An airline 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 -.     Flight Number       Pilot I II III IV V A 8 2 - 5 4 B 10 9 2 8 4 C 5 4 9 6 - D 3 6 2 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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An airline 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 -.

    Flight Number      
Pilot I II III IV V
A 8 2 - 5 4
B 10 9 2 8 4
C 5 4 9 6 -
D 3 6 2 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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