Question

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 Columbia bean constraint?

Answer 1

The question is incomplete.

The correct question is:

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

What is the constraint for Dominican beans?

Answer: 12A + 8B ≤ 4,800

Explanation:

Two of his resources are constrained and Columbia beans is one of them which he gets at most 300pounds which is 4800 ounces per week.

Therefore the objective function is:

A + B = Z

The objective function is to maximize profit of of 2 dollars per pound of A and 1 dollar per pound of B.

=2 A + B

The Columbia bean constraint is:

The production planner uses 12 ounces of A and 8 ounces of B.

Therefore the maximum available is;

12A + 8B ≤ 4,800