Solve the model | Mathematics homework help
Solve Problem 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.
Small Medium Large
Minimum 14,000 6,200 2,600
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:
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. Here is a You Tube link you could view: http://www.youtube.com/watch?v=Oyc0k9kiD7o