ECO 201 Notes, Fall 2013

Lebanese American University · Microeconomics · 24 pages

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Economics 201: Principles of Microeconomics Amjad Toukan Fall 2013 PROBLEM SET #5 Answers PROBLEM 1: Refer to the table below, which represents the demand schedule and the total cost schedule of a monopolist, to answer the following questions: Quantity Price Total revenue Marginal revenue Total Cost Marginal cost 0 $20 $0 $15 1 18 18 18 21 6 2 16 32 14 27 6 3 14 42 10 33 6 4 12 48 6 39 6 5 10 50 4 45 6 1. What is the profit-maximizing output of the monopolist? 4 2. What price would the monopolist charge at the profit-maximizing output? $12 3. What is marginal revenue at the profit-maximizing output? $6 4. What is marginal cost at the profit -maximizing output? $6 5. What is the monopolist's level of profit at this output? $9 1 6. What is the monopolist's fixed cost? $15 PROBLEM 2: Refer to the figure below, which depicts the short run cost and revenue conditions of a pure monopoly, to answer the following questions: 1. What is the profit-maximizing output of the monopoly? 48 2. What price would the monopoly charge at the profit-maximizing output? $11 3. What is marginal revenue at the profit-maximizing output? $7 4. What is the monopolist’s level of profit at this output? $240 5. What will happen to monopoly profit in the long run? 2 Nothing, it will stay at $240 6. If this monopoly were divided into many small firms producing identical products, how much output would these perfectly competitive firm produce in total, and what price would prevail in the long run? They would produce 60 units of output at a price of $10. PROBLEM 3: Use the figure below to answer the following questions: 1. Assume that the market indicated in this figure is perfectly competitive: a. What is the equilibrium quantity? H b. What is the equilibrium price? C c. Which area represents the consumer surplus at this price? The triangle AGC 2. Assume that the market indicated in this figure is a monopoly: 3 a. What is the monopoly output? F b. What is the monopoly price? B c. Which area represents the consumer surplus at this price? The triangle ABD d. Which area represents the monopoly profit at this price? Rectangle BCED 3. Compared to pricing under perfect competition, which area represents the loss in consumer surplus due to monopoly pricing? Area BDGC 4. Compared to pricing under perfect competition, which area represents the deadweight loss due to monopoly pricing? Area DEG PROBLEM 4: Assume that the short-run cost and demand data given in the following table confront a monopolistic competitor selling a given product and engaged in a given amount of production promotion. Quantity Q Price P Total revenue TR Marginal revenue MR Total cost TC Marginal cost MC 0 $70 $0 - $50 - 1 68 68 68 70 $20 2 66 132 64 80 10 3 64 192 60 85 5 4 62 248 56 90 5 5 60 300 52 100 10 6 58 348 48 115 15 7 56 392 44 136 21 8 54 432 40 164 28 9 52 468 36 200 36 10 50 500 32 245 45 4 1. Compute total revenue, marginal revenue, and marginal cost at each unit of output for this firm. Shown Above 2. In the short run, a. What is the profit-maximizing output of this firm? 9 b. What price will this firm charge at the profit-maximizing output? $52 c. What is the level of profit that this firm earns at this output? $268 3. In the long run, the demand for this firm’s product will __decrease__________, until the price of the product equals ______ATC__________, and total economic profits of the firm are ____Zero________. PROBLEM 5: 5 6 7 PROBLEM 6: 8 9 PROBLEM 7: 10 11 PROBLEM 8: PROBLEM 9: 12 13 14 PROBLEM 10: 15 16 17 PROBLEM 11: 18 19 PROBLEM 12: 20 21 PROBLEM 13: 22 PROBLEM 14: PROBLEM 15: 23 24