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4. The total cost function of a firm is TC = 10+ 2Q-0.2Q2+0.01Q3. The price of...

4. The total cost function of a firm is TC = 10+ 2Q-0.2Q2+0.01Q3. The price of the output is $6.

a) What is the marginal cost function of the firm?

b) What are the total and total variable cost functions and the average total cost function of the firm?

c) What are the fixed costs of the firm?

d) What is the profit maximizing rate of output? What are the profits? How do you know the rate of output maximizes profits instead of minimizes profits?

e) What is the lowest price for which the firm will produce in the short run? The shutdown point is the minimum point of the AVC.

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