The production planner for a private label soft drink maker is planning the prod
ID: 423600 • Letter: T
Question
The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R) and sassafras soda (S). Two resources are constrained: production time (T), of which she has at most 12 hours per day; and carbonated water (W), of which she can get at most 1500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case.
Q6. Which of the following is not a feasible production combination?
0 R & 240 S
0 R & 0 S
180 R & 120 S
180 R & 240 S
300 R & 0 S
0 R & 240 S
B.0 R & 0 S
C.180 R & 120 S
180 R & 240 S
E.300 R & 0 S
Explanation / Answer
Answer: E
Let
R = number of cases of Root Beer to produce
S = number of cases of Orange Soda to produce
Maximize 6R + 4S
Subject to
2R + 3S ? 12(60) = 720
5R + 5S ? 1500
R, S ? 0
Optimal Solution: R = 300, S = 0
Maximum Profit = 1800
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