The Metropolis Public Library plans to expand with its first major branch library in the city's growing north side. The branch wi serve six census tracts. Here are the coordinates of each tract and the population within it: CENSUS TRACT CENTER OF TRACT POPULATION IN TRACT 503–Logan Square (3, 4) 45,000 519-Albany Park (4, 5) 25,000 522-Rogers Park (3, 6) 62,000 538–Kentwood (4, 7) 51,000 540-Roosevelt (2, 3) 32,000 561-Western (5, 2) 29,000 Using the center-of-gravity method, what should be the coordinate location of the branch library?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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The Metropolis Public Library plans to expand with its first major branch library in the city's growing north side. The branch wi
serve six census tracts. Here are the coordinates of each tract and the population within it:
CENSUS TRACT
CENTER OF TRACT
POPULATION IN TRACT
503–Logan Square
(3, 4)
45,000
519-Albany Park
(4, 5)
25,000
522-Rogers Park
(3, 6)
62,000
538–Kentwood
(4, 7)
51,000
540-Roosevelt
(2, 3)
32,000
561-Western
(5, 2)
29,000
Using the center-of-gravity method, what should be the coordinate location of the branch library?
Transcribed Image Text:The Metropolis Public Library plans to expand with its first major branch library in the city's growing north side. The branch wi serve six census tracts. Here are the coordinates of each tract and the population within it: CENSUS TRACT CENTER OF TRACT POPULATION IN TRACT 503–Logan Square (3, 4) 45,000 519-Albany Park (4, 5) 25,000 522-Rogers Park (3, 6) 62,000 538–Kentwood (4, 7) 51,000 540-Roosevelt (2, 3) 32,000 561-Western (5, 2) 29,000 Using the center-of-gravity method, what should be the coordinate location of the branch library?
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