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 1500 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.
-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

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 1500 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.
-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

Quizplus · Accepted Answer

The objective function is the equation that calculates the total profit based on the production of root beer (R) and sassafras soda (S). The equation for total profit is: P = 6R + 4S, where 6 is the profit per case of root beer, and 4 is the profit per case of sassafras soda. Maximizing this equation will result in maximizing the total profit for the company. Therefore, the best choice for production is to produce more root beer (R) and less sassafras soda (S), as the profit per case of root beer is higher.

The Production Planner for a Private Label Soft Drink Maker