Hi. Please give detailed and long explanation and solution in good form (graphing paper).

A company wants to determine where they should locate a new warehouse. They have two existing production plants (i.e., Plant A and Plant B) that will ship units of a product to this warehouse. Plant A is located at the (X, Y) coordinates of (50, 100) and will have volume of shipping of 250 units a day. Plant B is located at the (X, Y) coordinates of (150, 200) and will have a volume of shipping of 150 units a day. Using the centroid method, what are the X and Y coordinates for the new plant location?