Purchase Solution

The Midland Tool Company

Not what you're looking for?

Ask Custom Question

The Midland Tool Company manufactures prefabricated metal housings and covers for consumer products under contracts from finished goods producers on four heavy presses of different sizes and different requirements. Currently, the company has a contract to manufacture three products that each require operations on any one of the four presses. The contract requires 400 units of product 1; 570 units of product 2; and 320 units of product 3. The time required, in minutes, for each product on each press follows.
Machine
Product 1 2 3 4
1 35 41 34 39
2 40 36 32 43
3 38 37 33 40
Machine 1 is available for 150 hours during the contract period, machine 2 is similarly available for 240 hours, machine 3 is available for 200 hours, and machine 4 is available for 250 hours. The manufacture of these products also results in different contributions to profit according to the press utilized due to time, waste and operating cost. These contributions are summarized as follows.
Machine
Product 1 2 3 4
1 $7.8 7.8 8.2 7.9
2 6.7 8.9 9.2 6.3
3 8.4 8.1 9.0 5.8

a. Formulate a linear programming model that can be used to determine the optimal production schedule for the presses to meet the contract requirements that yields the maximum total contribution to profit.
b. Determine the optimal production schedule using the Management Scientist software, including the number of units of each product produced on each press and the total profit contribution. Provide a narrative that explains the Management Scientist solution used.

Purchase this Solution

Solution provided by:
Education
  • BE, Bangalore University, India
  • MS, University of Wisconsin-Madison
Recent Feedback
  • "Your explanation to the answers were very helpful."
  • "What does 1 and 0 means in the repair column?"
  • "Went through all of the formulas, excellent work! This really helped me!"
  • "try others as well please"
  • "Thank you, this helped a lot. I was not sure how to plug in those numbers to a formula. This was a great help. Now I have to figure out how to explain cost of capital is used in net present value analysis, and how cost of capital is used in net present value analysis. This stuff gets confusing."
Purchase this Solution


Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts