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# Problem 12-21 (Algorithmic) South Central Airlines operates a commuter ight between Atlanta and Charlotte The plane holds 32 passengers, and the...

Problem 12-21 (Algorithmic)

South Central Airlines operates a commuter flight between Atlanta and Charlotte. The plane holds 32 passengers, and the airline makes a \$130 profit on each passenger on the flight. When South Central takes 30 reservations for the flight, experience has shown that, on average, two passengers do not show up. As a result, with 32 reservations, South Central is averaging 30 passengers with a profit of 30(130) = \$3,900 per flight. The airline operations office has asked for an evaluation of an overbooking strategy in which the airline would accept 34 reservations even though the airplane holds only 32 passengers. The probability distribution for the number of passengers showing up when 34 reservations are accepted is as follows:

Problem 12-21 (Algorithmic) South Central Airlines operates a commuter ﬂight between Atlanta and Charlotte The plane holds 32 passengers, and the airline makes a \$130 profit on each passenger on the flight. when South Central takes 30 reservations for the flight, experience has
shown that, on average, two passengers do not show up. As a result, with 32 reservations, South Central is averaging 30 passengers with a proﬁt of 30(130) = \$3,900 per ﬂight. The airline operations ofﬁce has asked for an evaluation of an overbooking
strategy in which the airline would accept 34 reservations even though the airplane holds only 32 passengers. The probability distribution for the number of passengers showing up when 34 reservations are accepted is as follows: Passenger Showing Up Prob: I ty
30 0.05
31 0.25
32 0150
33 0.15
34 0.05 The airline will receive a proﬁt of \$130 for each passenger on the flight, up to the capacity of 32 passengers. The airline will also incur a cost for any passenger denied seating on the ﬂight. This cost covers added expenses of rescheduling the passenger as
well as loss of goodwill, estimated to be \$180 per passenger. Develop a worksheet model that will simulate the performance of the overbooking system. Simulate the number of passengers showing up for each of 500 ﬂlghts by using the VLOOKUP function, Use the results to compute the proﬁt for each flight.
a. Does your simulation recommend the overbooking strategy? Yes i/ What Is the mean proﬂt per ﬂight If overbooking Is Implemented? Round your answer to the nearest dollar. b. Explain how your simulation model could be used to evaluate other overbooking levels, such as 33, 35, and 36, and for recommending a best overbooking strategy. The input in the box below will not be graded, but may be reviewed and considered by your instructor.
In each speciﬁc case, the airline needs to
calculate the probability of the different types of passengers demand. If the
airliners are able to switch the lower and A V Feedback 1 Check My Work
Parlially correct

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