# Klein Industries Linear Programming model formulations and solutions using solver

Question # 00160003 Posted By: OptimizeSolver Updated on: 12/27/2015 09:44 PM Due on: 12/31/2015
Subject Mathematics Topic Linear Systems Tutorials:
Question

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

small medium large

Minimum 14,000 6,200 2,600

Maximum 21,000 12,500 23,400

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 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.

Tutorials for this Question
1. ## Solution: Linear Programming EXCEL SOLVER AND WORD file also attached. BEST SOLUTION

Tutorial # 00154544 Posted By: OptimizeSolver Posted on: 12/27/2015 09:56 PM
Puchased By: 2
Tutorial Preview
The solution of Linear Programming EXCEL SOLVER AND WORD file also attached. BEST SOLUTION...
Attachments
auxiliary_variables_solution.xlsx (15.98 KB)
Excel_Solver_and_report.docx (1007.53 KB)
extra_sheet.docx (13.18 KB)
without_auxiliary_variables_solution.xlsx (15.42 KB)

Great! We have found the solution of this question!