Six housing subdivisions within Sepang district are targeted for emergency service by a centralized fire station. The centroid locations (in km) and total value of the house in the subdivisions are presented in Table Q5. The cost per unit distance traveled is same for each subdivision. a) Propose the location for the fire station be located which minimizes the maximum rectilinear travel distance? Give the maximum distance. b) Propose the location for the fire station which minimizes the total cost. Evaluate the total cost if the fire station is built there. Table Q5 Total Value (in RM millions) Subdivision x-Coordinate y-Coordinate

Six housing subdivisions within Sepang district are targeted for emergency service by a centralized fire station. The centroid locations (in km) and total value of the house in the subdivisions are presented in Table Q5. The cost per unit distance traveled is same for each subdivision. a) Propose the location for the fire station be located which minimizes the maximum rectilinear travel distance? Give the maximum distance. b) Propose the location for the fire station which minimizes the total cost. Evaluate the total cost if the fire station is built there. Table Q5 Total Value (in RM millions) Subdivision x-Coordinate y-Coordinate

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Six housing subdivisions within Sepang district are targeted for emergency service by a
centralized fire station. The centroid locations (in km) and total value of the house in the
subdivisions are presented in Table Q5. The cost per unit distance traveled is same for each
subdivision.
a) Propose the location for the fire station be located which minimizes the maximum
rectilinear travel distance? Give the maximum distance.
b) Propose the location for the fire station which minimizes the total cost. Evaluate the
total cost if the fire station is built there.
Table Q5
Total Value (in
RM millions)
Subdivision x-Coordinate y-Coordinate
A
20
15
25
25
12
13
32
10
25
14
25
E
4
21
30
F
18
8
47
D.

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