Answer Happy

Formulate and solve the linear programming problem. A steel producer makes two types of steel: regular and special. A ton of regular steel requires 2 hours in the open-hearth furnace and 5 hours in the soaking pit; a ton of special steel requires 2 hours in the open-hearth furnace and 3 hours in the soaking pit. The open-hearth furnace is available 8 hours per day and the soaking pit is available 15 hours per day. The profit on a ton of regular steel is $120 and it is $100 on a ton of special steel. Determine how many tons of each type of steel should be made to maximize the profit.