Let F be a function of two variables, defined by F(K, L) = 2 In K + 5 In L. (a) Find RLK= F₁'(K, L) / F₂'(K, L), the marginal rate of substitution of L for K. (b) Find OLK ElRK (L / K), the elasticity of substitution between L and K along a level curve for F. RLK = OLK = = (Simplify your answer.)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.11P
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Let F be a function of two variables, defined by F(K, L) = 2 In K + 5 In L.
(a) Find RLK= F₁'(K, L) / F₂'(K, L), the marginal rate of substitution of L for K.
(b) Find
OLK ElRK (L / K), the elasticity of substitution between L and K along a level curve for F.
RLK
=
OLK =
=
(Simplify your answer.)
Transcribed Image Text:Let F be a function of two variables, defined by F(K, L) = 2 In K + 5 In L. (a) Find RLK= F₁'(K, L) / F₂'(K, L), the marginal rate of substitution of L for K. (b) Find OLK ElRK (L / K), the elasticity of substitution between L and K along a level curve for F. RLK = OLK = = (Simplify your answer.)
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