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The production manager for the Softy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. Two of her resources are production time (8 hours = 480 minutes per day) and syrup (1 of the 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 production quantities for each type of soft drink? What is the optimal daily profit?
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Hello,
Key: Decision variables are
Let xr be the quantity of regular soft drink cases produced and sold
xd be the quantity of diet soft drink cases produced and sold
Objective is to maximize profit
Max 3xr+2xd
Subject to
2xr+4xd<=480
5xr+3xd<=675
xr>=0
xd>=0
We should produce 90 cases of regular soft drink, and 75 of diet cases. Optimal daily profit $ 420
The solution in LINDO is as follows
LP …
