Question

Need to see step by step solutions Please:

Solve **Problem and Applications**: ch 13- prob 7
[Klein Industries manufactures three types of portable air
compressors] in page 451 at the end of chapter 13 in your textbook,
USA 5th edition. The data is given as part of the question. There
is no external data set provided. Use what is given by the problem.
**You need to submit a formal APA paper to explain all your
findings together with your Excel Worksheet to demonstrate you have
set up the Solver correctly. In the paper, you also need to explain
how you set up the LP model to solve this case
study.**

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

Answer #1

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