There are three customer locations with x- and y-coordinates of (0, 0), (4, 3), and (1, 1), respectively. The customers have a projected shipment volume of 12, 20, and 18, respectively. Using the center-of-gravity technique, what is the x-coordinate of a facility to serve these customers (to two decimal places)?
A) 1.96
B) 1.56
C) 1.67
D) Cannot be determined from the information given

Question

Quizplus · Accepted Answer

The center of gravity is calculated as (Σx * V) / ΣV and (Σy * V) / ΣV, where x and y are the coordinates of the customers, and V is the shipment volume. In this case, the x-coordinate of the center of gravity is (0*12 + 4*20 + 1*18) / (12 + 20 + 18) = 1.96.

There Are Three Customer Locations with X- and Y-Coordinates of (0