Question

A sewing machine operator may sew coats or trousers. The trousers require 3 minutes of sewing...


A sewing machine operator may sew coats or trousers. The trousers require 3 minutes of sewing time, and the operator receives $0.65each. A coat requires 8 minutes of sewing time, and the operator receives $1.00 each. The operator must sew at least three coats per hour. How many coats and how many trousers should the operator sew each hour to maximize hourly income?

Math   Statistics-And-Probability   
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Answer #1

Its clearly visible that operator can sew trousers in 6 mins and can make 1.3$ with 2 mins still less than what is requires to sew a coat.

The operator is making more money with the trousers than with the coats.

Since there is condition that operator should sew at least 3 coats. So,

3x8 = 24 minutes for coats = $3.00

She has 36 minutes left to sew trousers. 36/3 = 12 trousers 12 x $0.65 = $7.80. If she sews more than 3 coats, she will be losing money.

No of Coats = 3

No of trousers = 12

Total Money = 7.8 + 3 = 10.8$

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