question
A production function can include many inputs. Which of the following are the most commonly used inputs?
answer
Capital and Labor
question
The ________ run is a period of time during which at least one factor of production is fixed.
answer
short
question
If, in the short run, capital is fixed and equal to K = 2A, what is the short-run production function?
answer
Q = f(L) = F(K*, L)
question
If 15 workers produce 180 cars per day, what is the average product of labor (APL)?
answer
APL = Q/L
=180/15
=12
=180/15
=12
question
In a production function, the input that refers to machinery is called
answer
capital
question
Which of the following describes the maximum output that can be produced with a fixed set of inputs?
answer
- Q = F{K,L}, where K is capital and L is labor
- Total product
-Production function
- Total product
-Production function
question
Marginal Product of Capital (MPk) is given by:
answer
MPk = ΔQ/ΔK
question
The ________ run is a period of time during which a manager can change all factors of production.
answer
long
question
The short-run production function is generally expressed as a function of which of the following inputs?
answer
labor only
question
Jack operates a small, farm-to-table, organic rice packaging plant. Jack hired another employee and saw output fall from 300 to 297 boxes of rice per day. What is this an example of?
answer
Negative marginal returns
question
What is a scheme used by managers to ensure maximum worker effort?
answer
incentive structures
question
Assume that each unit of labor costs $500. If a worker's marginal product of labor (MPL) equals 115 and the firm sells its product for $6.00, the value of the additional output exceeds the cost of hiring the worker by $___
answer
190
question
If the cost of each additional unit of labor is w, a firm will employ additional workers until _____________________ in the range of diminishing marginal product
answer
VMPL= w
question
The MPL of the 5th worker is 9 units, the MPL of the 6th worker is 7 units and the MPL of the 7th worker is 4 units. This is an example of which of the following?
answer
decreasing marginal returns
question
In the production process, the manager must do which of the following?
answer
-Establish the correct level of inputs
-Ensure the firm operates on the production function
-Ensure the firm operates on the production function
question
The value of the output produced by the last unit of a particular input is called
answer
value marginal product.
question
The downward-sloping portion of the VMPL defines the demand for __________ by a profit maximizing firm. It slopes downward due to ___________.
answer
labor; diminishing marginal returns
question
In a linear production function, inputs are
answer
perfect substitutes.
question
When each additional unit of an input increases total output by more than did the previous unit, the firm is experiencing
answer
increasing marginal returns.
question
What is another name for the Leontief production function?
answer
Fixed proportions production function
question
Which of the following is a Cobb-Douglas production function?
answer
: Q = F(K,L) = K^α*L^β
: Q = F(K,L) = K^0.25*L^0.75
: Q = F(K,L) = K^0.25*L^0.75
question
What is the marginal product of capital (MPK) for the following linear production function?
Q = F(K,L) = αK + βL
Q = F(K,L) = αK + βL
answer
α
question
What is the marginal product of capital (MPK) for the following Cobb-Douglas production function?
Q = F(K, L) = K^αL^β
Q = F(K, L) = K^αL^β
answer
αK^(α-1)*L^β
question
Suppose the linear production function for a firm is given by:Q = F(K,L,) = 3K + 2L.If the firm employs 3 machines and 5 workers, output is equal to
answer
19
question
A firm that always employs two workers for each unit of capital follows which type of production function?
answer
Leontief
question
A production function that assumes that inputs are relatively substitutable is called a ______.
answer
Cobb-Douglas production function
question
What is the marginal product of labor (MPL) for the following linear production function?
Q = F(K,L) = αK + βL
Q = F(K,L) = αK + βL
answer
β
question
What is the analytical tool that defines a combination of inputs that yields the same output?
answer
Isoquant
question
What is the marginal product of labor (MPL) for the following Cobb-Douglas production function?
Q = F(K, L) = K^α*L^β
Q = F(K, L) = K^α*L^β
answer
βK^α*L^(β-1)
question
Suppose the linear production function of a firm is given by Q = F(K, L) = aK + bL, where a and b are constants. Suppose it takes workers (L) 4 hours to produce what a machine (K) can make in 1 hour. Which of the following equations correctly states the production function of the firm?
Multiple choice question.
Multiple choice question.
answer
Q = 4K +L
question
What is the term given to the ratio of the marginal products of labor and capital?
answer
Marginal rate of technical substitution
question
The Leontief production function implies that isoquants are what shape?
answer
L-shaped
question
What must be true about combinations of labor and capital along a given isoquant?
answer
They all must produce the same amount of output
question
Using calculus, what is the marginal product of an input in the following production function?
Q = F(K, L) = K^α*L^β
Q = F(K, L) = K^α*L^β
answer
The partial derivative with respect to the input
question
Which of the following production functions imply isoquants that have a diminishing marginal rate of technical substitution?
answer
Cobb-Douglas
question
Which of the following represents an isocost line?
answer
C = wL + rK
question
Which of the following describes the rate at which labor and capital can be substituted for each other?
answer
Marginal rate of technical substitution
question
For a linear production function, Q = αK + βL, what is the marginal rate of technical substitution (MRTS)?
answer
β/α
question
According to the law of diminishing marginal rate of technical substitution, as a producer uses __________ of an input, ___________ of the other input must be used to achieve the same level of output.
answer
less; more
question
A line that represents the combinations of inputs that will cost the producer the same amount of money is called a(n)_____.
answer
isocost line
question
The marginal rate of technical substitution between labor and capital is
answer
-the rate at which labor and capital can be substituted for each other.
-the absolute value of the slope of the isoquant.
: MPL/MPK
-the absolute value of the slope of the isoquant.
: MPL/MPK
question
When the price of labor rises, firms have a tendency to use
answer
less labor and more capital.
question
The minimum possible cost of producing each output level with fixed and variable factors is given by
answer
the short-run cost function.
question
Suppose capital, K, is on the vertical axis and labor, L, is on the horizontal axis in a graph. Which of the following would be true if the price of labor, w, increased?
answer
The isocost line rotates clockwise
question
Fixed cost (FC) equals
answer
TC-VC
question
The expression, VC(Q)/Q, defines
answer
average variable cost
question
Suppose a firm produces 1000 units of a good. If fixed costs (FC) equal $2500 and variable costs (VC) equal $3700 at that output level, average total cost (ATC) of each unit is equal to $
answer
6.20
question
Where does the marginal cost (MC) curve intersect the average variable cost (AVC) curve?
answer
At minimum AVC.
question
The expression, FC/Q, defines
answer
average fixed cost
question
Suppose that increasing output from 1000 units to 1100 units increases costs from $5,500 to $7,000. The marginal cost of producing each of the additional units is $
answer
MC= dTC/dQ
=(7000-5500)/(1100-1000)
= 15
=(7000-5500)/(1100-1000)
= 15
question
Which of the following types of functions is C(Q) = f + aQ + bQ^2 + cQ^3?
answer
Cubic cost function
question
With respect to the short-run average cost curves, what is true of the long-run average cost curve?
answer
-It lies above no point of the short-run average cost curves.
-It equals short-run average cost when short-run curves use fixed inputs optimally.
-It equals short-run average cost when short-run curves use fixed inputs optimally.
question
When average total cost (ATC) is at its minimum, marginal cost (MC) __________ average total cost (ATC).
answer
equals
question
What happens to average fixed cost (AFC) as output declines?
answer
AFC increases
question
Suppose a firm expands its output and experiences higher long-run average cost. What is this condition called?
answer
Diseconomies of scale
question
In the long run, all costs are _______?
answer
variable
question
As output increases, what happens to the difference between ATC and AVC?
answer
decreases
question
When a firm experiences economies of scale, increasing the size of the operation _________ the minimum average cost.
answer
decreases
question
The multiproduct cost function assumes that all inputs are utilized ________ (efficiently/effectively).
answer
efficiently
question
When C(Q1,0) + C(Q2, 0) > C(Q1, Q2), we say that ______ ____ ________ exist
answer
economies of scope
question
What exists when an increase in the output of one product reduces the marginal cost of a second product?
answer
Cost complementarity
question
Which function defines the cost of producing at least two types of output?
answer
Multiproduct cost function
question
The following Quadratic Multiproduct Cost Function:
C(Q1, Q2) = f + aQ1Q2 + (Q1)^2 + (Q2)^2
exhibits Economies of Scope when
C(Q1, Q2) = f + aQ1Q2 + (Q1)^2 + (Q2)^2
exhibits Economies of Scope when
answer
f - aQ1Q2 >0
question
Suppose it is cheaper for an auto maker to produce hybrid vehicles and diesel SUVs in the same factory than it is to have two separate facilities for each vehicle. What condition exists?
answer
economies of scope