Each consumer has the following demand for annual visits to Planet Fitness: Q = 100 - P, where Q is the number of visits to Planet Fitness per year and P is the price per visit. In western Maryland, Planet Fitness has a monopoly on the gym market in the area. If the marginal cost of serving each customer is $10 per visit, what is the optimal two-part tariff that Planet Fitness could charge each customer? Annual fee = $4,050; P = $10 for each visit Annual fee = $5,000; P = $0 for each visit. Annual fee = $4,050; P = $0 for each visit. Annual fee = $5,000; P = $10 for each visit.

Each consumer has the following demand for annual visits to Planet Fitness: Q = 100 - P, where Q is the number of visits to Planet Fitness per year and P is the price per visit. In western Maryland, Planet Fitness has a monopoly on the gym market in the area. If the marginal cost of serving each customer is $10 per visit, what is the optimal two-part tariff that Planet Fitness could charge each customer? Annual fee = $4,050; P = $10 for each visit Annual fee = $5,000; P = $0 for each visit. Annual fee = $4,050; P = $0 for each visit. Annual fee = $5,000; P = $10 for each visit.

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter14: Indirect Price Discrimination

Section: Chapter Questions

Problem 14.2IP

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Suppose you can separate consumers into two groups: Group 1 has a price elasticity of demand = -3 and group 2 has a price elasticity of demand of -9. If you could conduct third-degree price discrimination, which group would you charge a higher price to? Why? What would be the relative price of group 1 to group 2? Suppose that the profit-maximizing price for group 2 is $12. What price should I charge group 1? Show all your work.
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
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…
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For each of the following scenarios, begin by assuming that all demand factors are set to their original values and Big Winner is charging $350 per room per night. If average household income increases by 10%, from $50,000 to $55,000 per year, the quantity of rooms demanded at the Big Winner from rooms per night to rooms per night. Therefore, the income elasticity of demand is , meaning that hotel rooms at the Big Winner are . If the price of an airline ticket from LAX to LAS were to increase by 50%, from $100 to $150 roundtrip, while all other demand factors remain at their initial values, the quantity of rooms demanded at the Big Winner from rooms per night to rooms per night. Because the cross-price elasticity of demand is , hotel rooms at the Big Winner and airline trips between LAX and LAS are . Big Winner is debating decreasing the price of its rooms to $325 per night. Under the initial demand conditions, you can see that this would…
In her spare time, your colleague is selling hand-carved wooden boxes on Etsy. The boxes are currently priced at $30/box. Your colleague is not happy with their current revenue stream and asks for your advice. You estimate that demand for your colleague's hand-carved wooden boxes is: Q = 800-20P. If your colleague is looking to maximize revenue, how should they price their wooden boxes? Keep prices at $30/box Lower prices to $20/box Raise price to $40/box Lower price to $25/box Raise prices to $35/box
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For each of the following scenarios, begin by assuming that all demand factors are set to their original values and that Big Winner is charging $200 per room per night. If average household income increases by 10%, from $50,000 to $55,000 per year, the quantity of rooms demanded at the Big Winner from rooms per night to rooms per night. Therefore, the income elasticity of demand is ,meaning that hotel rooms at the Big Winner are If the price of a room at the Lucky were to decrease by 10%, from $250 to $225, while all other demand factors remain at their initial values, the quantity of rooms demanded at the Big Winner from rooms per night to rooms per night. Because the cross-price elasticity of demand is , hotel rooms at the Big Winner and hotel rooms at the Lucky are Big Winner is debating decreasing the price of its rooms to $175 per night. Under the initial demand conditions, you can see that this would cause its v portion total revenue to Decreasing the price will always have this…