A manufacturer produces widgets at four locations. The location of a central warehouse must now be chosen. A coordinate system for the four locations and weekly quantities to be shipped to each location are shown in the following table. Complete the table and then use the centre of gravity method to determine the coordinates of the location that will minimize total transportation cost.. Location X Weekly XxQ Q y Quantity, Q y A 2 4 10 B 4 1 20 5 7 35 D 7 4 35 Total Location X Weekly y Quantity, Q XQ yQ A 2 4 10 B 4 20 C 7 35 D 7 4 35 Total