Pleasre formulate a Linear program $/($MIP$)$

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 and maximum number of each type of store $($along with the

square footage of each type$)$ is given in the table below:

The annual profit made by each type of store will, of course, depend on how many stores of that

type are in the mall, see the table next $($all profits are units of $$10,000)$:

Each store pays $5\%$ of its annual profit as rent to Simon's. Formulate a model whose solution will

tell Simon's how to maximize rental income from the mall.