Question

In: Statistics and Probability

Question #2. Airline Scheduling Alpha Airline wishes to schedule no more than one flight out of...

Question #2. Airline Scheduling

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 $5000before and including 10 A.M. and $3000after 10 A.M., and is able to lease at most two per departure slot. Also, if a flight leaves for location Nin a time slot, there must be a flight leaving for location Lin 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

Solutions

Expert Solution

The parameters are:

The formulas are:

The solution is:

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