The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to three regionsthe South, the East, and the Midwest. A salesperson in the South eans $600 in profit per month for the company, a salesperson in the East eams $540, and a salesperson in the Midwest eams $375. The southem region can have a maximum assignment of 5 salespeople. The.company has a total of $750 per day available for expenses forall 12 salespeople. A salesperson in the South has average expenses of $80 per day, a salesperson in the East has average expenses of $70 pér day, and a salesperson in the Midwest has average daily expenses of $50. The company wants to detemine the number of salespeople to assign to each region to maximize profit. a. Fomulate an integer programming model for this problem. b. Solve this model by using the computer.

Question 4:  A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Spanish, and 11 want to take Latin. Five say they want to take both French and Latin, and of these, 3 wanted to take Spanish as well. Five want only Latin, and 8 want only Spanish. Find: How many students want French only?