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If the demand for drive-in movies is more elastic for couples than for single individuals, it will be optimal for theaters to charge one admission fee for the driver of the car and an extra fee for passengers. True or false? Explain.

Short Answer

Expert verified

The statement is true.

Step by step solution

01

Step 1. Explanation

When both the entry fee and usage fee are charged, it is known as a two-part tariff. There is an entry fee for the car, including the driver, and the usage fee for the other passengers. The marginal cost of the movie theatres is zero, i.e., there is only a fixed cost which does not change with the number of cars entering the theaters. Thus, the theaters should charge the entry fee, equal to the driver's consumer surplus, and a usage fee from every added passenger.

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Most popular questions from this chapter

Your firm produces two products, the demands for which are independent. Both products are produced at zero marginal cost. You face four consumers (or groups of consumers) with the following reservation prices:

CONSUMER GOOD 1(\() GOOD 2(\))

A 25 100

B 40 80

C 80 40

D 100 25

a. Consider three alternative pricing strategies: (i) selling the goods separately; (ii) pure bundling; (iii) mixed bundling. For each strategy, determine the optimal prices to be charged and the resulting profits. Which strategy would be best?

b. Now suppose that the production of each good entails a marginal cost of $30. How does this information change your answers to (a)? Why is the optimal strategy now different?

You are an executive for Super Computer, Inc. (SC), which rents out supercomputers. SC receives a fixed rental payment per time period in exchange for the right to unlimited computing at a rate of P cents per second. SC has two types of potential customers of equal numberโ€”10 businesses and 10 academic institutions. Each business customer has the demand function Q = 10 - P, where Q is in millions of seconds per month; each academic institution has the demand Q = 8 - P. The marginal cost to SC of additional computing is 2 cents per second, regardless of volume.

  1. Suppose that you could separate business and academic customers. What rental fee and usage fee would you charge each group? What would be your profits?
  2. Suppose you were unable to keep the two types of customers separate and charged a zero rental fee. What usage fee would maximize your profits? What would be your profits?
  3. Suppose you set up one two-part tariffโ€”that is, you set one rental and one usage fee that both business and academic customers pay. What usage and rental fees would you set? What would be your profits? Explain why the price would not be equal to marginal cost.

Some years ago, an article appeared in the New York Times about IBMโ€™s pricing policy. The previous day,IBM had announced major price cuts on most of itssmall and medium-sized computers. The article said:

IBM probably has no choice but to cut prices periodicallyto get its customers to purchase moreand lease less. If they succeed, this could makelife more difficult for IBMโ€™s major competitors.Outright purchases of computers are needed for ever larger IBM revenues and profits, says Morgan Stanleyโ€™s Ulric Weil in his new book, InformationSystems in the 80โ€™s. Mr. Weil declares that IBM cannot revert to an emphasis on leasing.

a. Provide a brief but clear argument in support of the claim that IBM should try โ€œto get its customers to purchase more and lease less.โ€

b. Provide a brief but clear argument against this claim.

c. What factors determine whether leasing or selling is preferable for a company like IBM? Explain briefly.

As the owner of the only tennis club in an isolated wealthy community, you must decide on membership dues and fees for court time. There are two types of tennis players. โ€œSeriousโ€ players have demand

Q1 - 10 - P

where Q1 is court hours per week and P is the fee per hour for each individual player. There are also โ€œoccasionalโ€ players with demand

Q2 = 4 - 0.25P

Assume that there are 1000 players of each type. Because you have plenty of courts, the marginal cost of court time is zero. You have fixed costs of $10,000 per week. Serious and occasional players look alike, so you must charge them the same prices.

  1. Suppose that to maintain a โ€œprofessionalโ€ atmosphere, you want to limit membership to serious players. How should you set the annual membership dues and court fees (assume 52 weeks per year) to maximize profits, keeping in mind the constraint that only serious players choose to join? What would profits be (per week)?
  2. A friend tells you that you could make greater profits by encouraging both types of players to join. Is your friend right? What annual dues and court fees would maximize weekly profits? What would these profits be?
  3. Suppose that over the years, young, upwardly mobile professionals move to your community, all of whom are serious players. You believe there are now 3000 serious players and 1000 occasional players. Would it still be profitable to cater to the occasional player? What would be the profit-maximizing annual dues and court fees? What would profits be per week?

Many retail video stores offer two alternative plans for renting films:

โ€ข A two-part tariff: Pay an annual membership fee (e.g., \(40) and then pay a small fee for the daily rental of each film (e.g., \)2 per film per day).

โ€ข A straight rental fee: Pay no membership fee, but pay a higher daily rental fee (e.g., $4 per film per day).

What is the logic behind the two-part tariff in this case? Why offer the customer a choice of two plans rather than simply a two-part tariff?

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