Question

The daily cost of producing pizza in New Haven is C(Q) = 4Q + (Q2/40); the marginal cost is MC = 4 + (Q/20). There are no avoidable fixed costs. What is the market supply function if there are 10 firms making pizza? If 20 firms are making pizza? What is the market supply curve under free entry? [HINT: As the first step, find the AC and show that AC is at its minimum when Q = 0.]

Answer 1

`q_(10)` = 200P - 800

`q_(20)` = 400P - 1600

Step-by-step explanation:

let the supply function be : P = MC

P = 4 + Q/20

therefore Q = 20P - 80 ( supply function )

For 10 firms

Q = 10( 20P - 80 ) = 200P - 800

for 20 firms

Q = 20(20P - 80 ) = 400P - 1600

next determine market supply curve under free entry

AC = 4 + Q/40

Hence ; when Q = 0 , AC = 4 and this is for unlimited number of firms