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Posted 17 May 2013 - 02:38 AM
Steelco has received an order for 100 tons of steel. The order must contain at least 3.5 tons of nickel, at most 3 tons of carbon, and exactly 4 tons of manganese. Steelco receives $20/ton for the order. To fill the order, Steelco can combine four alloys, whose chemical composition and cost is given in the table below:
Content 1 2 3 4
Nickel 6 3 2 1
Carbon 3 2 5 6
Manganese 8 3 2 1
Cost/Ton ($) 12 10 8 6
Steelco wants to optimize profit (revenue-costs) obtained from filling the order. How much of each Alloy content type must they produce to achieve optimal profit?
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