To meet excess demand for the pizza home delivery services, ROFiL Pizza is planning to open new stores in various regions. The store locations that are under consideration and their coverage areas are given in the following table.
$$\begin{array} { | l | c | }
\hline \text { Store Location } & \text { Potential Areas Covered } \
\hline \text { L1 } & 3,4,6,8 \
\hline \text { L2 } & 1,5,9 \
\hline \text { L3 } & 1,4,7 \
\hline \text { L4 } & 2,6,7 \
\hline \text { L5 } & 3,4,9 \
\hline \text { L6 } & 2,7,9 \
\hline \text { L7 } & 4,8,9 \
\hline \text { L8 } & 1,2,5,6 \
\hline \text { L9 } & 3,6,8 \
\hline
\end{array}$$
Develop an integer optimization model that determines the minimum number of stores to open in order to meet the coverage demand.

Question

To meet excess demand for the pizza home delivery services, ROFiL Pizza is planning to open new stores in various regions. The store locations that are under consideration and their coverage areas are given in the following table.
​ $$\begin{array} { | l | c | } 
\hline \text { Store Location } & \text { Potential Areas Covered } \
\hline \text { L1 } & 3,4,6,8 \
\hline \text { L2 } & 1,5,9 \
\hline \text { L3 } & 1,4,7 \
\hline \text { L4 } & 2,6,7 \
\hline \text { L5 } & 3,4,9 \
\hline \text { L6 } & 2,7,9 \
\hline \text { L7 } & 4,8,9 \
\hline \text { L8 } & 1,2,5,6 \
\hline \text { L9 } & 3,6,8 \
\hline
\end{array}$$ ​
Develop an integer optimization model that determines the minimum number of stores to open in order to meet the coverage demand.

Quizplus · Accepted Answer

The Answer of To meet excess demand for the pizza home delivery services, ROFiL Pizza is planning to open new stores in various regions. The store locations that are under consideration and their coverage areas are given in the following table.
​ $$\begin{array} { | l | c | } 
\hline \text { Store Location } & \text { Potential Areas Covered } \
\hline \text { L1 } & 3,4,6,8 \
\hline \text { L2 } & 1,5,9 \
\hline \text { L3 } & 1,4,7 \
\hline \text { L4 } & 2,6,7 \
\hline \text { L5 } & 3,4,9 \
\hline \text { L6 } & 2,7,9 \
\hline \text { L7 } & 4,8,9 \
\hline \text { L8 } & 1,2,5,6 \
\hline \text { L9 } & 3,6,8 \
\hline
\end{array}$$ ​
Develop an integer optimization model that determines the minimum number of stores to open in order to meet the coverage demand.

To Meet Excess Demand for the Pizza Home Delivery Services