Solve the model without the auxiliary variables
PLEASE PLEASE I KNOW YOU PROBABLY ALREADY KNOW WHAT TO DO BUT BE AS CLOSE AS POSSIBLE TO THE RUBRIC AND EXAMPLE BELOW PLEASE!!!! I NEED GOOD GRADE
13-7. 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 are:
Small Medium Large
Minimum 14,000 6,200 2,600
Maximum 21,000 12,500 4,200
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:
Small Medium Large Available Time
Bending/forming 0.4 0.7 0.8 23,400
Welding 0.6 1.0 1.2 23,400
Painting 1.4 2.6 3.1 46,800
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
sensitivity information.
b. Solve the
model without the auxiliary variables and explain the relationship
between the reduced costs and the shadow prices found in part a.
Solution Tip: You must use
Solver tool in Excel. Set your constraints right, and fill in the solver
dialogue box properly. Be sure to review links provided in the last
lesson, or in one of the announcements in the first week of class. Here
is a You Tube link you could view: http://www.youtube.com/watch?v=Oyc0k9kiD7o
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