4. A decorator, who is a monopolist, makes two types of specialty picture frames. From experience, the decorator has determined that if x frames of the first type and y frames of the second type are made and put on sale in a showroom, they can be sold for (100– 2x) dollars and (120- 3y) dollars each, respectively. The total cost of constructing these frames is (12x + 12y +4xy) dollars. How many frames of each type should be produced to realize the maximum profit, and what is the maximum profit? Make sure to verify that this is indeed a maximum. 4

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ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter9: Monopoly
Section: Chapter Questions
Problem 33P: Draw a monopolists demand curve, marginal revenue, and marginal cost curves. Identify the...
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4. A decorator, who is a monopolist, makes two types of specialty picture frames. From experience,
the decorator has determined that if x frames of the first type and y frames of the second type
are made and put on sale in a showroom, they can be sold for (100– 2x) dollars and (120- 3y)
dollars each, respectively.
The total cost of constructing these frames is (12x + 12y +4xy) dollars. How many frames of
each type should be produced to realize the maximum profit, and what is the maximum profit?
Make sure to verify that this is indeed a maximum.
Transcribed Image Text:4. A decorator, who is a monopolist, makes two types of specialty picture frames. From experience, the decorator has determined that if x frames of the first type and y frames of the second type are made and put on sale in a showroom, they can be sold for (100– 2x) dollars and (120- 3y) dollars each, respectively. The total cost of constructing these frames is (12x + 12y +4xy) dollars. How many frames of each type should be produced to realize the maximum profit, and what is the maximum profit? Make sure to verify that this is indeed a maximum.
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