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).

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, of which she has at most 12 hours per day; and carbonated water, of which she can get at most 1,500 gallons per day. A case of root beer requires 2 minutes of time and 4.1 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5.3 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case. If the optimal solution is to produce 300 cases of rootbeer, how much water is required per day?

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