17 Newcor’s steel mill has received an order for 25 tons of steel. The steel must be 5% carbon and 5% molybdenum by weight. The steel is manufactured by combining three types of metal: steel ingots, scrap steel, and alloys. Four steel ingots are available for purchase. The weight (in tons), cost per ton, carbon and molybdenum content of each ingot are given in Table 97.

Three types of alloys can be purchased. The cost per ton and chemical makeup of each alloy are given in Table 98

Steel scrap may be purchased at a cost of $100 per ton.
Steel scrap contains 3% carbon and 9% molybdenum.
Formulate a mixed integer programming problem whose solution will tell Newcor how to minimize the cost of filling their order.

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TABLE 97 Ingot Weight Cost per Ton ($) Carbon % Molybdenum % 1234 3 5346 5 350 330 310 6 280 5453 3 4 3 4 3 4