2. A contract dispute with the landlord prompted a multi-chain hospital to recon
ID: 454016 • Letter: 2
Question
2. 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
Straight Line distance between two points
dist((x, y), (a, b)) = (x1 - x2)² + (y1 - y2)²
Since minimum distance from warehouse is for Hospital H7 = 1.48. This should be the new location
Straight Line distance between two points
dist((x, y), (a, b)) = (x1 - x2)² + (y1 - y2)²
X2 Y2 Current Location 5.3 5.3 Hospitals X1 Y1 Distance H1 3 7 2.86 H2 9 4 3.92 H3 6 9 3.77 H4 3 9 4.36 H5 8 2 4.26 H6 4 1 4.49 H7 6 4 1.48 H8 5 7 1.73 H9 1 8 5.08 H10 4 6 1.48 H11 10 5 4.71 H12 12 3 7.08Related Questions
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