Quickbrush Paint Company Is Developing a Linear Program to Determine

Multiple Choice

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?

A) .9A + .1B ≤ 10,000
B) .9x + .1y ≤ 10,000
C) .3x + .7y ≤ 10,000
D) .9x + .3y ≤ 10,000