Question

9. Environmental Glass Products, Inc. wants to build a new centralized facility to receive household, commercial, and industrial glass for recycling. This center will be supplied by trucks coming from four "collection points," where recyclable glass is dropped off by individuals and businesses. The volume and the map coordinates for the four collection centers are shown below. Where should the collection center be located?

Collection point Load (X,Y) Coordinates
A 9,000 (4,8)
B 4,000 (7,2)
C 2,000 (4,1)
D 5,000 (7,3)

Answer 1

the collection center should be located at Collection Option (D).

Explanation:

To determine the best location for the collection center, you can calculate the average coordinates of the four collection points and choose the location that is closest to this average.

To calculate the average coordinates, you can add the coordinates of each collection point and divide the result by the number of collection points. For example, to find the average X coordinate, you can add the X coordinates of all four collection points and divide by 4. Similarly, to find the average Y coordinate, you can add the Y coordinates of all four collection points and divide by 4.

Using this method, the average coordinates for the four collection points are (5.75,3.25). The collection point that is closest to these average coordinates is Collection Point D, which is located at (7,3). Therefore, the collection center should be located at Collection Point D.

I hope this helps to clarify the process for determining the best location for the collection center. Please let me know if you have any other questions.