The Production Planner for a Private Label Soft Drink Maker

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 1,500 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) $4 R + $6 S = Z
B) $2 R + $3 S = Z
C) $6 R + $4 S = Z
D) $3 R + $2 S = Z
E) $5 R + $5 S = Z