Exam 7: Production Functions

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If more and more labor is employed while keeping all other inputs constant,the marginal physical productivity of labor will eventually

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A production function may exhibit

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The production function q=k.6l.5q = k ^ { .6 } l ^ { .5 } exhibits

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Suppose the production function for good q is given by q=3k+2lq = 3 k + 2 l where k and l are capital and labor inputs.Consider three statements about this function: I.The function exhibits constant returns to scale. II.The function exhibits diminishing marginal productivities to all inputs. III.The function has a constant rate of technical substitution. Which of these statements is true?

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The marginal physical productivity of labor is

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Which of the following production functions exhibits a constant elasticity of substitution?

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The marginal rate of technical substitution (RTS)of labor for capital measures

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Consider the production function q=(kα+lα)βq = \left( k ^ { \alpha } + l ^ { \alpha} \right) ^ { \beta } . For this function to have diminishing marginal productivities and increasing returns to scale,it must be the case that

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The production function q=klq = \sqrt { k l }

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For a fixed proportion production function,at the vertex of any of the (L-shaped)isoquants the marginal productivity of either input is

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The average productivity of labor reaches its maximum

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Graphically,the average productivity of labor is illustrated by

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The marginal physical productivity of labor is defined as

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A firm's isoquant shows

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