Question: The production manager for the Coory soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of her ingredients) limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. What are the optimal daily production quantities of each product and the optimal daily profit?

1. R = 75, D = 90, Z = $405
2. R = 135, D = 0, Z = $405
3. R = 0, D= 120, Z = $360
4. R = 90, D = 75, Z = $420
5. R = 40, D= 100, Z = $320

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