Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The production planner for Fine Coffees, Inc. produces two coffee blends: Americ

ID: 343026 • Letter: T

Question

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?

12A + 8B 4,800

8A + 12B 4,800

4A + 8B 3,200

8A + 4B 3,200

4A + 8B 4,800

12A + 8B 4,800

8A + 12B 4,800

4A + 8B 3,200

8A + 4B 3,200

4A + 8B 4,800

Explanation / Answer

4 ounces of Dominican beans are required for each pound of American coffee.

Therefore amount of Dominican beans required for A amount of American beans = 4.A

8 Ounces of Dominican beans are required for each pound of British coffee

Therefore, amount of Dominican beans required for B amount of British coffee = 8,B

Therefore total quantity of Dominican beans required = 4.A + 8.B

It is given that maximum available amount of Dominican beans 200 Pounds or 3200 Ounce

Therefore 4A + 8.B < = 3200

ANSWER : 4.A + 8.B <= 3200

ANSWER : 4.A + 8.B <= 3200