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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