ECO 461 Lecture Notes - Lecture 5: Marginal Revenue, Root Mean Square, Marginal Cost

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2 Nov 2017

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Firms are able to identify consumers as belonging to one of two (or more) groups. Each consumer purchases 1 unit of the product. Suppose that a monopolist serves a market with two distinct groups of consumers, members of which are easily identi able. Further assume a constant marginal cost mc = 2. a draw a graph of each market. Make sure to label all curves and important points. Consider the example above, but now assume that the monopolist is unable to distinguish between the members of the two groups. a find the market inverse demand and marginal revenue functions. Draw a graph of this combined market c find p , q , cs , ps , dwl . Notice that in the example above, the total q sold is the same regardless of with or without p. d. However cs , ps , and dwl .

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3rd degree price discrimination. We have the same market conditions as the previous problem. p1(q1) = 1, 000 â q1 p2(q2) = 500 â q2 This producer also faces a constant marginal cost of 100.

i. If the monopolist is able to effectively conduct 3rd degree price discrimination, what are the optimal price-quantity pairs for each group of consumers?

ii. What is the total CS, PS, and W from both markets?

iii. If the monopolist can only charge a single price, what are the optimal output and price?

iv. How much is sold to each type of consumer?

v. Find the CS, PS, and W for this scenario.

vi. Compare the three welfare measures in the two scenarios.

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3. A monopolist has two sets of customers. The inverse demand for Group 1 is described by P1 = 200 - Q1. For Group 2, the inverse demand is P2 = 100- Q2. The monopolist faces ca constant marginal cost of 40. Let Q be the aggregate quantity demanded.

a. (10 points) Show that the monopolist's total demand if the two markets are treated as one is: Q=0; P =200

Q=200-P;100<P =200
Q=300-2P;0<P = 100
b. (10 points) Show that the monopolist's profit-maximizing price is P = 95 if both groups are to be charged the same price. At this price, how much is sold to members of Group 1 and how much

to members of Group 2? What is the consumer surplus of each group? What are the total profits?

4. Now suppose that the monopolist in problem #3 can separate the two groups and charge separate, profit-maximizing prices to each group.

a. (10 points) What will these prices be? What is consumer surplus? What are the total profits?
b. (10 points) If the total surplus is consumer surplus plus profit, how has price discrimination affected total surplus?

purplehound509

Question 1 (1 point) Question 1 Unsaved In a competitive market the equilibrium price is determined: Question 1 options: at the intersection of the firmâs demand and the market supply curves. at the intersection of the market demand and supply curves. at the intersection of the firmâs demand and marginal cost curves. so as to cover the costs of the potential firms. so as to cover the costs of the firms currently in the industry. Save Question 2 (1 point) Question 2 Unsaved If the perfectly competitive market demand for gym shoes is given by QD = 100 â P and the market supply is given by QS = 10 + 2P, then the equilibrium price and quantity will be: Question 2 options: P = 50 and Q = 50. P = 40 and Q = 90. P = 40 and Q = 60. P = 30 and Q = 70. P = 25 and Q = 75. Save Question 3 (1 point) Question 3 Unsaved A constant-cost industry is one in which: Question 3 options: input prices do not change over time. technology does not change over time. input prices and technology do not change as firms enter or exit the industry. input prices and technology do not change over time. firms have reached the maturity phase of the industryâs life cycle. Save Question 4 (1 point) Question 4 Unsaved At the profit-maximizing level of output for the monopolist: Question 4 options: total revenue is equal to total cost. total costs are minimized. total revenue is maximized. marginal revenue is equal to marginal cost. average revenue is equal to average cost. Save Question 5 (1 point) Question 5 Unsaved Craigâs Red Sea Restaurant is the only restaurant in Columbia, South Carolina, that sells Ethiopian food. The demand for Ethiopian food is given by Q = 25 â P. Craigâs costs are given by TC = 25 + Q + 5Q2. Its maximum monopoly profit is: Question 5 options: â$1. $21. $22. $24. $26. Save Question 6 (1 point) Question 6 Unsaved So long as price exceeds average variable cost, in the model of monopolistic competition, a firm maximizes profits by producing where: Question 6 options: the difference between marginal revenue and marginal cost is maximized. marginal cost equals marginal revenue. marginal revenue equals price. the difference between price and marginal cost is maximized. price equals marginal cost. Save Question 7 (1 point) Question 7 Unsaved If a firm in a monopolistically competitive industry is profit maximizing, it should choose its level of advertising such that the marginal revenue of an additional dollar of advertising: Question 7 options: is equal to the elasticity of its demand curve minus 1. is exactly $1. increases revenues by $1. is equal to 1 plus the elasticity of its demand curve. is equal to the elasticity of its demand curve. Save Question 8 (1 point) Question 8 Unsaved Firms advertise in order to: Question 8 options: build brand loyalty. appeal to the price-sensitive consumers. increase the demand elasticities of their loyal customers. shift the market supply curve to the left. shift the market demand curve to the left. Save Question 9 (1 point) Question 9 Unsaved Firms offer promotions in order to: Question 9 options: build brand loyalty. appeal to the price-sensitive consumers. increase the demand elasticities of their loyal customers. shift the market supply curve to the left. shift the market demand curve to the left. Save Question 10 (1 point) Question 10 Unsaved If the demand increases for the product of a decreasing-cost industry: Question 10 options: short-run price goes up, but long-run price falls. long-run output goes up, but long-run price may go up or down. short-run output goes up, but long-run output may go up or down. long-run output goes up, but short-run price remains constant. long-run price goes up, but short-run price may go up or down. Save Question 11 (1 point) Question 11 Unsaved If the demand increases for the product of an increasing-cost industry: Question 11 options: short-run price goes up, but long-run price falls. long-run output goes up, but long-run price may go up or down. short-run output goes up, but long-run output may go up or down. long-run output goes up, but short-run price remains constant. short-run price goes up, and long-run price goes up. Save Question 12 (1 point) Question 12 Unsaved When Pan United Airlines gives a $400 fare discount to persons with student IDs, they are practicing: Question 12 options: first-degree price discrimination. second-degree price discrimination. third-degree price discrimination. markup pricing. tying. Save Question 13 (1 point) Question 13 Unsaved When a utility charges homeowners less than big industrial users, it is practicing: Question 13 options: first-degree price discrimination. fourth-degree price discrimination. third-degree price discrimination. markup pricing. tying. Save Question 14 (1 point) Question 14 Unsaved Cereal manufacturersâ use of coupons can be partially explained by: Question 14 options: first-degree price discrimination. second-degree price discrimination. third-degree price discrimination. markup pricing. tying. Save Question 15 (1 point) Question 15 Unsaved If a firm supplies separable markets with price elasticities h1 and h2, it should set prices P1 and P2 so that: Question 15 options: P1h1 = P2h2. P1 /h1 = P2 /h2. P1(1 + 1/h1) = P2 (1 + 1/h2). P1/(1 â 1 /h1) = P2 / (1 â 1/h2). P1 = 1 â 1/h1 and P2 = 1 â 1/h2. Save Question 16 (1 point) Question 16 Unsaved If a firm supplies separable markets with price elasticities h1 = â3 and h2 = â2, it should set prices P1 and P2 so that: Question 16 options: P1 = P2. 3P1 = 2P2. 2P1 = 3P2. 2/3P1 = 1/2P2. 2P1 = 2/3P2. Save Question 17 (1 point) Question 17 Unsaved Women are often charged more than men for haircuts performed by the same haircutter. This is not considered price discrimination because: Question 17 options: women receive more consumer surplus from haircuts than men receive. haircutters claim to spend more time on womenâs hair, raising the cost of the haircut to the firm. firms make up the extra cost to consumers by giving women free samples of products. men receive more consumer surplus from haircuts than women receive. women have a lower price elasticity of demand for haircuts. Save Question 18 (1 point) Question 18 Unsaved If price is above the average variable cost but below the average total cost of a representative firm in a competitive industry: Question 18 options: there will be entry to the industry over time. there will be exit from the industry over time. the firms in the industry are just earning a normal rate of return. the firms in the industry are earning a supranormal rate of return. the industry is in long-run equilibrium. Save Question 19 (1 point) Question 19 Unsaved Joeâs T-shirts has costs given by TC = $100 + 3Q, where Q is the number of shirts. If Joe charges $5 each, the percentage markup for 100 shirts is: Question 19 options: 20%. 25%. 33%. 50%. 67%. Save Question 20 (1 point) Question 20 Unsaved In the model of monopolistic competition, there can be short-run: Question 20 options: losses or profits, but there must be profits in long-run equilibrium. profits, but there must be losses in long-run equilibrium. losses or profits, but there must be losses in long-run equilibrium. losses or profits, but there must be neither profits nor losses in long-run equilibrium. losses, but there must be profits in long-run equilibrium.

ECO 461 Lecture Notes - Lecture 5: Marginal Revenue, Root Mean Square, Marginal Cost

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