An air line company has drawn up a new flight schedule involving five flights. To assist in allocating five pilots to the flights , it has asked them to state their preference scores by giving each flight a number out of 10.The higher the number the greater is the preference. Certain of these flights are unsuitable to some pilots owing to domestic reasons. These have been marked with a X. Flight number 1 4 5 A 8 2 4 Pilot 10 9 8. 4 C 9. 6. X D 3 6. 2 8 7 10 4 3 What should be the allocation of the pilots to flights in order to meet as many preferences as possible?

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Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
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Оuestion No 1
An air line company has drawn up a new flight schedule involving five flights. To assist in
allocating five pilots to the flights , it has asked them to state their preference scores by
giving each flight a number out of 10.The higher the number the greater is the preference.
Certain of these flights are unsuitable to some pilots owing to domestic reasons. These have
been marked with a X.
Flight number
1
3
4
A
8.
4
Pilot
В
10
9.
2
8
4
C
5
4
9.
6.
D
3
6.
8
7
E
5
6.
10
4
3
What should be the allocation of the pilots to flights in order to meet as many preferences as
possible?
Transcribed Image Text:Оuestion No 1 An air line company has drawn up a new flight schedule involving five flights. To assist in allocating five pilots to the flights , it has asked them to state their preference scores by giving each flight a number out of 10.The higher the number the greater is the preference. Certain of these flights are unsuitable to some pilots owing to domestic reasons. These have been marked with a X. Flight number 1 3 4 A 8. 4 Pilot В 10 9. 2 8 4 C 5 4 9. 6. D 3 6. 8 7 E 5 6. 10 4 3 What should be the allocation of the pilots to flights in order to meet as many preferences as possible?
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