Quickbrush Paint Company is developing a linear program to determine the optimal

Question

Quickbrush Paint Company is developing a linear program to determine the optimal quantities of ingredient A and ingredient B to blend together to make oil-base and water-base paint. The oil-base paint contains 90 percent A and 10 percent B, whereas the water-base paint contains 30 percent A and 70 percent B. Quickbrush currently has 10,000 gallons of ingredient A and 5,000 gallons of ingredient B in inventory and cannot obtain more at this time. Assuming that x represents the number of gallons of oil-base paint, and y represents the gallons of water-base paint, which constraint is correctly represents the constraint on ingredient A?

.9x + .3y 10,000

.9A + .1B 10,000

.9x + .1y 10,000

.3x + .7y 10,00

.9x + .3y 10,000

.9A + .1B 10,000

.9x + .1y 10,000

.3x + .7y 10,00

Explanation / Answer

Quickbrush Paint Company is developing a linear program to determine the optimal quantities of ingredient A and ingredient B to blend together to make oil-base and water-base paint.

The oil-base paint contains 90 percent A and 10 percent B,

whereas the water-base paint contains 30 percent A and 70 percent B.

Quickbrush currently has 10,000 gallons of ingredient A and 5,000 gallons of ingredient B in inventory and cannot obtain more at this time.

Assuming that x represents the number of gallons of oil-base paint, and y represents the gallons of water-base paint, constraint which correctly represents the constraint on ingredient A = 0.9 X + 0.3y <=10000

Thus, Option 1 is correct answer

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