Linear Optimization
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 | 14000 | 6200 | 2600 |
| Maximum | 21000 | 12500 | 4200 |
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 | 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 sensitive information.
b. Solve the model without the auxiliary variables and explain the relationship between the reduced costs and the shodow prices found in part a.
.awasam-promo {
background-color: #9ED5EA;
color: white;
text-align: center;
padding: 10px;
}
.button {
background-color: #4CAF50;
border: none;
color: white;
padding: 10px 20px;
text-align: center;
text-decoration: none;
display: inline-block;
font-size: 16px;
margin: 4px 2px;
cursor: pointer;
border-radius: 10px;
}
.awasam-alert {
color: red;
}
“Get 15% discount on your first 3 orders with us”
Use the following coupon
FIRST15
Order Now
The post Linear Optimization appeared first on Savvy Essay Writers.
