Problem: Joe's Sports Supplies Corporation is considering where to locate its warehouse in order to service its four stores in four towns: A, B, C, and D. Two possible sites for the warehouse are being considered, one in Jasper and the other in Longboat. The following table shows the coordinates for each of the four towns. Also shown are the loads between the warehouse and the four stores.
Town Coordinates (x, y) Load between City and at Warehouse (l)
A (4,18) 15
B (12,2) 10
C (10,8) 12
D (8,15) 8
Use the center of gravity method to determine coordinates for the warehouse.
(Round your answers to 1 decimal place, the tolerance is +/-0.1).