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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 your1?2decision variables carefully; write the objective function and all relevant constraints. Use Excel SOLVER to find the optimal solution.
Time Slot 8AM 10AM 12NoonC 10 6 6D 9 10 9L 14 11 10N 18 15 10
Supposed the objective function is changed to, do you need to re-graph the feasible region of this LP. Why. Illustrate what is the solution for the new LP.
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