MYECON LAB W/PEARSON ETEXT MICROECON>IP
MYECON LAB W/PEARSON ETEXT MICROECON>IP
9th Edition
ISBN: 9780134153988
Author: PINDYCK
Publisher: PEARSON
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Chapter 11, Problem 12E
To determine

The practice of bundling.

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A monopolistic producer of two goods, 1 and 2, has a joint total cost function TC=10Q_(1)+Q_(1)Q_(2)+10Q_(2) where and denote the quantity of items of goods 1 and 2, respectively that are produced. If P1 and P2 denote the corresponding prices then the demand equations are P_(1)=50-Q_(1)+Q_(2) P_(2)=30+2Q_(1)-Q_(2) Using the Lagrange multiplier approach, find the maximum profit if the firm is contracted to produce a total of 15 goods of either type. Estimate the new optimal profit if the production quota rises by 1 unit.
As a manager of a chain of movie theaters that are monopolies in their respective markets, you have noticed much higher demand on weekends than during the week. You therefore conducted a study that has revealed two different demand curves at your movie theaters. On weekends, the inverse demand function is P = 20 - 0.001Q; on weekdays, it is P = 15 - 0.002Q. You acquire legal rights from movie producers to show their films at a cost of $25,000 per movie, plus a $2.50 "royalty" for each moviegoer entering your theaters (the average moviegoer in your market watches a movie only once). What price should you charge on weekends? What price should you charge on weekdays?
You are the manager of a golf course. For simplicity assume that you only have two potential customers – a high demand customer whose inverse demand for golf services is given by P = 10 – 0.5Q and a low demand customer whose inverse demand for golf services is given by P = 8 – 0.5Q. Suppose the marginal cost to the golf course of each round of golf is zero.Suppose you have to charge both players the same two-part pricing strategy. Which of the following pricing strategies will yield the highest profit for you?   A. Charge a fixed fee of €100 and a per unit fee of zero   B. Charge a fixed fee of €64 and a per unit fee of zero   C. Charge a fixed fee of €64 and a per unit fee of €4   D. Charge a fixed fee of €128 and a fixed fee of zero.
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