$3.$ A producer of action figures is in a quandary about where to locate a central warehouse that will serve all of their regional centers for the coming millennium. They have predicted average annual demands for the following locations in the table.

Location Demand X$-$Coordinate Y$-$Coordinate

Gotham City $20098$

Metropolis $50075$

Central City $80055$

Gateway City $60005$

Capitol City $15086$

Where should they locate their central warehouse?