The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub.
|
City
|
Map coordinates (x, y)
|
Shipping load (in tons)
|
|
A
|
(5, 10)
|
5
|
|
B
|
(10, 8)
|
10
|
|
C
|
(4, 6)
|
15
|
|
D
|
(6, 5)
|
8
|
Using the Centroid method, at what map coordinates should the central hub be located? Please provide at least one step of calculation for each of the two map coordinates of the centroid for full credit.