A town administrator is interested in locating a facility that is central to everyone. Although weighted distance is important, the administrator has expressed interest in minimizing the distance to the furthest demand point in the town. Since the town is arranged along a grid network of roads, the administrator is happy with using the rectilinear distance measure. Formulate a model to find the optimal location of the facility. Note that this type of problem is called a center problem, and the administrator is interested in finding the one$-$center location using rectilinear distance measure.