A package delivery service wants to build a new distribution centre in Calgary, Alberta. The location of the centre needs to be in the vicinity of Deerfoot Trail, Highway 22 and the Calgary Airport. The following table provides the coordinates of these three sites and the number of weekly packages. Deerfoot Trail Highway 22 Airport
X = 20 x = 26 x = 36
Y = 35 y = 13 y = 19
W = 16,000 W = 11,000 W = 8,000
The suggested coordinates for the new warehouse using the centre of gravity method are
A) x = 36.0 and y = 35.0
B) x = 27.3 and y = 22.3
C) x = 25.54 and y =24.4
D) x = 27.5 and y = 35.5

Question

Quizplus · Accepted Answer

The centre of gravity method takes into account both the coordinates and the weights (number of packages) of the three sites. The correct answer should be the weighted average of the x-coordinates and the y-coordinates of the three sites.x = (16000 * 36 + 11000 * 26 + 8000 * 36) / (16000 + 11000 + 8000) = 25.54y = (16000 * 35 + 11000 * 13 + 8000 * 19) / (16000 + 11000 + 8000) = 24.4

A Package Delivery Service Wants to Build a New Distribution