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.
What is the objective function?
A) P = 4R + 6S
B) P = 2R + 3S
C) P = 6R + 4S
D) P = 3R +2S
E) P = 5R + 5S

Question

Quizplus · Accepted Answer

The objective function is to maximize profits, which can be represented as P = 6R + 4S, since the profits for root beer are $6.00 per case and the profits for sassafras soda are $4.00 per case. This function takes into account both the time and water constraints, and maximizes profits by producing the optimal combination of root beer and sassafras soda.

The Production Planner for a Private Label Soft Drink Maker