Two plants are to serve three market points through one warehouse. Volume flowing either to or from each point and the associated transportation rates are given as follows:

Point (i)	Volume Vi (cwt.)	Transportation rate Ri ($/cwt./mi.)	Xi	Yi
P1	5000	0.040	3	8
P2	7000	0.040	8	2
M1	3500	0.095	2	5
M2	3000	0.095	6	4
M3	5500	0.095	8	8

Using the center-of-gravity method, find the optimal location for a warehouse and state the coordinates of the location.