A Store Is Offering a Discount on 800 Pairs of Basketball

question 55

Essay

A store is offering a discount on 800 pairs of basketball shoes. The amount of the discount varies and is not revealed to the customer until checkout. The distribution of discounts is given in the below table.
​ $$\begin{array} { | l | c | } \hline \text { Store Location } & \text { Potential Areas Covered } \\\hline \text { L1 } & 3,4,6,8 \\\hline \text { L2 } & 1,5,9 \\\hline \text { L3 } & 1,4,7 \\\hline \text { L4 } & 2,6,7 \\\hline \text { L5 } & 3,4,9 \\\hline \text { L6 } & 2,7,9 \\\hline \text { L7 } & 4,8,9 \\\hline \text { L8 } & 1,2,5,6 \\\hline \text { L9 } & 3,6,8 \\\hline\end{array}$$ ​
Formulate an integer programming model that could be used to find the minimum number of stores to open in order to cover customers of all areas for the home delivery service.

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Definitions:

Accounting Role

The function or position that involves recording, summarizing, and reporting financial transactions to ensure accurate financial management and compliance with accounting standards.

Economic Condition

The state of a country or region's economy at a given time, including factors like growth rate, inflation, and unemployment.

Revenue Excess

Typically refers to the situation where the revenues exceed the expenses within a given period, leading to a positive income.

Expenses Incurred

Costs that have been realized in the course of business operations, regardless of payment status.