3. A monopolist faces a demand curve given by Q = 70 P. The monopolist's marginal revenue function is given by MR = 70 - 2Q. a. If the monopolist can produce at constant average and marginal costs of AC = MC = 6, what output level will the monopolist choose in order to maximize profits? What is the price at this output level? What are the monopolist's profits? b. Assume instead that the monopolist has a cost structure where total costs are described by TC = 0.25Q2-5Q+ 300 and marginal cost is given by MC 0.5Q-5. With monopolist facing the same market demand and marginal revenue, what price-quantity combination will be chosen now to maximize profits? What will profits be?

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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3. A monopolist faces a demand curve given by Q = 70 - P. The
monopolist's marginal revenue function is given by MR = 70- 2Q.
a. If the monopolist can produce at constant average and marginal costs
of AC = MC = 6, what output level will the monopolist choose in order
to maximize profits? What is the price at this output level? What are the
monopolist's profits?
b. Assume instead that the monopolist has a cost structure where total
costs are described by TC = 0.25Q2 - 5Q+ 300 and marginal cost is given
by MC=0.50-5. With monopolist facing the same market demand and
marginal revenue, what price-quantity combination will be chosen now to
maximize profits? What will profits be?
Transcribed Image Text:3. A monopolist faces a demand curve given by Q = 70 - P. The monopolist's marginal revenue function is given by MR = 70- 2Q. a. If the monopolist can produce at constant average and marginal costs of AC = MC = 6, what output level will the monopolist choose in order to maximize profits? What is the price at this output level? What are the monopolist's profits? b. Assume instead that the monopolist has a cost structure where total costs are described by TC = 0.25Q2 - 5Q+ 300 and marginal cost is given by MC=0.50-5. With monopolist facing the same market demand and marginal revenue, what price-quantity combination will be chosen now to maximize profits? What will profits be?
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