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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:

Alloy (%)

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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