A contract dispute with the landlord prompted a multi-chain hospital to reconsid

Question

A contract dispute with the landlord prompted a multi-chain hospital to reconsider and optimize the location of their regional warehouse for medical supply materials to minimize the time for deliveries to their twelve hospitals in the region. The current warehouse is located at (5.3, 5.3). The coordinates of the hospitals in the region are given in the table below.

Table for Problem 2

Hospitals

X

Y

H1

3

7

H2

9

4

H3

6

9

H4

3

9

H5

8

2

H6

4

1

H7

6

4

H8

5

7

H9

1

8

H10

4

6

H11

10

5

H12

12

3

Determine the new location of warehouse by using the center-of-gravity method.

Table for Problem 2

Hospitals

X

Y

H1

3

7

H2

9

4

H3

6

9

H4

3

9

H5

8

2

H6

4

1

H7

6

4

H8

5

7

H9

1

8

H10

4

6

H11

10

5

H12

12

3

Explanation / Answer

In this case, Load (volume of supply) for each hospital is not given. so that is considered 1 for all. Therefore the centre of gravity of new warehouse will be simple average of the x and y coordinates respectively.

Cx = 5.92

Cy = 5.42

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