A Telecommunications Firm Is Planning to Lay Fiber Optic Cable

A telecommunications firm is planning to lay fiber optic cable from several community college distance learning sites to a central studio, in such a way that the miles of cable are minimized. Some locations require more than one set of cables (these are the loads). Where should the studio be located to accomplish the objective?
$$\begin{array} { | l | l | l | } \hline \text { College } & \text { Map Coordinate } ( x , y ) & \text { Load } \\\hline \text { A } & ( 2,10 ) & 3 \\\hline \text { B } & ( 6,8 ) & 2 \\\hline \text { C } & ( 4,9 ) & 4 \\\hline \text { D } & ( 9,5 ) & 1 \\\hline \text { E } & ( 8,1 ) & 3 \\\hline \text { F } & ( 3,2 ) & 2 \\\hline \text { G } & ( 2,6 ) & 1 \\\hline\end{array}$$