A city has three police stations, A, B, and C. The number of police officers in the stations is 3, 6, and 7, respectively. One day, the central dispatching center received 10 emergency calls. The travel time (in minutes) between the police stations and the emergency locations are shown as follows: 1 4 5 A 3.7 8.6 1.9 1.0 6.9 2.8 6.8 5.4 3.7 B 1.3 6.1 5.3 C 5.9 3.7 2.2 3.4 5.2 2.6 2 3 6 6 7 7 8 9 7.9 4.1 7.3 5.6 3.5 4.4 3.2 3.6 3.5 10 2.9 6.7 2.1 How should the police officers be dispatched in order to minimize the total response time?

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Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
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A city has three police stations, A, B, and C. The number of police officers
in the stations is 3, 6, and 7, respectively. One day, the central dispatching
center received 10 emergency calls. The travel time (in minutes) between
the police stations and the emergency locations are shown as follows:
1 2
3 4
6
7
8 9
10
А
3.7
8.6
2.8
1.9
1.0
6.9
7.9
4.1
7.3
2.9
В
1.3
6.1
6.8
5.4
3.7
5.3
5.6
3.5
4.4
6.7
C
5.9
3.7
2.2
3.4
5.2
2.6
3.2
3.6
3.5
2.1
How should the police officers be dispatched in order to minimize the
total response time?
Transcribed Image Text:A city has three police stations, A, B, and C. The number of police officers in the stations is 3, 6, and 7, respectively. One day, the central dispatching center received 10 emergency calls. The travel time (in minutes) between the police stations and the emergency locations are shown as follows: 1 2 3 4 6 7 8 9 10 А 3.7 8.6 2.8 1.9 1.0 6.9 7.9 4.1 7.3 2.9 В 1.3 6.1 6.8 5.4 3.7 5.3 5.6 3.5 4.4 6.7 C 5.9 3.7 2.2 3.4 5.2 2.6 3.2 3.6 3.5 2.1 How should the police officers be dispatched in order to minimize the total response time?
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