Mathematics Homework Solutions
Problem
#167096

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

Attached file(s):
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problem.doc  View File

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problem.doc
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

PAGE

PAGE 6

Solution Summary

An LP problem is solved.

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