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 Dominican bean constraint?
A)12A + 8B $\le$ 4,800
B)8A + 12B $\le$4,800
C)4A + 8B $\le$ 3,200
D)8A + 4B $\le$3,200
E)4A + 8B $\le$ 4,800

Question

Quizplus · Accepted Answer

We can set up the following system of constraints:
12A + 8B ≤ 4800 (Colombian bean constraint)
4A + 8B ≤ 3200 (Dominican bean constraint)
We want to find the Dominican bean constraint, so we are looking for the coefficient in front of B in the second constraint. That coefficient is 8, so the correct answer is C: 4A + 8B ≤ 3200.

The Production Planner for Fine Coffees,Inc ≤\le≤ 4,800 B)8A + 12B ≤\le≤

The Production Planner for Fine Coffees,Inc $\le$ 4,800
B)8A + 12B $\le$