Please provide all work necessary.

31. 6.1 Using the following information about material volume shipped from a factory to four retail outlets, find the best location for the factory using the center of gravity method. Retail Outlet Location Coordinates Material Movement 1 18,6 1,000 2 12.15 2,100 3 7, 10 1,900 4 7.20 3,200 Use the center-of-gravity method to determine an ideal location for a service center