The production planner for Fine Coffees, Inc., produces two coffee blends: American (A)and British (B). Two of his resources are constrained: Columbia beans, of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans, of which he can get at most 200 pounds (3,200 ounces)per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound. What is the Columbia bean constraint?
A)1 A + 2 B ≤ 4,800
B)12 A + 8 B ≤ 4,800
C)2 A + 1 B ≤ 4,800
D)8 A + 12 B ≤ 4,800
E)4 A + 8 B ≤ 4,800

Question

Quizplus · Accepted Answer

The Columbia bean constraint is determined by the amount of Columbia beans used in each blend. The American blend uses 12 ounces per pound, and the British blend uses 8 ounces per pound. Given the maximum availability of 4,800 ounces of Columbia beans, the constraint for using Columbia beans in both blends is 12A + 8B ≤ 4,800.

The Production Planner for Fine Coffees, Inc