Plant A is located at the (X,Y)coordinates of (200,500)and has a volume of shipping of 400 units a day.Plant B is located at the (X,Y)coordinates of (300,100)and has a volume of shipping of 300 units a day.Using the centroid method,which of the following is the X coordinate for the new plant location?

Question

Quizplus · Accepted Answer

The centroid method considers both the distance and the volume of shipping for each plant. The X-coordinate of the new plant location is given by the formula:

X = (Σ(xi*vi)) / Σvi

where xi is the X-coordinate of each plant and vi is the volume of shipping for each plant.

For plant A, X = 200 and v = 400.
For plant B, X = 300 and v = 300.

Plugging these values into the formula, we get:

X = ((200*400) + (300*300)) / (400 + 300) = 243.33

Rounding to the nearest integer, we get the correct answer of C: About 243.

Plant a Is Located at the (X,Y)coordinates of (200,500)and Has