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A steel producer makers two types of steel: regular steel and special steel. A ton of regular steel requires 2 hours in the open-hearth furnace

A steel producer makers two types of steel: regular steel and special steel. A ton of regular steel requires 2 hours in the open-hearth furnace and 3 hours in the soaking pit. A special steel requires 2 hours in the open-hearth furnace and 5 hours in the soaking pit. The openhearth 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 P4, 000 and it is P6, 000 on a ton of special steel. Determine how many tons of each type of steel should be made to maximize the profit, considering that the demand on regular steel is at least 1 ton.

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