17 A product can be produced on four different machines.

Each machine has a fixed setup cost, variable production costs per-unit-processed, and a production capacity given in Table 15. A total of 2,000 units of the product must be produced. Formulate an IP whose solution will tell us how to minimize total costs.

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TABLE 15 Variable Cost Machine Fixed Cost ($) per Unit (S) Capacity 1234 1 1,000 2 920 3 800 4 700 2268 20 900 24 1,000 16 1,200 1,600