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J.B. Rug Manufacturers has available 1200 square yards of wool and 1000 square yards of nylon for the manufacture of two grades of carpeting: high grade, which
sells for $500 per roll, and low grade, which sells for $300 per roll. Twenty square yards of wool and 40 square yards of nylon are used in a roll of high-grade carpet, and 40 square yards of nylon are used in roll of low grade carpet.
Forty work-hours are required to manufacture each roll of the high-grade carpet,
and 20 work-hours are required for each roll of the low-grade carpet, at an average cost of $6.00 per work-hour. A maximum of 800 work-hours are available.
The cost of wool is $5.00 per square yard and the cost of nylon is $2.00 per square yard. How many rolls of each type of carpet should be manufactured to maximize income?[Hint: Income = Revenue from sale - (Production cost for material + labor)]
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