A Hardware Distributor Has Regional Warehouses at the Locations Shown

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

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