$8\mathrm{.}20$

$121110$

$987654321$

North Park $(500)$

Highway

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?