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# Selling prices

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A firm has the following short run demand and cost schedule for a particular product

Q = 200 - 5P
TC = 400 + 4Q

a. At what price should this firm sell its product?
b. If this is a monopolistically competitive firm, what do you think would start to happen in the long run? Explain

c. Suppose in the long run, the demand shifted to Q = 100 - 5P. What should the firm do? Explain.

https://brainmass.com/economics/short-and-long-run-cost-functions/selling-prices-94556

#### Solution Preview

a. At what price should this firm sell its product?
The demand curve can be written into:
P = 40 - 0.2Q
Then total revenue is TR = P*Q = (40 - 0.2Q)Q = 40Q - 0.2Q^2
The marginal revenue is MR = dTR/dQ = 40 - 0.4Q
From the total cost function, we know marginal cost is MC = dTC /dQ = 4
The first order condition for the firm to max its profit is: MR = MC, ...

#### Solution Summary

Selling prices are estimated.

\$2.19