The production planner for Fine Coffees, Inc. produces two coffee blends: American (A) and British (B). He can only get 300 pounds of Colombian beans per week and 200 pounds of Dominican beans 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. The goal of Fine Coffees, Inc. is to maximize profits.
What is the constraint for Dominican beans?
A) 12A + 8B ≤ 4,800.
B) 8A + 12B ≤ 4,800.
C) 4A + 8B ≤ 3,200.
D) 8A + 4B ≤ 3,200.
E) 4A + 8B ≤ 4,800.

Question

Quizplus · Accepted Answer

Each pound of American blend requires 4 ounces of Dominican beans, and each pound of British blend requires 8 ounces. The total available Dominican beans are 200 pounds, which is 3200 ounces (since 1 pound = 16 ounces). Therefore, the constraint is 4A + 8B ≤ 3200.

The Production Planner for Fine Coffees, Inc