A small airline operates the following flights between three cities A, B and C. The flight operates
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A small airline operates the following flights between three cities A, B and C. The flight operates daily, seven days each week. The company wishes to pair the arriving flights with the departing flights at each city so as to minimise time on the ground (subject to this being at least one hour to allow for refuelling and essential checks.) Solve this problem to carry out the pairing. Hence write down the sequence of flights carried out by any of the aeroplanes. How many aeroplanes are needed to operate the schedule?
| Flight Schedule
| ||||
| Flight | From | Departure Time | To | Arrival Time |
| 1 | A | 08:00 | B | 12:00 |
| 2 | A | 09:00 | C | 12:00 |
| 3 | A | 10:00 | B | 14:00 |
| 4 | A | 14:00 | B | 18:00 |
| 5 | A | 18:00 | B | 22:00 |
| 6 | A | 20:00 | C | 23:00 |
| 7 | B | 07:00 | A | 11:00 |
| 8 | B | 09:00 | A | 13:00 |
| 9 | B | 13:00 | A | 17:00 |
| 10 | B | 18:00 | A | 22:00 |
| 11 | C | 09:00 | A | 12:00 |
| 12 | C | 15:00 | A | 18:00 |
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