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. 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.

. 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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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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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