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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. What type of integer programming model it is

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