Radford Castings

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
a. Formulate an ILP model for this problem.
b. Implement your model in Excel and solve it.
c. What is the optimal solution?