Steel Asia Corporation manufactures and supplies special-purpose steel to B/E Aerospace company. It has received orders...

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Steel Asia Corporation manufactures and supplies special-purpose steel to B/E Aerospace company. It has received orders for the next four months, as follows. Month January February March April Steel Asia can meet demand by producing the steel, by drawing from its inventory, or by a combination of both. Some detail to note is that inventory at the beginning of January is zero. Furthermore, production and Inventory costs are as follows. Month January February March April Demand (In Tons) 2500 3000 2700 3500 Production Cost 3200 3500 3700 3500 The production costs are in $ per ton. The inventory costs is $250 per ton per month. Steel Asia can produce at most 3000 tons of steel per month. Assume that all production takes place at the start of a month; immediately thereafter, the demand for that month is met; any remaining steel is stored in inventory. Provide a linear program whose solution gives a production plan (the amount of steel to produce in each month of the four months) that meets demand at minimum cost. Steel Asia Corporation manufactures and supplies special-purpose steel to B/E Aerospace company. It has received orders for the next four months, as follows. Month January February March April Steel Asia can meet demand by producing the steel, by drawing from its inventory, or by a combination of both. Some detail to note is that inventory at the beginning of January is zero. Furthermore, production and Inventory costs are as follows. Month January February March April Demand (In Tons) 2500 3000 2700 3500 Production Cost 3200 3500 3700 3500 The production costs are in $ per ton. The inventory costs is $250 per ton per month. Steel Asia can produce at most 3000 tons of steel per month. Assume that all production takes place at the start of a month; immediately thereafter, the demand for that month is met; any remaining steel is stored in inventory. Provide a linear program whose solution gives a production plan (the amount of steel to produce in each month of the four months) that meets demand at minimum cost.

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