The production planner for Fine Coffees, Inc. produces two coffee blends: Americ
ID: 3199771 • 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 Colombian beans?
A + 2B ? 4,800
12A + 8B ? 4,800
2A + B ? 4,800
8A + 12B ? 4,800
4A + 8B ? 4,800
A + 2B ? 4,800
12A + 8B ? 4,800
2A + B ? 4,800
8A + 12B ? 4,800
4A + 8B ? 4,800
Explanation / Answer
We know 1 pound =16 ounces
A maximum of 300 pounds that is 16*300=4800 ounces of Colombian beans is available.
If A pounds of American blend and B ounces of British blend coffee are produced then we have
12A+8B can be maximum up to 4800 ounces that is less than or equal to 4800
So ans option 2)
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