For Klein Industries (Problem 13.49), formulate and solve a linear optimization model using the auxiliary variable cells

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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 

 

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 

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