The volunteer fire department serving the communities in Figure 1 has only two fire trucks. 33...

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The volunteer fire department serving the communities in Figure 1 has only two fire trucks. 33 B 2 F 19 18 22 29 D Ε I 21 24

a) Select all possible pairs of communities in which the two fire trucks could be located to ensure that all communities can

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Answer 1

Answer #1

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a.

Distance between the communities and the fire truck location areas has shown in the following table

Communities Fire Truck Location A B с D E F G A 19 21 E 29 18 28 F 33 18 31 с 21 24 А 19 21 G 30 28 31 D 24 29 30 B 19 33

In the above table the four types of pair of locations are shown with different colors where the fire trucks can be place (All the tabular values are less than 34 mins)

B.

The following could be used to select the better location for placing the fire trucks:

- The selected fire truck location should able to cover at least 3 locations

- The assigned locations should able to cover the locations as much as possible

- The total sum of travelling time from assigned location to other locations should be as small as possible

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Answer 2

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