Hershey Park sells tickets at the gate and at local municipal offices to two groups of people. Suppose that the demand function for people who purchase tickets at the gate is QG = 10,000 - 100pG and that the demand function for people who purchase tickets at municipal offices is QG = 9,000 - 100PG. The marginal cost of each patron is 5. a) If Hershey Park cannot successfully segment the two markets, what are the profit- maximizing price and quantity? What is its maximum possible profit? b) If the people who purchase tickets at one location would never consider purchasing them at the other and Hershey Park can successfully price discriminate, what are the profit-maximizing price and quantity? What is its maximum possible profit?

Hershey Park sells tickets at the gate and at local municipal offices to two groups of people. Suppose that the demand function for people who purchase tickets at the gate is QG = 10,000 - 100pG and that the demand function for people who purchase tickets at municipal offices is QG = 9,000 - 100PG. The marginal cost of each patron is 5. a) If Hershey Park cannot successfully segment the two markets, what are the profit- maximizing price and quantity? What is its maximum possible profit? b) If the people who purchase tickets at one location would never consider purchasing them at the other and Hershey Park can successfully price discriminate, what are the profit-maximizing price and quantity? What is its maximum possible profit?

Economics: Private and Public Choice (MindTap Course List)

16th Edition

ISBN:9781305506725

Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Chapter23: Price-searcher Markets With Low Entry Barriers

Section: Chapter Questions

Problem 7CQ

See similar textbooks

Similar questions

There are two types of consumers in Melbourne: students and non-students. The student population is 10, and each student’s demand of printing paper is Q=1−?, for ?<1.The non-student population is 40, and each non-student’sdemand of printing paper is Q=3−?, for ?<3. Suppose OfficeMax is the only seller of printing paper in Melbourne. Assume zero production cost. Suppose OfficeMax offers a student discount, d, so students only pay d*p and non-students pay the full price, p. What are the profit maximizing price and discount d?
2. A market analysis employed by the "Sad Student Company" reveals that the number of lots of the game named "Handsome Killer: Revenge of the Teacher" ordered by the wholesalers when the game is offered at a price of dollars per lot is given by the formula: p=1500 – 2.5q a) Find the company's total, marginal and average revenues b) Find the price and quantity maximizing the total revenue by first expressing the revenue as a function of price rather than of quantity
There are two movie theaters in the town of Harkinsville: Modern Multiplex (Firm 1) and Galaxy (Firm 2). The demands for each firm are: Q1 = 125 – 3.5P1 + 2P2 and Q2 = 125 – 3.5P2 + 2P1, where quantities are measured in hundreds of moviegoers. Costs per customer are: $4 for Firm 1 and $3 for Firm 2. Instructions: Use no decimals. Use the average cost to calculate monopoly profits. Do not round if values are used to complete other calculations. Use commas (30,000 instead of 30000) Complete the following table. P1 P2 Q1 Q2 Profits F1 Profits F2 Firm 1 colludes, Firm 2 cheats w/ QDC 2,824 Firm 1 colludes, Firm 2 cheats w/ QBRF
There are two movie theaters in the town of Harkinsville: Modern Multiplex (Firm 1) and Galaxy (Firm 2). The demands for each firm are: Q1 = 125 – 3.5P1 + 2P2 and Q2 = 125 – 3.5P2 + 2P1, where quantities are measured in hundreds of moviegoers. Costs per customer are: $4 for Firm 1 and $3 for Firm 2. Instructions: Use no decimals. Use the average cost to calculate monopoly profits. Do not round if values are used to complete other calculations. Use commas (30,000 instead of 30000) Complete the following table. P1 P2 Q1 Q2 Profits F1 Profits F2 Duopoly competition 2,059 Collusion 2,360
2.21. Suppose that the market for air travel between Chicago and Dallas is served by just two airlines, United and American. An economist has studied this market and has estimated that the demand curves for round-trip tickets for each airline are as follows: Q=10,000 -100PU +99PA (United's demand) Q=10,000 -100PA +99PU (American's demand) where Pu is the price charged by United, and P4 is the price charged by American. a) Suppose that both American and United charge a price of $300 each for a round-trip ticket between Chicago and Dallas. What is the price elasticity of demand for United flights between Chicago and Dallas? b) What is the market-level price elasticity of demand for air travel between Chicago and Dallas when both airlines charge a price of $300? (Hint: Because United and American are the only two airlines serving the Chicago-Dallas market, what is the equation for the total demand for air travel between Chicago and Dallas, assuming that the airlines charge the same…
3. A firm is considering bidding for the franchise to sell cola and hot dogs at a baseball stadium. It estimates the demand functions for cola and hot dogs respectively as De=20-4pc-PH DH = 15-Pc-5PH where De is demand for cola in thousands (of cans), DH is demand for hot dogs in thousands, pc is the price of a can of cola in dollars, and PH is the price of a hot dog. The unit cost of supplying a hot dog is constant at $0.1, and the unit cost of a can of cola is likewise constant at $0.5. (a) Find the upper limit to the amount the firm would bid for the franchise.
Consider any market that has a demand curve given by: Qd = 240 - 2P. Where Qd is the total quantity demanded in the market, given in millions of units and P is the market price, calculated in monetary units. Imagine that there are 2 Cournot oligopolists operating in this market with Cmg = CVme = 15 and fixed monthly costs equal to 1,400. About this market, ask yourself: a) What is the profit of each of the oligopolists? b) Imagine that one of the companies managed to implement a process innovation capable of halving its Cmg and CVme, so that they would go from 15 to 7.5. This investment implies an additional monthly expense of $1,800. Discuss the statement: "If this situation occurs, the innovative company will not implement variable cost reduction, as the quantity supplied in the market will increase very little; prices will remain very close to what they are today and its profits will not increase"
Jackistheowneroftheonlylocalbarinasmalltown.Hesellswhiskeyin one-ounce glasses. For simplicity, let’s assume it doesn’t cost Jack anything to run his business. There are two customers, Adam and Burt who are twin brothers. Adam’s demand function is yA = 16 – 2p, and Burt’s demand function is yB = 8 – p (price is measured in dollars and quantity is measured by ounces). Jack knows their demand functions, but the problem is that he cannot tell them apart since they look exactly the same to him. To increase his profits, Jack offers the following two options that his customers can choose from: (1) You can pay $T1 up front and drink as much as you want; or (2) Pay $T2 up front and the price per ounce of whiskey will be $p. 1.a If p = 4, what is the maximal T2 that Jack can charge so that Burt is willing to come to the bar? 1.b What is the maximal T1 that Jack can charge so that Adam will choose the first pricing option?
Dunder Mifflin sells specialty paper to commercial clients in the Scranton area. Some of Dunder Mifflin's clients are seen as 'intensive users' who are price-sensitive, and have demands given by: P = 8 – 0.1Q where Q is the number of reams of paper desired per week. Other clients are less-intensive users of paper and have inverse demands given by: P = 10 – 0.2Q. If Dunder Mifflin's marginal cost of paper is zero, and it attempts to separate more-intensive and less-intensive buyers, what price should Dunder Mifflin set for each group? How much profit do they earn under this system?
2. Jack is the owner of the only local bar in a small town. He sells whiskey in one-ounce glasses. For simplicity, let's assume it doesn't cost Jack anything to run his business. There are two customers, Adam and Burt who are twin brothers. Adam's demand function is ya = 16 – 2p, and Burt's demand function is yg = 8- p (price is measured in dollars and quantity is measured %3D by ounces). Jack knows their demand functions, but the problem is that he cannot tell them apart since they look exactly the same to him. To increase his profits, Jack offers the following two options that his customers can choose from: (1) You can pay $T1 up front and drink as much as you want; or (2) Pay $T2 up front and the price per ounce of whiskey will be $p. 2.a If p = 4, what is the maximal T2 that Jack can charge so that Burt is willing to come to the bar? 2.b What is the maximal T, that Jack can charge so that Adam will choose the first pricing option?
10. The platypus is a shy and secretive animal that does not breed well in captivity. But two breeders, Sydney and Adelaide, have discovered the secret to platypus fer- tility and have effectively cornered the market. Zoos across the globe come to them to purchase their output; the world inverse demand for baby platypuses is given avby P=1,000-20, where Q is the combined output of blu Sydney (qs) and Adelaide (qA). vide a. Sydney wishes to produce the profit-maximizing quantity of baby platypus. Given Adelaide's choice of output, 9A, write an equation for the residual demand faced by Sydney. 19125 non c. ab. Derive Sydney's residual marginal revenue curve. Assume that the marginal and average total cost of raising a baby platypus to an age at which it can be sold is $200. Derive Sydney's reaction function. d. Repeat steps (a), (b), and (c) to find Adelaide's reac- tion function to Sydney's output choice. 18 e. Substitute Sydney's reaction function into Adelaide's to solve for…
DuopolyMarket for mechanical pencils can be described by the following demand schedule:Price | Number of pencils demanded$6 | 80$5 | 200$4 | 320$3 | 440$2 | 560$1 | 680$0 | 800The fixed cost is $340, while the variable cost is $0.50.d) If there were two firms on the market and they agreed to cooperate, how much would eachfirm need to produce? Follow the procedure outlined in the lecture and show that the otherfirm would prefer to deviate from the agreement.e) When the firms deviate from the agreement, there is a new optimal level of output. Showwhether the firms have an incentive to deviate from that level?f) If there were two firms on the market, what would be the price and the quantity of pencilstraded if the firms couldn’t cooperate?