An analysis of sites for a distribution center has led to two possible sites $($L$1$ and L$2$ on the map$).$The sites are comparable on every key factor. The one remaining factor is the center of gravity.$$Use the center of gravity method to select the better site. Monthly shipments will be the quantities$$listed in the table.$$Destination Quantity$$D$1900$D$2300$D$3700$D$4600$D$51,200$