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,...

















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.



Jun 05, 2022
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