The Athletic manufactures standard-size tennis racket and oversize tennis racket. Each standard-size racket uses 0.125 kg of alloy and each oversize racket uses 0.4 kg of alloy. Over the next two weeks' production period, only 80 kg of alloy are available. Each standard-size racket uses 10 minutes of manufacturing time and each oversize racket uses 12 minutes. 40 hours of manufacturing time are available each week. The profit contributions are RM10 for each standard-size racket and RM15 for each oversize racket. The management specified that the production of standard-size rackets must be at least 20% of the total production. Formulate the above Linear Programming (LP) problem if the company would like to maximize the total profit contributions over the next TWO WEEKS.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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The Athletic manufactures standard-size tennis racket and
oversize tennis racket. Each standard-size racket uses 0.125 kg
of alloy and each oversize racket uses 0.4 kg of alloy. Over the
next two weeks' production period, only 80 kg of alloy are
available. Each standard-size racket uses
10 minutes of
manufacturing time and each oversize racket uses 12 minutes.
40 hours of manufacturing time are available each week. The
profit contributions are RM10 for each standard-size racket and
RM15 for each oversize racket. The management specified that
the production of standard-size rackets must be at least 20% of
the total production.
Formulate the above Linear Programming (LP) problem if the
company would like to maximize the total profit contributions
over the next TWO WEEKS.
Transcribed Image Text:The Athletic manufactures standard-size tennis racket and oversize tennis racket. Each standard-size racket uses 0.125 kg of alloy and each oversize racket uses 0.4 kg of alloy. Over the next two weeks' production period, only 80 kg of alloy are available. Each standard-size racket uses 10 minutes of manufacturing time and each oversize racket uses 12 minutes. 40 hours of manufacturing time are available each week. The profit contributions are RM10 for each standard-size racket and RM15 for each oversize racket. The management specified that the production of standard-size rackets must be at least 20% of the total production. Formulate the above Linear Programming (LP) problem if the company would like to maximize the total profit contributions over the next TWO WEEKS.
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