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Radford Castings can produce brake shoes on six different machines. The following table summarizes the manufacturing costs associated with producing the brake shoes on each machine along with the available capacity on each machine. If the company has received an order for 1,800 brake shoes, how should it schedule these machines? Machine Fixed Cost $ Variable Cost $ Capacity 1 $1000 $21 500 2 950 23 600 3 875 25 750 4 850 24 400 5 800 20 600 6 700 26 800   Formulate an ILP model for this problem. Create a spreadsheet model for this problem and solve it.  What is the optimal solution?

Radford Castings can produce brake shoes on six different machines. The following table summarizes the manufacturing costs associated with producing the brake shoes on each machine along with the available capacity on each machine. If the company has received an order for 1,800 brake shoes, how should it schedule these machines? Machine Fixed Cost $ Variable Cost $ Capacity 1 $1000 $21 500 2 950 23 600 3 875 25 750 4 850 24 400 5 800 20 600 6 700 26 800   Formulate an ILP model for this problem. Create a spreadsheet model for this problem and solve it.  What is the optimal solution?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 58P
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Radford Castings can produce brake shoes on six different machines. The following table summarizes the manufacturing costs associated with producing the brake shoes on each machine along with the available capacity on each machine. If the company has received an order for 1,800 brake shoes, how should it schedule these machines?

Machine

Fixed Cost $

Variable Cost $

Capacity

1

$1000

$21

500

2

950

23

600

3

875

25

750

4

850

24

400

5

800

20

600

6

700

26

800

 

  1. Formulate an ILP model for this problem.
  2. Create a spreadsheet model for this problem and solve it.
  3.  What is the optimal solution?

 

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