At one of its factories, a jeans manufacturer makes two styles: #891 and #917. Each pair ofstyle-891...

Question

At one of its factories, a jeans manufacturer makes two styles: #891 and #917. Each pair ofstyle-891 takes 10 minutes to cut out and 20 minutes to assemble and finish. Each pair ofstyle-917 takes 10 minutes to cut out and 30 minutes to assemble and finish. The plant has enough workers to provide at most 7500 minutes per day for cutting and at most 19,500 minutes per day for assembly and finishing. The profit on each pair ofstyle-891 is $14.00 and the profit on each pair ofstyle-917 is $18.50. How many pairs of each style should be produced per day to obtain maximum profit? Find the maximum daily profit.

David · Accepted Answer

Let the number of pairs of style #891 be denoted by x 
Further, the number of pairs of style #917 be denoted by y 
The objective is to maximise the profit function P = 14x +18.5y 
The constraint for cutting is 10x + 10y

At one of its factories, a jeans manufacturer makes two styles: #891 and #917. Each pair ofstyle-891 takes 10 minutes to cut out and 20 minutes to assemble and finish. Each pair ofstyle-917 takes 10...

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment