Creative Sports Design (CSD) manufactures a standard-size racket and an oversize racket. The firm’s rackets are extremely light due to the use of a magnesium-graphite alloy that was invented by the firm’s founder. Each standard-size racket uses 0.125 kilograms of the alloy and each oversize racket uses 0.4 kilograms; over the next two-week production period only 80 kilograms of the alloy are available. Each standard-size racket uses 10 minutes of manufacturing time and each oversize racket uses 12 minutes. The profit contributions are $10 for each standard-size racket and $15 for each oversize racket, and 40 hours of manufacturing time are available each week. Management specified that at least 20% of the total production must be the standard-size racket. How many rackets of each type should CSD manufacture over the next two weeks to maximize the total profit contribution? Assume that because of the unique nature of their products, CSD can sell as many rackets as they can produce.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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) Creative Sports Design (CSD) manufactures a standard-size racket and an oversize racket.
The firm’s rackets are extremely light due to the use of a magnesium-graphite alloy that was
invented by the firm’s founder. Each standard-size racket uses 0.125 kilograms of the alloy and
each oversize racket uses 0.4 kilograms; over the next two-week production period only 80
kilograms of the alloy are available. Each standard-size racket uses 10 minutes of manufacturing
time and each oversize racket uses 12 minutes. The profit contributions are $10 for each
standard-size racket and $15 for each oversize racket, and 40 hours of manufacturing time are
available each week. Management specified that at least 20% of the total production must be the
standard-size racket. How many rackets of each type should CSD manufacture over the next two
weeks to maximize the total profit contribution? Assume that because of the unique nature of
their products, CSD can sell as many rackets as they can produce.

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