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 Coordinate (x, y)
|
Shipping Load
|
|
A
|
(5, 10)
|
5
|
|
B
|
(6, 8)
|
10
|
|
C
|
(4, 9)
|
15
|
|
D
|
(9, 5)
|
5
|
|
E
|
(7, 9)
|
15
|
|
F
|
(3, 2)
|
10
|
|
G
|
(2, 6)
|
5
|
a) Near which map coordinates should the hub be located?
b) If the shipments from city A triple, how does this change the coordinates?