Exam 6: Inputs and Production Functions

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Suppose a production function has only one input, labor. What can you tell about the slope of the production function, assuming output is on the y-axis and labor is on the x-axis, if production exhibits constant marginal returns to labor?

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If marginal product is greater than average product

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For a simple graph of a production function with Q on the y-axis and L on the x-axis, which of the following statements is true?

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Technically inefficient points are

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The average productivity of the fifth worker is

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Which of the following is true?

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Suppose the production function can be expressed as Q=2KLQ = 2 \sqrt { K L } . Which of the following combinations of capital and labor (K,L)( K , L ) lie on the same isoquant?

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Returns to scale refers to

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The marginal productivity of the third worker is

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Marginal productivity is maximized with the ___________ worker.

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If capital cannot easily be substituted for labor, then the elasticity of substitution is

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A labor requirements function represents

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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 marginal rate of technical substitution of labor for capital is defined as

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When a production function can be expressed as Q=(aK)(bL)Q = ( a K ) ( b L ) , the relationship between capital and labor in the production function is that

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For the production function Q=20KLQ = 20 \sqrt { K L } , the equation for a typical isoquant is

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A production manager notices that when she triples all of her inputs simultaneously, her output doubles. The production manager determines that for this range of output, the production function exhibits

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Holding capital constant at 3 units, the marginal productivity of the second laborer is

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Consider the production function Q=[c+aLσ1σ+bKσ1σ]sσ1Q = \left[ c + a L ^ { \frac { \sigma - 1 } { \sigma } } + b K ^ { \frac { \sigma - 1 } { \sigma } } \right] ^ { \frac { s } { \sigma - 1 } } where CC is some constant different than zero. This production function exhibits

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The MRTSL,KMR T S_{L ,K} =

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