You are responsible for locating a new warehouse that services five stores (1 th

Question

You are responsible for locating a new warehouse that services five stores (1 through 5). Use the Weighted Center-of-Gravity technique to calculate the weighted average location of the new warehouse based of the five stores locations and monthly volumes.

North Location (miles)

East Location (miles)

Monthly Volume (tons)

1

23

55

50

2

15

37

120

3

8

10

10

4

1

2

40

5

(5)

(10)

60

please if you have to explain any point please do it. thanks

store

North Location (miles)

East Location (miles)

Monthly Volume (tons)

1

23

55

50

2

15

37

120

3

8

10

10

4

1

2

40

5

(5)

(10)

60

Explanation / Answer

X = 23(50) + 15 (120) + 8 ( 10) + 1(40) + 5(60) / ( 50+120+10+40+60)

X = 3370/280

X = 12.03

Y = 55 X 50 + 37 X 120 + 10 X 10 + 2 X 40 +10 X 60 / 280

Y = 28.46

The location coordinates are ( 12.03 , 28.46) and the suitable store that is closest to the location co-ordinates is store 2 .

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