Alpha Airline wishes to schedule no more than one flight out of a given airport to each
Question:
Alpha Airline wishes to schedule no more than one flight out of a given airport to each of the following cities: C, D, L, and N. The available departure slots are 8 A.M., 10 A.M., and 12 NOON. Alpha leases the airplanes at the cost of $5000 before and including 10 A.M. and $3000 after 10 A.M., and is able to lease at most two per departure slot. Also, if a flight leaves for location N in a time slot, there must be a flight leaving for location L in the same time slot. The expected profit (in $1000) contribution before rental costs per flight is shown in the table below. Formulate a model for a profit-maximizing (after deducting rental cost) schedule. Define your decision variables carefully; write the objective function and all relevant constraints.
Time Slot | 8 A.M. | 10 A.M. | 12 Noon |
C | 10 | 6 | 6 |
D | 9 | 10 | 9 |
L | 14 | 11 | 10 |
N | 18 | 15 | 10 |
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill