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March 24, 2017

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A clothing company makes two basic products- shirts and pants. The company has 50 labor hours per day in the cutting department and 70 hours available in the sewing department. It takes 12 minutes to cut a shirt and 15 minutes to sew it. It takes 13 minutes to cut pants and 18 minutes to sew them. No more than 100 pairs of pants can be sold. The profit on a shirt is $5 and the profit on a pair of pants is $8. How many of each should the company produce in order to maximize profit?

  • Algebra - ,

    maximize p = 5s + 8t subject to

    t <= 100
    12s + 13t <= 3000
    15s + 18t <= 4200

    142 shirts and 100 trousers

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