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 Dominican bean constraint?
A)12 A + 8 B ≤ 4,800
B)8 A + 12 B ≤ 4,800
C)4 A + 8 B ≤ 3,200
D)8 A + 4 B ≤ 3,200
E)4 A + 8 B ≤ 4,800

Question

Quizplus · Accepted Answer

The Dominican bean constraint is determined by the amount of Dominican beans used per pound of each coffee blend. The American blend uses 4 ounces of Dominican beans per pound, and the British blend uses 8 ounces per pound. With a maximum of 3,200 ounces of Dominican beans available, the constraint is 4A + 8B ≤ 3,200.

The Production Planner for Fine Coffees, Inc