Let AC(q) and MC(q) be the average cost function and the marginal cost function respectively. (a) Show that if AC(q) has a critical point at q = q*, then MC(q*) AC(q*). (b) Use the second derivative test to write down the conditions (in terms of MC(q)) for the average cost function AC(q) being minimized at q = q*.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter7: Proudction Costs
Section: Chapter Questions
Problem 17SQ
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Q . B ) 

2. .
Let AC(q) and MC(q) be the average cost function and the marginal cost
function respectively.
(a) Show that if AC(q) has a critical point at q = q*, then MC(q*)
AC(q*).
(b) Use the second derivative test to write down the conditions (in terms of
MC(q)) for the average cost function AC(q) being minimized at q = q*.
Transcribed Image Text:2. . Let AC(q) and MC(q) be the average cost function and the marginal cost function respectively. (a) Show that if AC(q) has a critical point at q = q*, then MC(q*) AC(q*). (b) Use the second derivative test to write down the conditions (in terms of MC(q)) for the average cost function AC(q) being minimized at q = q*.
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