Microeconomics, Student Value Edition Plus MyLab Economics with Pearson eText -- Access Card Package (9th Edition) (Pearson Series in Economics)
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Chapter 8, Problem 11E
To determine

Identify the maximizing profit, level of output, and producer surplus of the firm.

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The market for paperback detective novels is perfectly competitive. Market Demand is given by Q=393-7P. Market Supply is given by Q=3P-9. Suppose 55 units are bought to the market. Consider the Marginal Cost of production for these 55 units. What is the maximum Marginal Cost of production of these 55 units? Enter a number only, do not include the $ sign. Hint: 55 doesn't have to be the market quantity.
A competitive firm has a total cost function: TC = 20 + 50q − 6q2 + q3  and a marginal cost function MC = 50 − 12q + 3q2. (a) If the market price is P = $230 per unit, the firm will supply 10 units of the good. Calculate: (i) the profit (ii) the producer's surplus (b) Assume that the market price is P = $50 per unit. Find (i) the level of output supplied by the firm (ii) the firm's profit (use a minus before your answer if the firm incurred a loss) (c) Calculate the range of prices for which the firm will find it optimal to shut down.
A firm faces the market demand curve: P=90-Q/4 where P = price and Q = output The firm has the total cost function: TC =1/4Q^2 -6Q+40 (a) Write out the firm's profit function in terms of output (Hint: rewrite the demand curve with price as a function of output).
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