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 Colombian beans?
A) A + 2B ≤ 4,800.
B) 12A + 8B ≤ 4,800.
C) 2A + B ≤ 4,800.
D) 8A + 12B ≤ 4,800.
E) 4A + 8B ≤ 4,800.

Question

Quizplus · Accepted Answer

The constraint for Colombian beans is given as 12A + 8B ≤ 4,800 which means that the total Colombian beans used in the production of American and British blends should not exceed 4,800 ounces (300 pounds x 16 ounces). This is because each pound of American blend coffee requires 12 ounces of Colombian beans, and each pound of British blend coffee needs 8 ounces of Colombian beans. Therefore, this constraint limits the amount of American and British blends that can be produced using Colombian beans. To maximize profits, the production planner needs to use this constraint along with the constraint for Dominican beans to determine the optimal production plan.

The Production Planner for Fine Coffees, Inc