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NSC has received order for steel for each of the next four months, as given in the table below. NSC can meet these demands by producing the steel, by...

Attached is a production problem, please find using linear programming in solver

NSC has received order for steel for each of the next four months, as given in the table below. NSC can meet these demands by producing the steel, by drawing from inventory, or by any combination thereof. Because of the inflationary production costs given in the table, NSC can produce more steel than needed in each month, up to a maximum of 4000 tons. All production takes place at the beginning of the month, after which the demand is met and the remaining steel is stored in inventory, at a cost of $120 per ton for one month. Given that the inventory at the  beginning of the first month is 1000 tons, formulate a four-month production plan that  ensures at least 1500 tons of inventory at the end of the fourth month. Month 1  Month 2  Month 3  Month 4 Demand (tons)    2400  2200  2700  2500 Production Costs ($/ton) 7400  7500  7600  7800 Inventory Costs ($/ton)   120 120  120  120
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