1. Kmart plans to expand with its first northern region distribution centre in the city's growing north side. The branch will serve six census tracts. Here are the coordinates of each tract and the population within it: CENSUS TRACT CENTER OF TRACT POPULATION IN TRACT А (3,4) 45,000 В (4,5) 25,000 C (3,6) 62,000 (4,7) 51,000 E (2,3) 32,000 F (5,2) 29,000 Using the center-of-gravity method, what should the coordinate location of the northern region distribution centre of Kmart?
1. Kmart plans to expand with its first northern region distribution centre in the city's growing north side. The branch will serve six census tracts. Here are the coordinates of each tract and the population within it: CENSUS TRACT CENTER OF TRACT POPULATION IN TRACT А (3,4) 45,000 В (4,5) 25,000 C (3,6) 62,000 (4,7) 51,000 E (2,3) 32,000 F (5,2) 29,000 Using the center-of-gravity method, what should the coordinate location of the northern region distribution centre of Kmart?
Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Transcribed Image Text:1. Kmart plans to expand with its first northern region distribution centre in the
city's growing north side. The branch will serve six census tracts. Here are the
coordinates of each tract and the population within it:
CENSUS TRACT
CENTER OF TRACT
POPULATION IN
TRACT
А
(3,4)
45,000
В
(4,5)
25,000
C
(3,6)
62,000
(4,7)
51,000
E
(2,3)
32,000
F
(5,2)
29,000
Using the center-of-gravity method, what should the coordinate location of the
northern region distribution centre of Kmart?
Expert Solution
Step 1 Given Data
| SENSUS TRACT | CENTER OF TRACT () |
POPULATION IN TRACK() |
| A |
(3,4) |
45,000 |
| B | (4,5) | 25,000 |
| C | (3,6) | 62,000 |
| D | (4,7) | 51,000 |
| E | (2,3) | 32,000 |
| F | (5,2) | 29,000 |
Step 2 Centre of Gravity
By the Centre of Gravity Method
= x coordinate of the centre of gravity
= y coordinate of centre of gravity
The formula for Calculating The Centre of Gravity can be given by:-
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