# Result

Below is the results obtained based on the Lingo software where the mathematical model was embodied in a whole programming model, for get the objective value of our function.

![](https://2572686366-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-Lj1MxDvUKWY654R_s1p%2F-Lj1Mz6ltII4pSRL6I6y%2F-Lj1NW6yR8-ZA03C9Rt7%2FCapture24.PNG?generation=1562334342363612\&alt=media)

The best cost found for the function of this problem is 265,283 USD.

![](https://2572686366-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-Lj1MxDvUKWY654R_s1p%2F-Lj1Mz6ltII4pSRL6I6y%2F-Lj1NW7-sy_G6KJWLTE3%2FCapture25.PNG?generation=1562334342311684\&alt=media)

Based on the best solution found in the model, the distribution of centers and the Distribution of the points is as follows.

The cities that will be destined are:

* Y1-Brossard
* Y2-Grandby
* Y9-Valleyfield

The connection they will have between her will be as follows.

* X13- The city of Brossard will attend to Brossard and Saint-Julie
* X23- The city of Grandby will attend Grandby and Sherbrooke
* X96- The City of Valleyfield will serve Valleyfield and Verdum.
