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A firm with market power faces the following estimated demand , marginal cost ...

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A firm with market power faces the following estimated demand, marginal cost and total cost functions:

Qd = 81 000 – 200P + 0.4M – 8 000PR

MC = 45 + 0.09Q

TVC = 29Q

TFC = 160 000

where Qd is quantity demanded, P is price, M is income, and PR is the price of a related good.

The firm expects income to be $150 000 and PR to be $10.

The Marginal Revenue Function is     

MR =    –   Q

The profit-maximizing choice of output is  units.

The profit-maximizing price is $ .

The firm's profit is $ .

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