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Answer to Question #5345 in Microeconomics for hannah

Question #5345
for the following total cost function, identify the firm's supply curve(inverse supply), at the range in which the price is sufficiently high to avoid shutdown. C(Q)=100+50Q+Qsquared.
Expert's answer

MC = C(Q)' = 50 + 2Q
AVC = MC
AVC = (TC – FC)/Q = (Q2 + 50Q + 500 - 500)/Q = Q + 50
50 + Q = 50 + 2Q,
Q = 0
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