$4.$ Everett Electronics has several production facilities scattered throughout the Midwestern United States. The company is looking to establish a distribution center to ship its products to Best Buy $($Richfield$,$ MN$),$ Wal$-$Mart, and other retailers that sell electronic products in the cities listed in Table $3\mathrm{.}4.$ The location coordinates of these cities and the shipping loads to these cities are also shown. Compute the center$-$of$-$gravity location for the proposed new distribution center. $(5$ points$)$

Table $3\mathrm{.}4.$ Cities and Location Coordinates

City Map Coordinates $($x$,$y$)$ Shipping Load

A $(2,2)25$

B $(3,12)12$

C $(4,14)7$

D $(8,8)22$

E $(9,18)16$

F $(13,16)11$

G $(15,4)18$

H $(17,17)21$