A Hardware Distributor Has Regional Warehouses at the Locations Shown

Multiple Choice

A hardware distributor has regional warehouses at the locations shown below. The company wants to locate a new central distribution center to serve this warehouse network. $$\begin{array} { c c } \text { Location } & ( \mathrm { x } , \mathrm { y } ) \\\hline \mathrm { A } & 2,3 \\\mathrm {~B} & 3,7 \\\mathrm { C } & 5,5 \\\mathrm { D } & 7,3 \\\mathrm { E } & 8,7\end{array}$$
If weekly shipments to each warehouse will be approximately equal, what is the optimal location for the distribution center?

A)  5, 5
B)  5, 4
C)  4, 5
D)  5, 6
E)  6, 5