At one of its factories, a jeans manufacturer makes two styles: #891 and #917. Each pair of style-891 takes 10 minutes to cut out and 20 minutes to assemble and finish. Each pair of style-917 takes 10 minutes to cut out and 30 minutes to assemble and finish. The plant has enough workers to provide at most 7,500 minutes per day for cutting and at most 19,500 minutes per day for assembly and finishing. The profit on each pair of style-891 is $6.00 and the profit on each pair of style-917 is $9.50. Find the maximum daily profit. Round your answer to the nearest cent if necessary.
A)$6175.00
B)$4500.00
C)$7125.00
D)$3900.00
E)$5600.00

Question

At one of its factories, a jeans manufacturer makes two styles: #891 and #917. Each pair of style-891 takes 10 minutes to cut out and 20 minutes to assemble and finish. Each pair of style-917 takes 10 minutes to cut out and 30 minutes to assemble and finish. The plant has enough workers to provide at most 7,500 minutes per day for cutting and at most 19,500 minutes per day for assembly and finishing. The profit on each pair of style-891 is $6.00 and the profit on each pair of style-917 is $9.50. Find the maximum daily profit. Round your answer to the nearest cent if necessary. ​
A)$6175.00
B)$4500.00
C)$7125.00
D)$3900.00
E)$5600.00

Quizplus · Accepted Answer

The maximum daily profit is $6175.00. This is achieved by producing 300 pairs of style-891 and 200 pairs of style-917.

At One of Its Factories, a Jeans Manufacturer Makes Two