Question

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

Answer 1

Answer:

C. $2 A + $1 B = Z

Explanation:

Profits for American Blend: 2$ per pound

Profits for British Blend: 1$ per pound

If A is the quantity of American Blend in pounds and B is the quantity of British Blend in pounds,  the Total Profit Z = 2A + 1B  (This has to be maximized)