The Production Planner for Fine Coffees, Inc

Multiple Choice

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