A small manufacturing facility is being planned that will feed parts to three $(3)$ heavy manufacturing facilities. The location of their current plants with their coordinates and volume requirements are given in the following table:i$.$ Using the Centroid Method and the information provided, determine the best location for the new facility being contemplated.Plant LocationCoordinatesVolume $($Parts per Year$)$Linden$300,3204,000$Timehri$375,4706,000$Georgetown$470,1803,000$a$.470,180$Ob$\mathrm{.}300,320.374,357$Od$.$None of the options given