Question: For Klein Industries (Problem 13.49), formulate and solve a linear optimization model using the auxiliary variable cells method and write a short memo to the

For Klein Industries (Problem 13.49), 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.

Data from Problem 13.49

Klein Industries manufactures three types of portable air compressors: small, medium, and large, which have unit profits of $20.50, $34.00, and $52.00, respectively. The projected monthly sales are as follow

Minimum Maximum Small 14,000 6,200 21,000 12,500 Medium Large 2,600 4,200

The production process consists of three primary activities: bending and forming, welding, and painting. The amount of time in minutes needed to process each product in each department is as follow

Minimum Maximum Small 14,000 6,200 21,000 12,500 Medium Large 2,600 4,200

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