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

Question

Quizplus · Accepted Answer

The objective function is the total profit, which is given by:
Z = (profit per pound of American blend)(number of pounds of American blend) + (profit per pound of British blend)(number of pounds of British blend)
Z = ($2.00 A) + ($1.00 B)
This is choice C. Since the question does not provide any constraints, we cannot determine the best choice(s) without additional information. We would need to set up the constraints and solve the linear program using a method such as the simplex algorithm to find the optimal solution.

The Production Planner for Fine Coffees,Inc