Given a firm's cost function C=F(x) = ax +bx+ d: a. Find the firm's Average cost function (A(x) and Marginal cost function M(x). Is C(x) more appropriatc as a long-run or short-run cost function? Explain. Determine whether the Marginal cost funetion is strictly monotonic for a> 0, b>0, and d>9. b. C.

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
Chapter7: Production Economics
Section: Chapter Questions
Problem 5E
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Given a firm's cost function C = F(x) = ax² +bx + d:
Find the firm's Average cost funetion (A(x) and Marginal cost function M(x). O
Is C(x) more appropriatc as a long-run or short-run cost function? Explain.
Determine whether the Marginal cost function is strictly monotonic for a> 0, b>0, and
d> 0.
Does this finction have an inverse for economically meaningful values of x? If yes, find
dx/dM. If not, show/explain what restriction would be necessary for inverse to exist.
a.
b.
c.
d.
Transcribed Image Text:Given a firm's cost function C = F(x) = ax² +bx + d: Find the firm's Average cost funetion (A(x) and Marginal cost function M(x). O Is C(x) more appropriatc as a long-run or short-run cost function? Explain. Determine whether the Marginal cost function is strictly monotonic for a> 0, b>0, and d> 0. Does this finction have an inverse for economically meaningful values of x? If yes, find dx/dM. If not, show/explain what restriction would be necessary for inverse to exist. a. b. c. d.
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