Chapter 5 6. The Livewright Medical Supplies Company has a totalof 12 salespeople it wants to assign to three regions the Souththe East and the Midwest. A salesperson in the South earns $600 inprofit per month of the company a salesperson in the East earns$540 and a salesperson in the Midwest earns $375. The southernregion can have a maximum assignment of 5 salespeople. The companyhas a total of $750 per day available for expenses for all 12salespeople. A salesperson in the South has average expenses of $80per day a salesperson in the East has average expenses of $70 perday and a salesperson in the Midwest has average daily expenses of$50. The company wants to determine the number of salespeople toassign to each region to maximize profit. a. Formulate an integerprogramming model for this problem b. Solve this model by using thecomputer.