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Category > Business & Finance Posted 22 Jul 2017 My Price 12.00

The Home Improvement Building Supply Company

The Home Improvement Building Supply Company has received the following order for boards in three lengths:

Length

Order (quantity)

7 feet

700 boards

9 feet

1200 boards

10 feet

500 boards

The company has 25-foot standard-length boards in stock. Therefore, the standard-length boards must be cut into the lengths necessary to meet order requirements. Naturally, the company wishes to minimize the number of standard-length boards used. The company must, therefore, determine how to cut up the 25-foot boards in order to meet the order requirements and minimize the number of standard-length boards used.

  1. Formulate and solve a linear programming model for this problem.
  2. When a board is cut in a specific pattern, the amount of board left over is referred to as trim loss. Reformulate and solve the linear programming model for this problem, assuming that the objective is to minimize trim loss rather than to minimize the total number of boards used

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Homework Helper
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Status NEW Posted 22 Jul 2017 12:07 PM My Price 12.00

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