4. For production functions i) q = K0.25L0.25, %3D ii) q = K0.5Lº.5. iii) q = KL a) Assume w= $20 and v = $20, what are the long-run MC and AC equations? b) Tun the MC functions into firmlong-run supply equations. c) Graph the MC and AC functions. Assume that the price of output is $20, explain how the q = q(p = $20) might or might not be a profit-maximizing outcome and whether the

Microeconomic Theory
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Chapter12: The Partial Equilibrium Competitive Model
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Problem 12.9P
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4. For production functions
i) q = K0.25L0.25,
ii) q = K0.5L0.5,
iii) q = KL
a) Assume w= $20 and v = $20, what are the long-run MC and AC equations?
b) Tum the MC functions into firmlong-run supply equations.
c) Graph the MC and AC functions. Assume that the price of output is $20, explain how
the q =
= q(p = $20) might or might not be a profit-maximizing outcome and whether the
SOC's will be satisfied.
Transcribed Image Text:4. For production functions i) q = K0.25L0.25, ii) q = K0.5L0.5, iii) q = KL a) Assume w= $20 and v = $20, what are the long-run MC and AC equations? b) Tum the MC functions into firmlong-run supply equations. c) Graph the MC and AC functions. Assume that the price of output is $20, explain how the q = = q(p = $20) might or might not be a profit-maximizing outcome and whether the SOC's will be satisfied.
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