Rauschenberg Manufacturing is investigating which locations 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. Management limited the search for this plant to those three locations and compiled the following information:
Location Deliveries per day x-coordinate y-coordinate
A 3 100 100
B 6 400 200
C 5 200 400
a) Which of these three locations yields the smallest total travel distance, based on Euclidean distances?
Location xxx yields the shortest travel (transportation) distance of xxx miles. (Enter your response rounded to one decimal place.)
b) Which of these three locations is best, based on rectilinear distances?
Location xxx is the best, yielding a travel (transportation) distance of xxx miles? (Enter your response as a whole number.)
c) What are the coordinates of the center of gravity?
The centervof gravity is x* = xxx miles, y* = xxx ?miles (Enter your responses rounded to one decimal place.)