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Auxiliary variable cells method to solve linear model

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Klein Industries manufactures three air compressors: small, medium, and large, which have unit profits of $20.50, $34, and $42 respectively. The monthly projected sales of small are a minimum of 14,000 and a maximum of 21,000. Projected sales for medium is projected to be at least 6200 with a maximum of 12500. And large is projected to have a minimum of 2600 and a max of 4200. Production is complete in three steps time is given per minute. Bending and forming ; small 0.4+ medium 0.7 + large 0.8 is less than or equal to 23,400 minutes. Welding; small 0.6 + medium 1 + large 1.2 is less than or equal to 23,400 minutes. Painting; small 1.4 + medium 2.6 + large 3.1 is less than or equal to 46,800 minutes.

Formulate and solve a linear optimization model using the auxiliary variable cells method and write a short memo to the production manager explaining the sensitivity information.

The solution file includes, Memorandum.doc and the computation of solution by linear optimization model by solving the problem above.

Reference no: EM13108256

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