Question

Suppose that all firms in a constant-cost industry have the following long-run cost curve: C(q) = Aq? + Bq+C where A = 4, B =
0 0
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Answer #1

MC = 2Aq + B

So, individual firm supply curve:

q = (P-B)/2A

Market supply curve , Qs = 90q

Qs = 45(P-B)/A

Qs = 45(P-100)/4

Qs = 11.25(P-100)

At eqm, Qd = Qs

11.25(P-100)= 1120-2P

13.25P = 2245

P*= 169.43

Q*= 11.25*69.43= 781

each Firm output = 781/90= 8.68

Then firm profit = 8.68*169.43 - ( 4*8.68*8.68 +100*8.68+167)

= 1470.5 - 1336.37

= 134.13

= $ 134.13 : permit price = profit of firm in short run

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