# Linear Integer Programming Model

The Livewright Medical Supplies company has a total of 12 salespeople it wants to assign to three regions the south, the east, and the Midwest. A salesperson in the south earns $600 in profit per month for the company, a salesperson in the east earns $540, and a salesperson in the Midwest earns $375. The southern region can have a maximum assignment of 5 salespeople. The company has a total of $ 750 per day available for expenses for all 12 salespeople, a salesperson in the south has an average expenses of $80 per day, a salesperson in the east has average expenses of 70$ per day, and a salesperson in the Midwest has average daily expenses of $50. The company wants to determine the number of salespeople to assign to each region to maximize profit.

A. Formulate an integer programming model for this problem

B. Solve model by using the computer.

https://brainmass.com/math/linear-programming/linear-integer-programming-model-288262

#### Solution Summary

Linear programming model is displayed in the attached file.