Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers(located in citiesA, B, andC). As shown in the tablebelow, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the followinginformation:

Location	Coordinates (miles)	Deliveries per day
A	(100, 200)	8
B	(400, 100)	4
C	(100, 100)	3

a. Which of these three locations yields the smallest total travel distance, based on Euclidean distances?

b. Which of these locations is best, based on rectilinear distances?

c. What are the coordinates of the center of gravity?