A hardware distributor has regional warehouses at the locations shown be locate a new central distribution center to serve this warchouse netwark

Location $(x,y)$

$1,2,3$

$2,3,7$

$3,5,5$

$4,7,3$

$5,8,7$

If weekly shipments to each warehouse will be approximately equal, what is the optina lochan ty a distribution center?

$4,5$

$5,6$

$6,5$

$5,4$