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 ​(200​,300​) 3 B ​(500​,200​) 7 C ​(300​,100​) 2 a. Which of these three locations yields the smallest​ load-distance score, based on Euclidean​ distances?   Location ▼   A B C yields the smallest​ load-distance score of nothing. ​(Enter your response rounded to one decimal​ place.) b. Which of these locations is​ best, based on rectilinear​ distances?   Location ▼   A B C is the​ best, yielding a​ load-distance score of nothing. ​(Enter your response as a whole​ number.) c. What are the coordinates of the center of​ gravity?   The center of gravity is x*=nothing ​miles, y*=nothing miles. ​(Enter your responses rounded to one decimal​ place.)   Enter your answer in each of the answer boxes.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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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
Coordinates​ (miles)
Deliveries per day
A
​(200​,300​)
3
B
​(500​,200​)
7
C
​(300​,100​)
2
a. Which of these three locations yields the smallest​ load-distance score, based on Euclidean​ distances?
 
Location
 
A
B
C
yields the smallest​ load-distance score of
nothing.
​(Enter your response rounded to one decimal​ place.)
b. Which of these locations is​ best, based on rectilinear​ distances?
 
Location
 
A
B
C
is the​ best, yielding a​ load-distance score of
nothing.
​(Enter your response as a whole​ number.)
c. What are the coordinates of the center of​ gravity?
 
The center of gravity is
x*=nothing
​miles,
y*=nothing
miles. ​(Enter your responses rounded to one decimal​ place.)
 
Enter your answer in each of the answer boxes.
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