Consider a firm whose production function is f(L,K)=ALaKb. Denote by APL(L,K)=f(L,K)/L the so-called average product of labor (here f is the production function of the firm). For which values of A, L,K, a, and b is the Average Product of Labor for this company equal to the Marginal Product of Labor? a=1 and any values of b, L, and K. a+b>1, a<1, and any values of b, L, and K. a=1/2, b=1/2, L=1, and K=3. a+b<1, a>0, b>0, and any values of L and K. a+b=1, b>0, and any values of L and K.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter7: Production Economics
Section: Chapter Questions
Problem 5E
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Consider a firm whose production function is f(L,K)=ALaKb. Denote by APL(L,K)=f(L,K)/L the so-called average product of labor (here f is the production function of the firm). For which values of A, L,K, a, and b is the Average Product of Labor for this company equal to the Marginal Product of Labor?

a=1 and any values of b, L, and K.

a+b>1, a<1, and any values of b, L, and K.

a=1/2, b=1/2, L=1, and K=3.

a+b<1, a>0, b>0, and any values of L and K.

a+b=1, b>0, and any values of L and K.

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