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# Linear Programming: Optimal Profit

The production manager for the Whoppy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. The company operates one "8 hour" shift per day. Therefore, the production time is 480 minutes per day. During the production process, one of the main ingredients, syrup is limited to maximum production capacity of 675 gallons per day. Production of a regular case requires 2 minutes and 5 gallons of syrup, while production of 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 is the optimal daily profit?

The Decision Variables:
What are the decision variables in problem 15 above?

The Objective Function:
What is the objective function in problem 15 above?

The Constraints:
What are the constraints in the problem 15 above?

The Optimal Profit Solution

Use QM to verify your solution. Provide Screen shots of QM output

#### Solution Preview

The Decision Variables:
What are the decision variables in problem 15 above?
x = Cases of regular soft drink
y = Cases of diet soft drink

The Objective Function:
What is the objective function in problem 15 above?
Max Profit P = 3x + 2y

The Constraints:
What are the ...

#### Solution Summary

This solution explains how to determine the decision variables, the objective function, the constraints and the optimal profit solution using linear programming in an attached Word and Excel document.

\$2.19