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. $$\begin{array} { l l } \text { Location } & ( \mathrm { x } , \mathrm { y } ) \\\hline 1 & 2,3 \\2 & 3,7 \\3 & 5,5 \\4 & 7,3 \\5 & 8,7\end{array}$$ 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