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$\frac{2}{2}$

$91\%$

any additional parameters you introduce.

Problem $3$

A convenience store chain is planning to enter a growing market and must determine where to open several new stores. The map shows the major streets in the area being considered.

Adjacent streets are $1$ mile apart. The symbol X indicated possible store locations. All travel must follow the street network, so distance is determined with a rectilinear metric. For instance, the distance between A$1$ and C$2$ is $3$ miles. Set up an integer linear program that can be used to find the optimal store locations. Use the following data and restrictions:

$\backslash$table$[[$Location$,1,2,3,4,5,6,7,8,9,10],[$Cost$,100,80,90,50,80,90,,70,90,80]]$

No two stores selected can be placed on the same street $($either north$-$south or east$-$west$).$

Stores must be at least $3$ miles apart. Stores exactly $3$ miles apart are acceptable.

Every grid point $(A1,B2,$etc $)$ must be no more than $3$ miles from a store.

Formulate an ILP that determines the location of the stores to minimize its costs.