Magnesia Shopping Center has $\backslash (\backslash$mathbf$\{10,000\}\backslash )$ square meters of space to rent and wants to determine the types of stores that should occupy the shopping center. The minimum number and maximum number of each type of store $($along with the size $($in square meters$)$ of each type$)$ is given in the first table.

The annual profit made by each type of store will, of course, depend on how many stores of that type are in the shopping center. This dependence is given in the second table $($all profits are in units of $\backslash (10,000\backslash$mathrm$\{$TL$\}\backslash )).$ Thus, if there are two department stores in the mall, each department store earns $210,000$ TL profit per year. Each store pays $5\backslash \%$ of its annual profit as rent to Magnesia Management.

Formulate an integer program whose solution will tell Magnesia Management how to maximize rental income from the shopping center.