American (A) and The production planner for Fine Coffees, Inc. produces two coff
ID: 349555 • Letter: A
Question
American (A) and The production planner for Fine Coffees, Inc. produces two coffee blends 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 (16 ounce/pound) What is the objective function? A Maximize Z $1A $28 B Maximize Z $12A $88 C Maximize Z $2A $18 D. Maximize Z $8A $128 E. Maximize Z $4A S88 19 20 What is the Columbia bean constraint? A 1A +2B 4.800 B 12A 88 s 4,800 C 2A 18 s 4,800 D. 8A 128 s 4,800 E· 4A +88S 4,800 21 Which of the following is not a feasible production combination? A 0A and o B B 0 A and 400 B C 200 A and 300 B D. 400 A and o B E 400 A and 400 B 22 What are optimal weekly profits? A $O B. $400 C. $700 D $800 E $900 23 For the optimal production combination, how much of each resource is slack? A. Colombian beans: 0 pounds, Dominican beans: 0 pounds B. Colombian beans: 0 pounds; Dominican beans: 100 pounds C. Colombian beans 100 pounds; Dominican beans: 0 pounds D. Colombian beans: 100 pounds; Dominican beans: 100 pounds E. Colombian beans: 30 pounds, Dominican beans: 50 poundsExplanation / Answer
19.
Profits for American Blend: 2$ 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
Answer choice: C
20.
Given that each pound of American Blend requires 12 ounces of colombian beans and
Each pound of British Blend requires 8 ounces of colombian beans
Also given that he can get at most 4800 ounces of colombian beans
If A is the quantity of American Blend in pounds and B is the quantity of British Blend in pounds, then
16 ounce = 1 pound
[( A/16) X 12 ] + [(B/16) X 8 ] <= (4800 / 16)
16 on both sides gets cancelled
Thus, 12A + 8B <= 4800
Answer choice: B
21.
Similar to 20, the constraint for Dominican Beans is
4A + 8B <= 3200
This constraint will not be met for choice E
A = 400 and B = 400
Answer Choice: E
22.
Optimal Weekly Profit: 800 at A = 400 and B = 0
Answer Choice: D
23.
Optimal Production requires that A = 400 pounds
400 pounds of American Blend contains (3/4)th of Colombian Beans and (1/4)th of Dominican Beans
Thus, it contains 300 pounds of Colombian Beans. Thus slack = 0 (as there are 300 pounds available)
It contains 100 pounds of Dominican Beans. Thus slack = 100 (as there are 200 pounds available)
Answer Choice: B
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