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 y-coordinate of a facility to serve these customers (to two decimal places)?
A) 1.96
B) 1.56
C) 1.33
D) Cannot be determined from the information given

Question

Quizplus · Accepted Answer

To use the center-of-gravity technique, we need to calculate the weighted average of the x-coordinates and the y-coordinates.

Weighted average of x-coordinates:

(0*12 + 4*20 + 1*18) / (12 + 20 + 18) = 2.56

Weighted average of y-coordinates:

(0*12 + 3*20 + 1*18) / (12 + 20 + 18) = 1.56

Therefore, the y-coordinate of the facility to serve these customers would be 1.56.

The answer is B.

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