Klein Industries manufactures three types of air compressors: small, medium, and large, which have unit profits of $20.46, $34.28, and $16.22, respectively. The projected monthly sales are:
SMALL MW3IVM LARGE
Minimum 14,000 6,200 2,600 Maximum 21,000 12,500 4,200
The production process consists of three mg, an. 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 max-imize 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. `.'/.-The International Chef, Inc. markets three blends of oriental tea: premium, Duke Grey, and breakfast. The ruin uses tea leaves from India china anA flan—L.—az -