$Q3(25\%)$:

ShopRite plans $to$ open a new store $to$ serve $7$ towns $in$ New Jersey. Table below shows the necessary information for the $7$ towns. Cost $of$ traveling $to$ the store $is$ $$\frac{0\mathrm{.}2}{m}$ile $in$ New Jersey. Use Center $of$ Gravity method $to$ find the coordinates $of$ the new ShopRite store $so$ that the total traveling cost $to$ this new ShopRite store for all population $in$ the $7$ towns are the lowest.

$\begin{array}{cc}\text{T}\text{o}\text{w}\text{n}& \text{C}\text{o}\text{o}\text{r}\text{d}\text{i}\text{n}\text{a}\text{t}\text{e}(xY)\\ \text{P}\text{o}\text{p}\text{u}\text{l}\text{a}\text{t}\text{i}\text{o}\text{n}(000\text{'})& 1\\ 2\mathrm{.}54\mathrm{.}5& 40\\ 2& 2\mathrm{.}52\mathrm{.}5\\ 50& 3\\ 5\mathrm{.}54\mathrm{.}5& 200\\ 4& 52\\ 70& 5\\ 85& 75\\ 6& 72\\ 170& 7\\ 92\mathrm{.}5& 150\end{array}$