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 objective function?
A)$1 A + $2 B = Z
B)$12 A + $8 B = Z
C)$2 A + $1 B = Z
D)$8 A + $12 B = Z
E)$4 A + $8 B = Z

Question

Quizplus · Accepted Answer

The objective function represents the total profit, which is $2 per pound for the American blend (A) and $1 per pound for the British blend (B), hence $2A + $1B = Z.

The Production Planner for Fine Coffees, Inc