Posted: November 24th, 2023
only except please if you understand and can do with solver tool and memo
Assessment Brief
PLEASE PLEASE BE AS CLOSE AS POSSIBLE TO THE 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
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:
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
https://www.dropbox.com/s/tuipc31yd3geulk/2013-09-22%2010.05%20BUSN625.wmv
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Given that many of you had issues
downloading and setting up Premium Solver's 15-day trial version, I will give
you full credit for the homework assignment if you do the following:
Correctly set up and solve the Excel optimization
problem that will result in the correct production decision and profit
maximization. Please remember that you must include your Excel
spreadsheet in your submission.Draft a managerial memo (either in MS Word or MS Excel)
that will discuss: Profit optimization decision and the number of units
produced.Binding constraints of your production process.Managerial actions that should be taken in the future
to increase maximum profits (these should be based on your binding
constraints - e.g., can you increase capacity of your plant to eliminate
bottlenecks?)If you are able to provide
sensitivity and shadow price analysis, you will receive extra credit - up to 15
additional points.
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