# The Avalon Floor Cleaner Company is trying to determine the number of salespeople it should allocate to

## Question:

Region ...... Units per Salesperson

East ....... 25,000

Midwest ...... 18,000

West ........ 31,000

Because travel distances, costs of living, and other factors vary among the three regions, the annual cost of having a salesperson is $5,000 in the East, $11,000 in the Midwest, and $7,000 in the West. The company has $700,000 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 total average units sold. Formulate an integer programming model for this problem and solve it by using the computer.

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