$2.(12$ points$)$ A wholesaler is considering where to locate its warehouse to serve its four retail stores: R$1,$ R$2,$ R$3,$ and R$4.$ The two potential sites for the warehouse are W$1$ and W$2.$ The table below displays the truckload information, the coordinates for store locations and potential warehouse sites.LocationX coordinateY coordinateLoadsR$12418300$R$22025250$R$31218200$R$42411350$ W$11522$ W$22614($a$)$ Calculate the total load$-$distance score for each potential warehouse site. $(6$ points$)($b$)$ Based on the load$-$distance score, where should the new warehouse be located? $(2$ points$)($c$)$ If the Center of Gravity approach is used, what will be the map coordinates for the new warehouse? $(4$ points$)$