Question

Manatee Manufacturing produces two grades of commercial carpet. In the next planning period, they need to decide how many rolls of each grade to produce. Each roll of grade I uses 50 units of synthetic fiber, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of grade II uses 40 units of synthetic fiber, requires 40 hours of production time, and needs 15 units of foam backing. The profit per roll of grade I carpet is $200 and the profit per roll of grade II is $160. They have 3000 units of synthetic fiber available, and workers have been scheduled to provide 1800 hours of production time. The company has 1500 units of foam backing available.

Let G1 and G2 be the number of rolls of grades I and II to produce, respectively. The correct formulation of the production time constraint is:

Group of answer choices

25G1 + 40G2 <= 1800

G1/25 + G2/40 >= 1800

25G1 + 40G2 >= 1800

G1/25 + G2/40 <= 1800

Answer 1

[OR]

Solution:

The total time should be less than the total production time available
G1*25+G2*40<=1800
25G1+40G2<=1800

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