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 $1.00 each. The operator must sew at least three
coats per hour. How many coats and how many trousers should the
operator sew each hour to maximize hourly income?
Its clearly visible that operator can sew trousers in 6 mins and can make 1.3$ 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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