A company is making 2 kinds of Gloves per week: Regular (R ) Gloves and Fancy...

A company is making 2 kinds of Gloves per week: Regular (R ) Gloves and Fancy (F) ones. They have 3 departments with limited hours per week. These 3 departments are Cutting Depart. (has 90 hrs), Sewing Depart. (has 30 hrs), and Packaging Depart. (has 10 hrs). They make $15 profit for each pair of Regular Gloves and $24 profit for Fancy gloves. It takes 1.0 hr to cut, 0.5 hour to sew and 1/8 of hour to package a pair of Regular gloves. It takes 1.5 hr to cut, 20 minutes to sew and 15 minutes to package a pair of Fancy gloves.

how many of each gloves should they make to Maximize the profit

Which department has extra capacity

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Expert Solution

First image is the solution and second image is showing formulas.

40 pairs of fancy gloves making is most profitable one

And making 40 pairs of fancy gloves , Cutting Dept will have 30 hrs and sewing dept will have 16.6667 hrs of extra capacity.

jeff jeffy answered 1 year ago

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