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). There are at most 12 hours per day of production time and 1,500 gallons per day of carbonated water available. 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. The firm's goal is to maximize profits.
Which of the following is not a feasible solution?
A) (R, S) = (0, 0)
B) (R, S) = (0, 240)
C) (R, S) = (180, 120)
D) (R, S) = (300, 0)
E) (R, S) = (180, 240)

Question

Quizplus · Accepted Answer

Option E is not feasible because producing 180 cases of root beer and 240 cases of sassafras soda would require more than the available resources. Specifically, it would require more than 12 hours of production time. Calculating the time needed: 180 cases of root beer would take 360 minutes (2 minutes per case), and 240 cases of sassafras soda would take 720 minutes (3 minutes per case), totaling 1080 minutes or 18 hours, which exceeds the 12-hour limit.

The Production Planner for a Private Label Soft Drink Maker