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A company manufactures two brands of carpet – Shag and sculptured in 100-yard lots. It requires 7 hours to produce one lot of shag carpet and 5 hours to produce one lot of sculptured carpet. The company has the following production goals in prioritized order:Do not underutilize production capacity, which is 480 hours.
Achieve product demand of 45 (100-yard) lots for shag and 40 (100-yard) lots for sculptured carpet. Meeting demand for shag carpet is more important than meeting demand for sculptured one, by a ratio of 3 to 2. Limit production overtime to 20 hours.
Tasks:
Formulate a goal programming model to determine the amount of shag and sculptured carpet to produce to best meet the company’s goals.
Solve this model by using the computer.
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