A perfectly competitive firm has total revenue and total cost curves given by:

TR = 100Q
TC = 5,000 + 2Q + 0.2 Q2

a. Find the profit-maximizing output for this firm.
b. What profit does the firm make?


a. MR = 100
MC = 2 + .4Q
100 = 2 + .4Q
Q* = 245
b. Profit = 100 ? 245 - 5,000 - 2(245 ) - 0.2 (245 )2 = $7,005

Economics

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