a) Given the following map of existing stores for Corporation Ltd. as shown in figure below, and noting that the volumes of product to be shipped to each store, from a proposed new distribution centre, are as shown in the table, use the 'centre of gravity' method to calculate the co-ordinates of the best location for this new distribution centre. North-South 120 90 60 30 Chicago (30, 120) Arbitrary origin Store Location Chicago Pittsburgh 30 New York Atlanta Atlanta (60, 40) 60 90 New York (130, 130) Pittsburgh (90, 110) 120 900 d₁x = 30 d₁y = 120 Q₁ = 2,000 850 1,800 150 Volume of product to be shipped to this store per month 2,300 East-West

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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a) Given the following map of existing stores for Corporation Ltd. as shown in figure below, and noting that the volumes of product to be shipped to each store, from a proposed new distribution centre, are as shown in the table, use
the 'centre of gravity' method to calculate the co-ordinates of the best location for this new distribution centre.
North-South
120
90
60
30
Chicago (30, 120)
Arbitrary
origin
30
Store Location
Chicago
Pittsburgh
New York
Atlanta
Atlanta (60, 40)
60
90
New York (130, 130)
Pittsburgh (90, 110)
120
900
850
d₁x
1,800
= 30
150
d₁y
Q₁ = 2,000
= 120
Volume of product to be
shipped to this store per month
2,300
East-West
Transcribed Image Text:a) Given the following map of existing stores for Corporation Ltd. as shown in figure below, and noting that the volumes of product to be shipped to each store, from a proposed new distribution centre, are as shown in the table, use the 'centre of gravity' method to calculate the co-ordinates of the best location for this new distribution centre. North-South 120 90 60 30 Chicago (30, 120) Arbitrary origin 30 Store Location Chicago Pittsburgh New York Atlanta Atlanta (60, 40) 60 90 New York (130, 130) Pittsburgh (90, 110) 120 900 850 d₁x 1,800 = 30 150 d₁y Q₁ = 2,000 = 120 Volume of product to be shipped to this store per month 2,300 East-West
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