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?
A) About 208
B) About 227
C) About 243
D) About 389
E) X coordinate cannot be computed from the data given.

Question

Quizplus · Accepted Answer

The centroid method involves finding the x and y coordinates of the center of mass of the two plants, weighted by their shipping volumes.

Let's first find the overall shipping volume:

400 units/day + 300 units/day = 700 units/day

Now we can find the x-coordinate of the center of mass:

[(400 units/day * 200) + (300 units/day * 300)] / 700 units/day ≈ 243

Therefore, the answer is choice C, about 243.

Plant a Is Located at the (X, Y) Coordinates of (200