2. A small manufacturing facility is being planned that will feed parts to three (3) heavy manufacturing facilities. The location of their current plants with their coordinates and volume requirements are given in the following table:

Plant Location	Coordinates	Volume (Parts per Year)
Linden	300,320	4,000
Timehri	375,470	6,000
Georgetown	470,180	3,000

i. Using the Centroid Method and the information provided, determine the best location for this new facility. (12 marks)

ii. Is it more cost efficient to ship directly between Linden and Georgetown than to ship via warehouse near the Centroid? If so, why? (4 marks)

iii. How is this technique better than the factor rating method? (2 marks)

iv. What are the benefits of using this technique? (2 marks)