A milk processing factory is investigating which locations would best position its new plant relative to three important retail customers (located in cities A, B, and C). As shown in the table, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information:

a. Which of these three locations yields the smallest total travel distance, based on Euclidean distances?
b. Calculate the ideal location decision, based on rectilinear distances.
c. Identify the coordinates of the center of gravity.

Location A B C Coordinates (miles) (75, 150) (375, 50) (75,50) Deliveries per Day 80 40 30