A textbook publishing company has developed two new sales regions and is planning to transfer some of its existing sales force into these two regions.the company has 10 salespeople available for the transfer.because of the different geographic configurations and the location of schools in each region,the averages annual expenses for a salesperson differ in the two regions;the average is $10000 per salesperson in region 1 and $7000 per salesperson in region 2.the total annual expense budget for the new regions is $72000 .It is estimated that a salesperson in region 1 will generate an average of 85000 in sales each year ,and a sales in region 2 will generate $60000 annually in sales.the company wants to know how many salespeople to transfer into each region to maximize increased sales

the formulate integer programming model is presented as follow

maximize z=85000x1+60000x2

subject to:

x1+x2<=10 sales people

10000x1+7000x2<=72000

x1,x2b>=0 and integer