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. Which of the following is not a feasible production combination?
A)0 A and 0 B
B)0 A and 400 B
C)200 A and 300 B
D)400 A and 0 B
E)400 A and 400 B

Question

Quizplus · Accepted Answer

Option E (400 A and 400 B) is not feasible because it exceeds the available resources. For the American blend (A), 12 ounces of Colombian beans and 4 ounces of Dominican beans are needed per pound. For the British blend (B), 8 ounces of each type of bean are needed per pound. Calculating the total bean requirements for option E: For 400 pounds of A, (400 * 12) = 4800 ounces of Colombian beans and (400 * 4) = 1600 ounces of Dominican beans are needed. For 400 pounds of B, (400 * 8) = 3200 ounces of each type of bean are needed. The total requirement would be 8000 ounces of Colombian beans and 4800 ounces of Dominican beans, which exceeds the available 4800 ounces of Colombian beans and 3200 ounces of Dominican beans.

The Production Planner for Fine Coffees, Inc