$106$ A new hack ap power generator is so be located to serve a sotal of six preciaion machines in a manufacturing facility. Separate electrical cables are so be nan finan the remeralor to each machise. The locations of the six machines are $P_1=(0,0),P_2=60,,$ and $A_2=69,400.$ Desermise the location for the generator that will minimaze the socal required length of the clectrical cable. Baxume nectlinear diatance.