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# 8906-Interger Linear Programming Spreadsheet Modeling & Decision Analysis 4ed

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company maufactures three products: A, B and C. The company currently has an order for three units of product A, 7 units of product B, and 4 units of product C. There is no inventory for any of these products. All three products require special processing that can be done on one of two machines. The cost of producing each product on each machine is summarized in the following table:

Cost of producing a Unit of Product
Machine A B C
1 \$13 \$9 \$10
2 \$11 \$12 \$8

The time required to produce each product on each machine is summarized in the following table:

Time (hours) Needed to
Produce a Unit of Product

Machine A B C
1 0.4 1.1 0.9
2 0.5 1.2 1.3

Assume Machine 1 can be used for eight hours and machine 2 can be used for six hours. Each machine must undergo a special setup operation to prepare it to produce each product. After completing this setup for a product, any number of that product type can be produced. The setup costs for producing each product on each machine are summarized in the following table.

Setup Costs for Producing
a Unit of Product

Machine A B C
1 \$55 \$93 \$60
2 \$65 \$58 \$75

a. Formulate an ILP model to determine how many units of each product to produce on each machine in order to meet demand at a minimum cost.