Knoebels Amusement Park in Elysburg, Pennsylvania, charges a lump-sum fee, L, to enter its Crystal Pool. Italso charges p per trip down a slide on the pool's water slides. Suppose that 400 teenagers visit the park, eachof whom has a demand function of q₁ = 6 -p, and that 350 seniors also vist, each of whom has a demandfunction of q₂ =3-p. Knoebels's objective is to set L and p so as to maximize its profit given that it has no(non-sunk) cost and must charge both groups the same prices. What are the optimal L and p?The optimal L and p areL= $ and p = $(Enter numeric responses using real numbers rounded to three decimal places.)

There are 400 teenagers who visit the part.The demand function for these 400 teenagers are 350…

Answered: Knoebels Amusement Park in Elysburg,…

Microeconomics: Principles & Policy

14th Edition

ISBN:9781337794992

Author:William J. Baumol, Alan S. Blinder, John L. Solow

Publisher:William J. Baumol, Alan S. Blinder, John L. Solow

Chapter13: Between Competition And Monopoly

Section: Chapter Questions

Problem 5DQ

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Knoebels Amusement Park in Elysburg, Pennsylvania, charges a lump-sum fee, L, to enter its Crystal Pool. It also charges p per trip down a slide on the pool's water slides. Suppose that 450 teenagers visit the park, each of whom has a demand function of q₁ = 6-p, and that 300 seniors also vist, each of whom has a demand function of q₂ = 5-p. Knoebels's objective is to set L and p so as to maximize its profit given that it has no (non-sunk) cost and must charge both groups the same prices. What are the optimal L and p? The optimal L and p are L=$and p=$. (Enter numeric responses using real numbers rounded to three decimal places.)
Knoebels Amusement Park in Elysburg, Pennsylvania, charges a lump-sum fee, L, to enter its Crystal Pool. It also charges p per trip down a slide on the pool’s water slides. Suppose that 400 teenagers visit the park, each of whom has a demand function of q1 = 5 – p, and that 400 seniors also visit, each of whom has a demand function of q2 = 4 – p. Knoebels’ objective is to set L and p so as to maximize its profit given that it has no (non-sunk) cost and must charge both groups the same prices. What are the optimal L and p?
Question 5: Jimmy has a room that overlooks, from some distance, a major league baseball stadium. He decides to rent a telescope for $50 a week and charge his friends and classmates to use it to peep at the game for 30 seconds. He can act as a monopolist for renting out "peeps". For each person who takes a 30 second peep, it costs Jimmy $.20 to clean the eyepiece. Jimmy believes he has the following demand for his service: Price of a Peep $1.20 Quantity of peeps demanded 1.00 90 100 150 200 250 300 70 60 50 350 40 30 400 450 20 10 500 550 a) For each price, calculate the total revenue from selling peeps and themarginal revenue per peep. Price Quantity TR MR $1.20 100 90 100 150 200 70 250 60 300 350 50 40 30 400 450 20 500 10 550 b) At what quantity will Jimmy's profit be maximized? What price will he charge? What will his total profit be? c) Jimmy's landlady complains about all the visitors coming into the building and tells Jimmy to stop selling peeps. Jimmy discovers, though, if he…
Suppose the typical LA Rams fan has the following demand curve for Bills football games: P = 200 – 5G where G is the number of games the fans attend. Suppose the Bills have the chance to offer a various multi-game season ticket packages and tickets to individual games. If the Rams want to sell a particular fan single tickets to all eight home games, what price must they charge? $___ What should be the total price for a LA Rams 8-game season ticket package? $___ What should be the average ticket price for an LA Rams 4-game season ticket package? $___ Suppose the Rams have the opportunity to sell tickets to individual games. What price should they charge? $___
A manager of a nightclub realizes that demand for drinks is more elastic among students and is trying to determine the optimal pricing schedule. Specifically, he estimates the following average demand for his customer types: Under 25: qr =18-5p Over 25: q=10-2p The two age groups visit the nightclub in equal numbers on average. Assume that drinks cost the club $2 to make. If the manager can charge a separate entry fee and a price per drink for each group, what two-part price will the manager set for reach group. Now suppose that once again it is impossible to identify which group the customers belong. Suppose the manager lowers the price of drinks to equal to marginal cost and still wanted to attract both customers, what entry fee would the manager set? Compare the profits earned in parts a) to d). Which scheme would you choose if you could not identify customer type and which would you choose if you could identify customer type.
Joe Smiley buys his mobile phone services from Sprint, the sole provider in his state of Wyoming. Sprint offers the following pricing plans: a fee of 10 dollars per month and 50 minutes of free calls per monthor a fee of 20 dollars per month and 100 minutes of free calls. Under both plans the price of additional calls is 25 cents per minute. Joe Smiley's demand curve for mobile phone services is P=100 - 0.5Q where P is measured in cents/minute and Q is measured in minutes per month. Answer the following questions: a) suppose Joe Smiley subscribes to the first plan (10 dollar fee and 50 free minutes)(i) how much calling time would he consume? (ii) what would be his total benefit? What would be his surplus? b) suppose Joe Smiley subscribes to the second plan (20 dollar fee and 100 free…
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?
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?
Joe Smiley buys his mobile phone services from Sprint, the sole provider in his state of Wyoming. Sprint offers the following pricing plans: a fee of 10 dollars per month and 50 minutes of free calls per month or a fee of 20 dollars per month and 100 minutes of free calls. Under both plans the price of additional calls is 25 cents per minute.Joe Smiley's demand curve for mobile phone services is P=100 - 0.5Q where P is measured in cents/minute and Q is measured in minutes per month. a) suppose Joe Smiley subscribes to the first plan (10 dollar fee and 50 free minutes) (i) how much calling time would he consume? (ii) what would be his total benefit? What would be his surplus? b) suppose Joe Smiley subscribes to the second plan (20 dollar fee and 100 free minutes) (i) how much calling time would he consume? (ii) what would be his total benefit? What would be his surplus? c) which plan would Joe Smiley choose? He will choose plan (b) because it maximizes his surplus
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
A manager of a nightclub realizes that demand for drinks is more elastic among students and is trying to determine the optimal pricing schedule. Specifically, he estimates the following average demand for his customer types: Under 25: q^r=18-5pOver 25: q=10-2p The two age groups visit the nightclub in equal numbers on average. Assume that drinks cost the club $2 to make. A) suppose that once again it is impossible to identify which group the customers belong. Suppose the manager lowers the price of drinks to equal to marginal cost and still wanted to attract both customers, what entry fee would the manager set?
Suppose the typical Buffalo Bills fan has the following demand curve for Bills football games:P= 120-10G where G is the number of games the fans attend.If the Bills want to sell the fan a ticket to all eight home games, what price must they charge?

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