Exercise 5 For each of the production functions below: (1) find the marginal product of labor (i.e., MP₁ = q (L.K)) and check whether it is diminishing, constant or increasing in labor OMPL); (2) find the marginal product of capital (i.e., ƏL ƏL (i.e., visually or computing and interpreting MPK = 9(K)) and check whether it is diminishing, constant or increasing in capital (i.e., visually ак or computing and interpreting labor for capital (i.e., MRTSL,K in labor (i.e., visually or computing and interpreting MRTSLK) ƏL OMPK); and (3) find the marginal rate of technical substitution of ак = MPL) and check whether it is diminishing, constant or increasing MPK

Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter7: Production, Inputs, And Cost: Building Blocks For Supply Analysis
Section: Chapter Questions
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Exercise 5
ƏL
For each of the production functions below: (1) find the marginal product
of labor (i.e., MP₁ = a(LK)) and check whether it is diminishing, constant or increasing in labor
(i.e., visually or computing and interpreting ML); (2) find the marginal product of capital (i.e.,
MPK = 9(K)) and check whether it is diminishing, constant or increasing in capital (i.e., visually
or computing and interpreting MPK); and (3) find the marginal rate of technical substitution of
labor for capital (i.e., MRTSL,K ) and check whether it is diminishing, constant or increasing
MPL
MPK
in labor (i.e., visually or computing and interpreting
a) q(L,K) = 5L0.75 K 0.25
b) q(L,K) = 2L + 4K
c) q(L,K) = 3L + 4K¹/2
d) q(L,K) = 30L +10KL + 20K
ƏMRTSLK
ƏL
Transcribed Image Text:Exercise 5 ƏL For each of the production functions below: (1) find the marginal product of labor (i.e., MP₁ = a(LK)) and check whether it is diminishing, constant or increasing in labor (i.e., visually or computing and interpreting ML); (2) find the marginal product of capital (i.e., MPK = 9(K)) and check whether it is diminishing, constant or increasing in capital (i.e., visually or computing and interpreting MPK); and (3) find the marginal rate of technical substitution of labor for capital (i.e., MRTSL,K ) and check whether it is diminishing, constant or increasing MPL MPK in labor (i.e., visually or computing and interpreting a) q(L,K) = 5L0.75 K 0.25 b) q(L,K) = 2L + 4K c) q(L,K) = 3L + 4K¹/2 d) q(L,K) = 30L +10KL + 20K ƏMRTSLK ƏL
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