Q. Steel co has received an order for exactly 125 tons of steel. Order must contain at least 5.5 tons of nickel, at most 3.2 tons of carbon, also exactly 4 tons of manganese. To fill order Steel co can combine four alloys whose chemical composition is given in Table below. Steel co wishes to minimize cost for filling order. Explain how many tons from each Alloy should be in order?
Alloy 1 Alloy 2 Alloy 3 Alloy 4
Nickel 8% 5% 3% 4%
Carbon 3% 4% 5% 6%
Manganese 5% 6% 3% 2%
Cost/ton $15 $12 $10 $5
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