A company wants to determine where it should locate a new warehouse. It has 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 $(60,80)$ and will have volume of shipping of $250$ units a day. Plant B is located at the $($X$,$ Y$)$ coordinates of $(150,240)$ and will have a volume of shipping of $150$ units a day. Using the centroid method, which of the following are the X and Y coordinates for the new plant location?

Group of answer choices

X and Y coordinates cannot be computed from the data given

About $(81,117)$

About $(117,102)$

About $(94,140)$

About $(76,123)$