Exam 6: Inputs and Production Functions

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Which one of these is false when compared to the relationship between marginal and average product?

(Multiple Choice)
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Let a firm's production function be Q=100(aL+bK)Q = 100 ( a L + b K ) . The production function then becomes Q=500(aL+bK)Q = 500 ( a L + b K ) . Which of the following statements is true?

(Multiple Choice)
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A type of production function that includes linear production functions, fixed-proportions production functions, and Cobb-Douglas production functions as special cases is:

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The Cobb-Douglas production function is given by the general formula Q=ALαKβQ = \mathrm { AL } ^ { \alpha } \mathrm { K } ^ { \beta } and the constant elasticity of substitution is equal to 0 .

(True/False)
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=0 =1 =2 =3 =4 =0 0 0 0 0 0 =1 0 1 2 3 4 =2 0 8 16 24 32 =3 0 27 54 81 108 =4 0 64 128 192 256 -Based on the table above, holding labor constant, what do you notice about the marginal productivity of capital?

(Multiple Choice)
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The law of diminishing marginal returns states that as the use of all inputs increases, the marginal product of the inputs eventually declines.

(True/False)
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For a simple graph of a production function with Q on the y-axis and L on the x-axis, the slope of the production function at a specific point equals the marginal product of labor whereas the average slope of the production function equals the average product of labor.

(True/False)
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Total product hill is:

(Multiple Choice)
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