Question

The following table shows the demand curve facing a monopolist who produces at a constant marginal cost of $8.00. Show all work.

TR MR Price Quantity 180 16 14 8 12 12 10 16 20 6 24 4 28 2 32 0 36 8

The firm's profit-maximizing output is ___________ & The corresponding price is $___________________

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Answer #1

TR = P * Q

MR = Change in TR / Change in Q

P Q TR MR
18 0 0
16 4 64 16
14 8 112 12
12 12 144 8
10 16 160 4
8 20 160 0
6 24 144 -4
4 28 112 -8
2 32 64 -12
0 36 0 -16

Setting MR = MC = 8 for profit maximization, we see

profit maximizing output = 12

profit maximizing price = 12

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