A mall has 10,000 sq ft of space to rent and wants to determine the types of sto
ID: 2970289 • Letter: A
Question
A mall has 10,000 sq ft of space to rent and wants to determine the types of stores that should go in the mall.
The min number and max number of each type of store (along with sq ft of each type) is provided in Table 1.
Annual profit made by each type of store will depend on how many stores of that type are in the mall. This dependence is given in Table 2 (all profits are in units of $10,000).
Therefore, if there are 2 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 the mall. Formulate an IP whose solution will tell the mall how to maxmize rental income.
Table 1
Store Type
Square Footage
Minimum
Maximum
Jewelry
500
1
3
Shoe
600
1
3
Department
1500
1
3
Book
700
0
3
Clothing
900
1
3
Table 2
Number of Stores
Store Type
1
2
3
Jewelry
9
8
7
Shoe
10
9
5
Department
27
21
20
Book
16
9
7
Clothing
17
13
10
Store Type
Square Footage
Minimum
Maximum
Jewelry
500
1
3
Shoe
600
1
3
Department
1500
1
3
Book
700
0
3
Clothing
900
1
3
Explanation / Answer
A mall has 10,000 sq ft of space to rent and wants to determine the types of sto
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