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 should express the total profit to be maximized. In this case, the profit per case of root beer is $6 and the profit per case of sassafras soda is $4. Therefore, the objective function is:
Z = $6R + $4S
This function expresses the total profit (Z) as a function of the number of cases of root beer (R) and sassafras soda (S) produced. Maximizing Z will maximize the total profit. Therefore, the best choice is C.

The Production Planner for a Private Label Soft Drink Maker