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 A B C Coordinates (miles) (200,100) (400,200) (300,100) Deliveries per day 5 7 9 a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 100P
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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
A
B
C
Coordinates (miles)
(200,100)
(400,200)
(300,100)
a. Which of these three locations yields the smallest load-distance score, based on
Euclidean distances?
Location
one decimal place.)
b. Which of these locations is best, based on rectilinear distances?
yields the smallest load-distance score of
Location
whole number.)
c. What are the coordinates of the center of gravity?
is the best, yielding a load-distance score of
*
The center of gravity is x =
decimal place.)
*
Deliveries per day
miles, y
=
5
7
9
(Enter your response rounded to
(Enter your response as a
miles. (Enter your responses rounded to one
Transcribed Image Text: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 A B C Coordinates (miles) (200,100) (400,200) (300,100) a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances? Location one decimal place.) b. Which of these locations is best, based on rectilinear distances? yields the smallest load-distance score of Location whole number.) c. What are the coordinates of the center of gravity? is the best, yielding a load-distance score of * The center of gravity is x = decimal place.) * Deliveries per day miles, y = 5 7 9 (Enter your response rounded to (Enter your response as a miles. (Enter your responses rounded to one
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