A company is trying to determine the number of salespeople it should allocate to its three regions - the east, the Midwest, and the west. The company has 100 salespeople that it wants to assign all 100 salespeople to the three regions. The number of products sold by a sales person in each region is as follows:

Region

Number of products sold per sales person

East 25000

Midwest 18000

west 31000

Because travel distance, cost of living, and other factors vary among the three regions, the annual cost of having a salesperson is $5000 in the east, $11000 in the Midwest, and $7000 in the west. The company has $700000 budgeted for expenses. To ensure nationwide exposure for its product, the company has decided that each region must have at least 10 salespeople. The company wants to know how many salespeople to allocate to each region to maximize the total number of products sold.

Which of the following options are correct constraints? xirepresents number of salespeople assigned to region i. i = 1, 2, 3 correspond to region east, midwest, west.

x1+x2+x3100; 5000x1+11000x2+7000x3700000; x110; x210; x310; x1, x2, x3 0 and integers

x1+x2+x3=100; 5000x1+11000x2+7000x3700000; x110; x210; x310; x1, x2, x3 0 and integers

x1+x2+x3=100; 5000x1+11000x2+7000x3700000; x110; x210; x310; x1, x2, x3 0

x1+x2+x3=100; 5000x1+11000x2+7000x3700000; x110; x210; x310; x1, x2, x3 0 and integers

the maximized number of products sold is _____.xirepresents number of salespeople assigned to region i. i = 1, 2, 3 correspond to region east, midwest, west.

Variable Cells

Name Original Value Final Value Integer

x1 0 20 Integer

x2 0 10 Integer

x3 0 70 Integer