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budget constraint
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a curve that describes the entire set of consumption bundles a consumer can purchase by spending all income
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feasible bundle
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Any combination of goods on ot below the budget constraint that the consumer has the income to purchase
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infeasible bundle
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Any combination of goods above ot to the right of the budget line that the consumer cannot afford to purchase
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A special Case: of consumer optimally consumers
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Corner solution
Interior Solution
Interior Solution
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Corner solution
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A utility maximizing bundle located at the "corner" of the budget constraints where the consumers purchase only one of two goods
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interior solutions
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A utility maximizing bundle that contains positive quantities of both goods
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income effect
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the change in a consumer's consumption choices that results from a change in the purchasing power of the consumer's income
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normal good
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A good for which consumption rises when income rises
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For normal goods the income effect is . . .
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positive
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inferior good
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A good for which consumption decreases when income rises
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necessity goods
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normal goods with an income elasticity between 0 and 1 rise with income but at a slower rate
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luxury good
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are goods with income elasticity greater than 1
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If good X is normal and good Y is inferior, following a loss of income:
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the new optimal bundle will contain more X and less Y
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substitution effect
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The change in a consumer's consumption that results from a change in the relative prices of two goods
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income effect
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Is the change in a conumer's consumption choices that result from a change in the purchasing power of the consumer's income
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An increase in price or decrease in income leads to
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Demand curve shifts downward
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Some rules for substitution effect
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1. Involve comparisons of bundles that lie on the same indifference curve
2. The direction of the effect on quantity consumed for a given change in
3. If the good's relative price falls, the substitution effect causes the consumer to want more of it
4. If the good's relative price rises, the substitution effect causes the consumer to want less of it
2. The direction of the effect on quantity consumed for a given change in
3. If the good's relative price falls, the substitution effect causes the consumer to want more of it
4. If the good's relative price rises, the substitution effect causes the consumer to want less of it
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Some rules for income effects
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1. Involve comparisons of bundles that lie on two different indifference curves
2. The direction of the effect on quantity consumed for a given change in the relative price of the good is ambiguous and depends on whether the good is normal or inferior
3. If the good is normal, than a fall in either its price or the price of the other good will cause the consumer to want more of it. ( A drop in any price, even of another good, increases the effective income of the consumer.) If the good is inferior, then a price drop will cause to want less of it
4. If the good is normal, then a rise in either its price or the price of the other good will cause the consumer to want less of it. If the good is inferior, than a rise in either price will cause the consumer to want more if it
2. The direction of the effect on quantity consumed for a given change in the relative price of the good is ambiguous and depends on whether the good is normal or inferior
3. If the good is normal, than a fall in either its price or the price of the other good will cause the consumer to want more of it. ( A drop in any price, even of another good, increases the effective income of the consumer.) If the good is inferior, then a price drop will cause to want less of it
4. If the good is normal, then a rise in either its price or the price of the other good will cause the consumer to want less of it. If the good is inferior, than a rise in either price will cause the consumer to want more if it
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Engel Curve
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shows the relationship between income and quantity of a good demanded. Whether an increase in come raises or reduces the quantity demanded of a good depends on the type of good
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total effect
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On the quantity demanded of a good in response to a change in its own price can be broken down into two components
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Goods are substitutes if . . .
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A price increase in one leads to an increase in demand for the other, due to consumers switching awaying from the now more expensive good and toward the substitute
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Goods are complements if. . . .
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An increase in one's price causes demand for the other to fall. Complements aregoods that are often consumed together
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A --> A'
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Substitution effect
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A' --> B
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Income effect
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Substitution effect is what the consumers want . . .
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considering prices but not income
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Px/Py
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price ratio
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Marginal Rate of Substitution (MRS) equation
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MUx/ MUy
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Marginal Rate of Substitution
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the ratio of the marginal utility of one good to the marginal utility of another
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What does it mean when ratio of prices = MRS
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...
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production function
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Describes how much output can be made from different combinations of outputs
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Production function
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Q=f(K.L) a function of capital (K) and Labor (L)
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Assumptions for production
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1. Only produce a signle goos
2. Already chosen the goof
3. Goal is to minimize costs
4. Only 2 inputs: K+L
5. Capital is fixed in the short run
6. More inputs make more outputs
7. Production exibits diminsihing marginal returns to labor + capital
8. Firm can buy as much K+L as it wants at fixed prices
9. Firms can issue stock+ borrow
2. Already chosen the goof
3. Goal is to minimize costs
4. Only 2 inputs: K+L
5. Capital is fixed in the short run
6. More inputs make more outputs
7. Production exibits diminsihing marginal returns to labor + capital
8. Firm can buy as much K+L as it wants at fixed prices
9. Firms can issue stock+ borrow
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diminishing marginal product
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Decline in the rate of output (not output itself)
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Short run production
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Capital is fixed
Chose L such that they achieve an output goal at a min. cost.
Chose L such that they achieve an output goal at a min. cost.
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Long run production
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Capital is NOT fixed
Subsitiion between labor & capital can occur
Subsitiion between labor & capital can occur
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Producer Analysis
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Constrained minimization (optimizatin)
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Cost maximization
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Firm produces a specific quanity of an output at min. cost.
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Isoquant
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"some quantity" - combinations of K and L that yield the same output (similar to indifference curves)
Further out from the origin means higher output.
- Can't intersect
- Convex to the origin
Further out from the origin means higher output.
- Can't intersect
- Convex to the origin
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slope of isoquant
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Trade off between the production abilities of K +L
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slope of an isoquant is
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MP (L)/ MP (K)
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Marginal Rate of Technical Solution
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MRTS (L,K)
The negatice of the slope o the isoquant
The negatice of the slope o the isoquant
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Curvature of Isoquants : Relativly surved
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K+L are not close substitutes
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Curvature of Isoquants: Relatively straight
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K+L are close substitutes
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Linear Isoquants
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Imply that inputs are substituted at a constant rate, independent of the input levels employed.
Constant MRTS(LK) and are perfect substitutes
Constant MRTS(LK) and are perfect substitutes
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L-shaped isoquant
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Perfect Complements
- Proportion of cab drive and getting somewhere
- Proportion of cab drive and getting somewhere
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Isocosts
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A line that represents the combinations of inputs that will cost the producer the same amount of money.
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Price of Inputs: W and R
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Wage rate of labor (W) and rental rate on capital (R)
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-W/r
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slope of isocosts
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slope of isocosts
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The cost consequences of trading one unit of capital for another unit of labor
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What do the slopes of Isocosts look like?
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All have the same slope higher costs isocosts further out from origin
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Producers Problem
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Producers Q (with line over it) is
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Return to scale
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Changes in the amount of Q in response to a proportional change in K+L
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Return to scale: constant
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Output changes by the same proportion
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return to scale: increasing
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Output changes by more proportinally
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Return to scale decreasing
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Output changes by less proportinally
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Total Factor Productivity (TFP)
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Growth that can change production so thay more output is made w/ same level of outputs (positive technical change)
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Accounting costs
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direct cost of operating a business
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opportunity costs
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cost of the next best option
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what is the formula for total cost
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fixed cost (capital) + variable cost (labor driven)
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sunk cost
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Costs that once they are paid, cannot be recovered
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sunk cost fallacy
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we let sunk costs impact decisions
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fixed
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Don't vary w/ output (more capital)
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Variable
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vary w. output (more labor)
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Why in the long run are all costs variable?
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We assume in the long run the company will be able to make adjustments
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ATC (Average Total Cost)
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The total cost per unit of output
TC / q
q = level of output
TC / q
q = level of output
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AFC (Average Fixed Cost)
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The fixed cost per unit of output
FC / q
q = level of output
FC / q
q = level of output
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AFC falls when
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output is increased
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AVC (Average Variable Cost) Formula
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AVC = VC / Q
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ATC and AVC are what shape?
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U shaped
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AFC is always
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falling
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Marginal cost interests ATC, AFC and AVC at what point ?
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Each of their lowest points
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Marginal Cost (MC)
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An additional cost of producing the next unit of output
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When MC < ATC(avc), ATC is
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FALLING, if we produce one more unit of Q
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When MC > ATC (AVC)
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ATC will increase if you produce more of unit Q
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MC= ATC (AVC)
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ATC(AVC) is at the minimum
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Will costs be hgiher in the SR or LR?
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Lower because costs in the SR are fixed. You can make adjustments as needed
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In the Long run (LR) you have flexibility. . .
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...
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Economies of Scale
Economies
Economies
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LR TC rises at a slower rate than output rises
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diseconomies of scale
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long-run average total costs rises at a faster rate than output rises
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constant economies of scale
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LR TC rises at the sam rate
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What do the utility and indifference curve describe?
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the budget constraint
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What does the budget constraint line describe?
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Which bundle are feasible
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Consumers face a constrained optimization problem meaning ?
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Maximize utility, subject to income and market prices
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Why is tangency key to finding the optimal bundle?
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Because it is where the slope of the indifference curve us equal to the slope of the budget constraint
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If two consumers have different preferences? Will they have the same MRS at their optimal bundles?
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Yes, because they face the same ratio of prices. But that doesn't mean they have the same optimal bundle
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Should a form factor in sunk costs when making decisions?
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No, this is known as sunk cost fallacy
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Income expansion path
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A curve that connects cosumers optimal bundles at each income level
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What are some components of the income expansion path ?
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- Only two goods represented
- When both goods are normal goods, the path is positively sloped
- If the slope of the income path is negative, one of the goods is an inferior good
- Income levels can't be directly observed on the curve becuase both axes represent quantities of goods
- When both goods are normal goods, the path is positively sloped
- If the slope of the income path is negative, one of the goods is an inferior good
- Income levels can't be directly observed on the curve becuase both axes represent quantities of goods
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What does Engel Curve show?
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Shows the relationship between quantity of a good consumed and a cosumer's income
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What does it mean if the engel curve has a positive slope?
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The good is a normal good at that income level
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What does it mean if an engel curve had a negative slope?
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The good is an inferior good at that income level
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The substitution and income effect occur?
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Simultaneously, we never actually observe them separately
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When do we observe the total effect>
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After a price change
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The total effect of a change in a price is ?
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The sum of the subsitution and income effects
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Total Effect Formula
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Substituion effect + income effect
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Isolating the Substitution Effect
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Determine the bundle of goods that would have been chosen at the new price while maintaining utility experienced before the price change
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Isolating the Income Effect
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The change in quantites demanded due to the changes in conumers purchasing power after the change in prices
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substitution effect
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is the difference in quantities between A and A'
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income effect
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Is the difference in quantities between A' and B
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Why does the income effect increase with the amount spent on a good?
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The more you can get from trading off consumption of that good
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When the price of a substitute good increases, we expect consumption of the primary good to . . .?
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increase
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When the price of a complement increase, we expect consumption of the primary good to . . . ?
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decrease
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An increase in the price of a substitute causes the demand curve to shift ?
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Outward
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A decrease in the price of a complement causes the demand curve to shift?
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Outward
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A decrease in price of a substitute cause the demand curve to shift?
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Inward
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An increase in the price of a complement causes the demand curve to shift?
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Inward
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The market demand curve is found by?
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Summing horizontally the indiv. demand curves
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Final goods
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A goof that is bought by a consumer
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Intermediate goods
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A good that is used to produce another good
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Inputs are characterized by ___
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diminishing returns
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cost minimization
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Refers to the firm's goal of producing a specific quantity of output at minimum cost
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isocost "same cost"
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Show all of the input combinations that yield the same costs
C= RK+WL
C= RK+WL
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What is the meaning for the formulas C=RK+WL
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Where C is total cost, R is the "rental rate" of capital, and W is the wage. You then rearange this funvtion . . . .
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The firms problem is one of constrained minimization meaning ?
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Firms minimize cost subject to a given amount of production. Cost minimization is achieved by adjusting the ratio of capital to labor
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Cost minimizing condition?
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Costs are minimized when the marginal product per dollar spent is equalized across inpits