Median Method $-$ ExampleA new machine should be placed in the maintenance department.There are five machines that have material handling relationshipwith the new machine. Their current coordinates are M$,=(1,1),$M$,=(5,2),$ M$3=(2,8),$ M$4=(4,4)$ and Ms$=(8,6).$ The cost per unit distance traveled between the machines is the same, but the number of trips per day between the new machine and each existing machine are $5,6,2,4$ and $8.$ Find a location for the new machine in the maintenance department. Calculate total weighted distance for the new location. If the machine cannot be placed in the optimal location, find the second best alternative sites out of $(5,6),(4,2)$ and $(8,4).$Solve this question using Equivalent Linear Model for the Rectilinear Distance,Single$-$Facility Location Problem