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Linear Programming

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Steelco manufactures two types of steel at three different steel mills. During a given month, each steel mill has 200 hours of blast furnace time available. Because of the differences in the furnaces at each mill, the time and cost to produce a ton of steel differ for each mill, as listed in the file P04_62.xls. Each month Steelco must manufacture at least 500 tons of steel 1 and 600 tons of steel 2. Determine how Steelco can minimize the cost of manufacturing the desired steel.

I have been able to figure out previous questions, but this has a restriction where it has to produce ATLEAST 500 and 600 tons. When I do the constraints, I am not sure if these numbers would be the constraints, and also if I should put in a time frame of MONTH 1 etc.

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This posting provides solution to linear programming problem for Steelco manufacturers for minimizing the total cost of manufacturing.

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