Suppose the total cost function for a firm is given by C=qw²/31/3 where w and v are prices of a unit of labor and capital, and q is output (a) Use Shephard's lemma to compute the demand functions for each input I and k (as functions of q, v, w) [Hint: Partially differentiate C with respect to input price]

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter18: The Markets For The Factor Of Production
Section: Chapter Questions
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2. Suppose the total cost function for a firm is given by
C =qw2/31/3
where w and u are prices of a unit of labor and capital, and q is output
(a) Use Shephard's lemma to compute the demand functions for each input 7 and
k (as functions of q, u, w) [Hint: Partially differentiate C with respect to input
price]
Transcribed Image Text:2. Suppose the total cost function for a firm is given by C =qw2/31/3 where w and u are prices of a unit of labor and capital, and q is output (a) Use Shephard's lemma to compute the demand functions for each input 7 and k (as functions of q, u, w) [Hint: Partially differentiate C with respect to input price]
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