Let the production function be Q = 4* K1/4 L1/4 assume that both factors are variable. (a) Derive the contingent demand functions for K and L (b) Substitute the contingent demand functions in the total cost that you minimized in part a) to obtain the total cost function. (c) Find the amount of K and L necessary to produce Q=8 when v=16 and w=1 (with minimal possible cost). (d) Find the average and marginal cost functions.
Let the production function be Q = 4* K1/4 L1/4 assume that both factors are variable. (a) Derive the contingent demand functions for K and L (b) Substitute the contingent demand functions in the total cost that you minimized in part a) to obtain the total cost function. (c) Find the amount of K and L necessary to produce Q=8 when v=16 and w=1 (with minimal possible cost). (d) Find the average and marginal cost functions.
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter9: Applications Of Cost Theory
Section: Chapter Questions
Problem 1.6CE
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Question
Let the production function be Q = 4* K1/4 L1/4 assume that both factors are variable.
-
(a) Derive the contingent demand functions for K and L
-
(b) Substitute the contingent demand functions in the total cost that you minimized in part a) to obtain the total cost function.
-
(c) Find the amount of K and L necessary to produce Q=8 when v=16 and w=1 (with minimal possible cost).
-
(d) Find the average and marginal cost functions.
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