32 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 30. 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 31 (all profits are in units of $10,000). 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.