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. $$\begin{array} { c c } \text { Location } & ( \mathrm { x } , \mathrm { y } ) \\\hline \mathrm { A } & 2,3 \\\mathrm {~B} & 3,7 \\\mathrm { C } & 5,5 \\\mathrm { D } & 7,3 \\\mathrm { E } & 8,7\end{array}$$ Weekly shipments to each warehouse will be: WH1, 100; WH2, 150; WH3, 120; WH4, 150; and WH5, 120. What is the optimal location of the distribution center?

A)  5.1, 4.2
B)  5.2, 4.0
C)  5.1, 5.1
D)  4.2, 5.1
E)  4.9, 5.2