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Linear programming model for the problem

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Reference no: EM13962298

Colorado Gem and Mineral Co. (CGM) purchases two unprocessed ores from Philippines Mining, which it uses in the production of various compounds. Its current needs are for 800 pounds copper, 600 pounds of zinc, and 500 pounds of iron. The amount of each mineral found in each 100 pounds of the unprocessed ores and CGM's cost per 100 pounds are given in the following table.

Ore

Copper per 100 pounds

Zinc per 100 pounds

Iron per 100 pounds

Waste per 100 pounds

Cost per 100 pounds

Manila ore

20

20

20

40

$100

Sucre ore

40

25

10

25

$140

The objective is to determine the amount of each ore that should be purchased in order to minimize the total purchasing cost.

a) Formulate the linear programming model for the problem.

b) Use the Graphical method to find the optimal solution. Show all steps.

c) Use Excel Solver to find the optimal solution. Copy and paste your spreadsheet and the Answer report from Excel.

Reference no: EM13962298

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