Linear Optimization

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Klein Industries manufactures three types of portable air compressors: small, medium, and large, which have unit profits of $20.50, $34.00, and $42.00, respectively. The projected monthly sales are:

 

 Small Medium Large
Minimum1400062002600
Maximum21000125004200

 

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 shown below:

 

 SmallMedium LargeAvailable Time
Bending/forming0.40.70.823,400
Welding0.611.223,400
Painting1.42.63.146,800

 

How many of each type of air compressor should the company produce to maximize profit?

 

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

b. Solve the model without the auxiliary variables and explain the relationship between the reduced costs and the shodow prices found in part a.

    • Posted: 7 years ago
    • Due: 
    • Budget: $20
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      13-7. Klein Industries manufactures three types of portableair compressors: small, medium, and large, which haveunit profits of $20.50, $34.00, and $42.00, respectively.

    • Klein Industries manufactures three types of portable air compressors: small, medium, and large, which have unit profits of $20.50, $34.00, and $42.00, respectively. The projected monthly sales are:

    • Klein Industries manufactures three types of portableair compressors: small, medium, and large, which haveunit profits of $20.50, $34.00, and $42.00, respectively.The …

    • 13-7. Klein Industries manufactures three types of portableair compressors: small, medium, and large, which haveunit profits of $20.50, $34.00, and $42.00, respectively.The …

    • SolveProblem and Applications: The data is given as part of the question. There is no external data set provided. Use what is given by the problem.

      13-7. Klein Industries …

    • 13-7. Klein Industries manufactures three types of portableair compressors: small, medium, and large, which haveunit profits of $20.50, $34.00, and $42.00, respectively.The projected monthly sales …

    • 3-7. Klein Industries manufactures three types of portable air compressors: small, medium, and large, which have unit profits of $20.50, $34.00, and $42.00, respectively. The projected monthly sales …

    • Klein Industries manufactures three types of portableair compressors: small, medium, and large, which haveunit profits of $20.50, $34.00, and $42.00, respectively.The projected …

    • the tutorial videos on the internet but just want to get a better guideline for the correct answer. Here is the assignment that I am working on.
      3-7. Klein Industries manufactures three types of …

    • 13-7. Klein Industries manufactures three types of portableair compressors: small, medium, and large, which haveunit profits of $20.50, $34.00, and $42.00, respectively.The projected monthly sales …