8. (Short-run vs long-run) Consider the following cost minimization problem min(L, K) rK + wL + F subject to q = K^(1/3) L ^(1/3) where F is unavoidable in the short run but avoidable in the long run. (a) Derive the cost functions for the short run and for the long run.

Microeconomics A Contemporary Intro
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ISBN:9781285635101
Author:MCEACHERN
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Chapter7: Production And Cost In The Firm
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4 8. (Short-run vs long-run) Consider the following cost minimization problem min(L, K) rK + wL + F subject to q = K^(1/3) L ^(1/3) where F is unavoidable in the short run but avoidable in the long run. (a) Derive the cost functions for the short run and for the long run. (b) Derive the supply functions for the short run and for the long run.
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