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

Question

Quizplus · Accepted Answer

The objective function is the profit function, which is given as Z = $6R + $4S, where R is the number of cases of root beer produced and S is the number of cases of sassafras soda produced. Since the profit for root beer is higher than the profit for sassafras soda, maximizing the production of root beer will give the highest profit. Hence, the best choice is to produce only root beer, which will maximize the profit at $6.00 per case.

The Production Planner for a Private Label Soft Drink Maker