Steelco has received an order for 100 tons of steel. The order must contain at least 3.5tons of nickel, at most 3 tons of carbon, and exactly 4 tons of manganese. Steelco receives $20/ton for the...

Steelco has received an order for 100 tons of steel. The order must contain at least 3.5tons 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 is given in Table 28. Steelco wants to maximize the profit (revenues - costs) obtained from filling the order. Formulate the appropriate LP. Also find and interpret the shadow prices for each constraint.