# Simon’s Mall has 10,000 sq ft

Simon’s Mall has 10,000 sq ft of space to rent and wants to determine the types of stores that should occupy the mall. The minimum number and maximum number of each type of store (along with the square footage of each type) is given in Table.

 Store Type Square Footage Minimum Maximum Jewelry 500 1 3 Shoe 600 1 3 Department 1,500 1 3 Book 700 0 3 Clothing 900 1 3

The annual profit made by each type of store will, of course, depend on how many stores of that type are in the mall. This dependence is given in Table (all profits are in units of \$10,000).

 Type of Store Number of Stores 1 2 3 Jewelry 9 8 7 Shoe 10 9 5 Department 27 21 20 Book 16 9 7 Clothing 17 13 10

Thus, if there are two department stores in the mall, each department store earns \$210,000 profit per year. Each store pays 5% of its annual profit as rent to Simon’s. Formulate an IP whose solution will tell Simon’s how to maximize rental income from the mall.

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