A package delivery service wants to build a new distribution center in Boise, Idaho. The location of the center needs to be in the vicinity of Interstate-84, Highway-55 and the Boise Airport. The following table provides the coordinates of these three sites and the number of weekly packages. The suggested coordinates for the new warehouse using the center 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

A package delivery service wants to build a new distribution center in Boise, Idaho. The location of the center needs to be in the vicinity of Interstate-84, Highway-55 and the Boise Airport. The following table provides the coordinates of these three sites and the number of weekly packages.  The suggested coordinates for the new warehouse using the center 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

Quizplus · Accepted Answer

Using the center of gravity method, the suggested coordinates for the new warehouse can be calculated as follows:

x = (47.62 * 8000 + 43.54 * 5500 + 32.93 * 4000) / (8000 + 5500 + 4000) = 25.54
y = (116.26 * 8000 + 116.18 * 5500 + 89.67 * 4000) / (8000 + 5500 + 4000) = 24.4

Therefore, the best choice is C with the coordinates x = 25.54 and y = 24.4.

A Package Delivery Service Wants to Build a New Distribution