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.

---

Definitions:

Secretary Of State

A senior official of the federal government, responsible for the foreign affairs of the United States.

Sandinista Regime

Describes the government led by the Sandinista National Liberation Front in Nicaragua from 1979 to 1990, known for its socialist policies and conflict with U.S.-backed Contras.

Racial Hierarchy

A system of classifying people based on race, in which races are placed in a hierarchy of superiority and inferiority, historically used to justify unequal treatment and discrimination.

Anthropology

The study of human societies, cultures, and their development.