Sunny Manufacturing is investigating which location would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries to maintain just-in-time production. 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. Which of these locations is best, based on rectilinear distances?
c. What are the coordinates of the centre of gravity?

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COORDINATES DELIVERIES PER DAY LOCATION (km) (100, 200) (400, 100) (100, 100)