The Production Planner for a Private Label Soft Drink Maker

Multiple Choice

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 production time constraint (in minutes) ?

A) 2 R + 3 S ≤ 720
B) 2 R + 5 S ≤ 720
C) 3 R + 2 S ≤ 720
D) 3 R + 5 S ≤ 720
E) 5 R + 5 S ≤ 720