1. For the following production functions, derive the average product of labor APL and the marginal product of labor MPL, and draw them on the same graph. For both examples, show that the MPL is diminishing. (a) f(L,K)=√√L+√K (b) f(L,K)= La KB, where 0 < a, ẞ<1

Microeconomics: Principles & Policy
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Author:William J. Baumol, Alan S. Blinder, John L. Solow
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Chapter7: Production, Inputs, And Cost: Building Blocks For Supply Analysis
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1. For the following production functions, derive the average product of labor APL and
the marginal product of labor MPL, and draw them on the same graph. For both
examples, show that the MPL is diminishing.
(a) f(L,K)=√√L+√K
(b) f(L,K)= La KB, where 0 < a, ẞ<1
Transcribed Image Text:1. For the following production functions, derive the average product of labor APL and the marginal product of labor MPL, and draw them on the same graph. For both examples, show that the MPL is diminishing. (a) f(L,K)=√√L+√K (b) f(L,K)= La KB, where 0 < a, ẞ<1
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