $15. What is the slope of the budget line if good A is on the horizontal axis and good B is on the vertical axis?
question
there will be no effect on the budget line
answer
Sue views hot dogs and hot dog buns as perfect complements in her consumption, and the corners of her indifference curves follow the 45-degree line. Suppose the price of hot dogs is $5 per package (8 hot dogs), the price of buns is $3 per package (8 hot dog buns), and Sue's budget is $48 per month. What is her optimal choice under this scenario?
question
-7/15
answer
satisfaction for consumption is maximized
question
6 hot dogs 6 buns
answer
Monica consumes only goods A and B. Suppose that her marginal utility from consuming good A is equal to 1/Qa, and her marginal utility from consuming good B is 1/Qb. If the price of A is $0.50, the price of B is $4.00, and the Monica's income is $120.00, how much of good A will she purchase?
question
marginal benefit equals marginal cost
answer
Bill currently uses his entire budget to purchase 5 cans of Pepsi and 3 hamburgers per week. The price of Pepsi is $1 per can, the price of a hamburger is $2, Bill's marginal utility from Pepsi is 4, and his marginal utility from hamburgers is 6. Bill could increase his utility by:
question
120
answer
An individual consumes products X and Y and spends $25 per time period. The prices of the two goods are $3 per unit for X and $2 per unit for Y. The consumer in this case has a utility function expressed as:
U(X,Y) = .5XY
a. Express the budget equation mathematically.
b. Determine the values of X and Y that will maximize utility in the consumption of X and Y.
c. Determine the total utility that will be generated per unit of time for this individual.
U(X,Y) = .5XY
a. Express the budget equation mathematically.
b. Determine the values of X and Y that will maximize utility in the consumption of X and Y.
c. Determine the total utility that will be generated per unit of time for this individual.
question
increase pepsi reduce burger
answer
Suppose your utility function for food (F) and clothing (C) is u(F,C) = F + 4C. If you reduce your clothing consumption by 2 units, how much do you have to increase your food consumption in order to maintain the same utility level?
question
.....
answer
Which of the following claims is true at each point along a price-consumption curve?
question
8 units
answer
After a good falls in price, consumers will tend to buy more of the good that has become cheaper
and less of those goods that are now relatively more expensive. This fact is called:
and less of those goods that are now relatively more expensive. This fact is called:
question
utility is maximized and all income is spent
answer
A change in consumption of a good resulting from an increase in purchasing power, with relative prices held constant, is referred to as:
question
substitution effect
answer
A local retailer has decided to carry a well-known brand of shampoo. The marketing department tells them that the quarterly demand by an average man is:
Qd = 3 - 0.25P
and the quarterly demand by an average woman is:
Qd = 4 - 0.5P
The market consists of 10,000 men and 10,000 women. How may bottles of shampoo can they expect to sell if they charge $6 per bottle?
Qd = 3 - 0.25P
and the quarterly demand by an average woman is:
Qd = 4 - 0.5P
The market consists of 10,000 men and 10,000 women. How may bottles of shampoo can they expect to sell if they charge $6 per bottle?
question
income effect
answer
Suppose that the demand for artichokes (Qa) is given as:
Qa = 200 - 4P
Use the information in Scenario 4.2. Suppose that the price of artichokes is increased slightly from $10. The total expenditure by consumers on artichokes will ________ and the number of artichokes sold will ________.
Qa = 200 - 4P
Use the information in Scenario 4.2. Suppose that the price of artichokes is increased slightly from $10. The total expenditure by consumers on artichokes will ________ and the number of artichokes sold will ________.
question
25,000
answer
Recent research estimates that the short-run price elasticity of demand for gasoline in the U.S. is -0.3, and the long-run price elasticity of demand is -1.4. What happens if the government increases the federal gasoline tax?
question
rise, fall
answer
Software companies continually work to develop new features of their products that make it easier for users to interact and share their work. As more of these features are embedded in the software, what happens to the individual demand curve for the software products?
question
increase in short run decrease in long run
answer
When would it be plausible to describe the demand for a product by drawing a straight line, ?
question
demand becomes more elastic due to bandwagon
answer
If your income elasticity of demand for going to the movie theater is 1.5, then
question
only if no important factors other than price affect demand
answer
If the price of Apple's iPhone generates a cross-price elasticity for Samsung's Galaxy of 0.7 then these two products are
If the price of iPhone's generates a cross-price elasticity for Apple Watches of -0.6 then these two products are
If the price of iPhone's generates a cross-price elasticity for Apple Watches of -0.6 then these two products are
question
a 1% increase in income will lead to a 1.5% increase in seeing movies at the theater. Your demand for movies is elastic with respect to income.
answer
A function that indicates the maximum output per unit of time that a firm can produce, for every combination of inputs with a given technology, is called:
question
substitutes compliments
answer
short run is
question
a production function
answer
long run is
question
at least one input is fixed
answer
According to the law of diminishing returns:
question
all variables can be changed
answer
the law of diminishing returns refers to
question
the marginal product of an input will eventually decline.
answer
the marginal product of an input is
question
marginal returns
answer
What describes the graphical relationship between average product and marginal product?
question
the addition to total output due to the addition of the last unit of an input, holding all other inputs constant
answer
You operate a car detailing business with a fixed amount of machinery (capital), but you have recently altered the number of workers that you employ per hour. Three employees can generate an average product of 4 cars per person in each hour, and five employees can generate an average product of 3 cars per person in each hour. What is the marginal product of labor as you increase the labor from three to five employees?
question
Marginal product cuts average product from above, at the maximum point of average product.
answer
Joe owns a coffee house and produces coffee drinks under the production function q = 5KL where q is the number of cups generated per hour, K is the number of coffee machines (capital), and L is the number of employees hired per hour (labor). What is the average product of labor?
Correct!
Correct!
question
1.5 cars
answer
An isoquant:
question
AP=5K
answer
If capital is measured on the vertical axis and labor is measured on the horizontal axis, the slope of an isoquant can be interpreted as the:
question
is a curve that shows all the combinations of inputs that yield the same total output.
answer
The marginal rate of technical substitution is equal to the:
question
rate at which the firm can replace capital with labor without changing the output rate.
answer
A construction company builds roads with machinery (capital, K) and labor (L). If we plot the isoquants for the production function so that labor is on the horizontal axis, then a point on the isoquant with a small MRTS (in absolute value) is associated with high ________ use and low ________ use.
question
marginal product of the inputs
answer
Use the following statements to answer this question.
I. The numerical labels attached to indifference curves are meaningful only in an ordinal way.
II. The numerical labels attached to isoquants are meaningful only in an ordinal way.
I. The numerical labels attached to indifference curves are meaningful only in an ordinal way.
II. The numerical labels attached to isoquants are meaningful only in an ordinal way.
question
labor, capital
answer
Consider a firm facing MRTS = K/(4L) with capital (K) on the vertical axis of the isoquant map. Suppose L=100 hours and K=400 machine hours at the current level of output. How much additional labor is required to maintain output if we reduce capital by one machine hour?
question
I. is true II. is false
answer
A farmer uses M units of machinery and L hours of labor to produce C tons of corn, with the following production function This production function exhibits:
question
one hour
answer
Which of the following production functions exhibits constant returns to scale?
question
increasing returns to scale for all outputs
answer
Does it make sense to consider the returns to scale of a production function in the short run?
question
q= k + l
answer
A firm's total cost function is given by:
TC = 4000 + 5Q + 10Q2
Fill out the following, use ^2 to indicate a squared value and / to indicate division. Put one space on either side of + and - signs.
Total Fixed Cost:
Average Fixed Cost:
Total Variable Cost:
Average Variable Cost:
Average Total Cost:
Marginal Cost:
TC = 4000 + 5Q + 10Q2
Fill out the following, use ^2 to indicate a squared value and / to indicate division. Put one space on either side of + and - signs.
Total Fixed Cost:
Average Fixed Cost:
Total Variable Cost:
Average Variable Cost:
Average Total Cost:
Marginal Cost:
question
no because we cannot change all the production inputs
answer
Farmer Jones bought his farm for $75,000 in 1975. Today the farm is worth $500,000, and the interest rate is 10 percent. ABC Corporation has offered to buy the farm today for $500,000 and XYZ Corporation has offered to buy the farm for $530,000 one year from now. Farmer Jones could earn net profit of $15,000 (over and above all of his expenses) if he farms the land this year. What should he do?
question
4000
4000/q
5q+10q^2
5+10q
4000/q+5+10q
5+20q
4000/q
5q+10q^2
5+10q
4000/q+5+10q
5+20q
answer
Constantine purchased 100 shares of IBM stock several years ago for $150 per share. The price of these shares has fallen to $55 per share. Constantine's investment strategy is "buy low, sell high." Therefore, he will not sell his IBM stock until the price rises above $150 per share. If he sells at a price lower than $150 per share he will have "bought high and sold low." Constantine's decision:
question
sell to ABC corporation
answer
Which of the following is NOT an expression for the cost minimizing combination of inputs?
question
is incorrect because the original price paid for the shares is a sunk cost and should have no bearing on whether the shares should be held or sold.
answer
With its current levels of input use, a firm's MRTS is 3 (when capital is on the vertical axis and labor is on the horizontal axis). This implies:
question
anything without wage and rental rate
answer
A firm employs 100 workers at a wage rate of $10 per hour, and 50 units of capital at a rate of $21 per hour. The marginal product of labor is 3, and the marginal product of capital is 5. The firm:
question
the marginal product of labor is 3 times the marginal product of capital
answer
An isocost line reveals the
question
could reduce the cost of producing its current output level by employing more labor and less capital.
answer
Bubba Burgers has discovered there are economies of scope available to the restaurant. Which is most likely to be a response to this discovery?
question
input combinations that can be purchased for a given total cost.
answer
Use the production function: Q = 4L1/2K1/2.
Refer to Scenario 7.3. Suppose that your firm decides to double its output to 400. To achieve this level of output the firm will have to:
Refer to Scenario 7.3. Suppose that your firm decides to double its output to 400. To achieve this level of output the firm will have to:
question
bubba adds grilled chicken sandwiches
answer
Consider the following statements when answering this question:
I. Whenever a firm's average variable costs are falling as output rises, marginal costs must be falling too.
II. Whenever a firm's average total costs are rising as output rises, average variable costs must be rising too.
I. Whenever a firm's average variable costs are falling as output rises, marginal costs must be falling too.
II. Whenever a firm's average total costs are rising as output rises, average variable costs must be rising too.
question
exactly double its inputs.
answer
When an isocost line is just tangent to an isoquant, we know that:
question
I is false, and II is true.
answer
Suppose our firm produces chartered business flights with capital (planes) and labor (pilots) in fixed proportion (i.e., one pilot for each plane). If the wage rate paid to the pilots increases relative to the rental rate of capital for the airplanes, then:
question
output is being produced at minimum cost
answer
Acme Container Corporation produces egg cartons that are sold to egg distributors. Acme has estimated this production function for its egg carton division:
Q = 25L0.6K0.4,
where in one thousand carton lots, in person hours, and in machine hours. Acme currently pays a wage of $10 per hour and considers the relevant rental price for capital to be $25 per hour. Determine the optimal capital-labor ratio that Acme should use in the egg carton division.
Q = 25L0.6K0.4,
where in one thousand carton lots, in person hours, and in machine hours. Acme currently pays a wage of $10 per hour and considers the relevant rental price for capital to be $25 per hour. Determine the optimal capital-labor ratio that Acme should use in the egg carton division.
question
the optimal capital-labor ratio remains the same
answer
Three Guys From Nowhere's short-run cost function is:
LaTeX: C\left(q,K\right)=\frac{0.5q^2}{K}+0.25K C ( q , K ) = 0.5 q 2 K + 0.25 K
where q is the number of pizzas produced and K is the number of ovens. Currently, TGFN's is leasing 4 ovens in the short run.
Calculate the average total cost of producing 10 pizzas
The manager is considering leasing 5 additional ovens. If TGFN's adds 5 more ovens, what is the average total cost of producing 10 pizzas?
LaTeX: C\left(q,K\right)=\frac{0.5q^2}{K}+0.25K C ( q , K ) = 0.5 q 2 K + 0.25 K
where q is the number of pizzas produced and K is the number of ovens. Currently, TGFN's is leasing 4 ovens in the short run.
Calculate the average total cost of producing 10 pizzas
The manager is considering leasing 5 additional ovens. If TGFN's adds 5 more ovens, what is the average total cost of producing 10 pizzas?
question
14/15
answer
An effluent fee is imposed on a steel firm to reduce the amount of waste materials that it dumps in a river. Use the following two statements to answer this question:
I. The more easily factors of production can be substituted for one another (for example, capital can be used to reduce waste water), the more effective the fee will be in reducing effluent.
II. The greater the degree of substitution of capital for waste water, the less the firm will have to pay in effluent fees.
I. The more easily factors of production can be substituted for one another (for example, capital can be used to reduce waste water), the more effective the fee will be in reducing effluent.
II. The greater the degree of substitution of capital for waste water, the less the firm will have to pay in effluent fees.
question
1.35 .78
answer
Marvel Studios uses 15 green screens to produce 10 units of output per period. Marvel's short-run cost function is:
LaTeX: C\left(q,K\right)=\frac{15q^2}{K}+12K C ( q , K ) = 15 q 2 K + 12 K
where q is the number of units produced and K is the number of green screens Marvel leases. Marvel's long-run cost function is: LTC(q) = 26.8q.
If Marvel used 4 fewer green screens in the short-run, would short-run average total costs increase or decrease?
Does Marvel's long-run cost curve exhibit increasing, constant, or decreasing returns to scale? (one word)
LaTeX: C\left(q,K\right)=\frac{15q^2}{K}+12K C ( q , K ) = 15 q 2 K + 12 K
where q is the number of units produced and K is the number of green screens Marvel leases. Marvel's long-run cost function is: LTC(q) = 26.8q.
If Marvel used 4 fewer green screens in the short-run, would short-run average total costs increase or decrease?
Does Marvel's long-run cost curve exhibit increasing, constant, or decreasing returns to scale? (one word)
question
both true
answer
Crash Industries makes Wumpa Pies with the production function LaTeX: K^{0.5}L^{0.5} K 0.5 L 0.5 . The wage rate is 16 and the rental rate of capital is 4.
A) Suppose that the manager wants to produce 144 pies. How much K and L should be employed to minimize costs?
K =
, L =
B ) What is the cost of producing 144 pies?
C) Suppose that the manager is faced with the same problem as in (A) except that he has a fixed amount of K. In fact, K = 64. How much L should be employed to minimize costs? L =
16
D) and what is the total cost?
A) Suppose that the manager wants to produce 144 pies. How much K and L should be employed to minimize costs?
K =
, L =
B ) What is the cost of producing 144 pies?
C) Suppose that the manager is faced with the same problem as in (A) except that he has a fixed amount of K. In fact, K = 64. How much L should be employed to minimize costs? L =
16
D) and what is the total cost?
question
decrease constant
answer
undefined
question
28,72, 2304, 324, 5440
answer
undefined