Question

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	Coordinates (miles)	Deliveries per day
A	(300,300)	5
B	(500,200)	3
C	(300,100)	6

a) Which of these three locations (A, B or C) yields the smallest total trael distance, based on Euclidean distances?

-Location ___ yields the shortest travel (transportation) distance of ________ miles. (Enter your response rounded to one decimal place).

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

-Location ___ is the best, yielding a travel (transportation) distance of _________ miles. (Enter your response as a whole number).

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

-The center of gravity is x * = _____ miles, y * = _____ miles. (Enter your response rounded to one decimal place).

Please show all work step-by-step.

Answer 1