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afile logo to reference the data. giant has conducted a field experiment to gauge the demand for reservations for the current flight. During this experiment, they did not limit the number of reservation demand. The following table summarizes the result of the field experiment. ervations Demanded 48 49 50 51 52 53 54 Probability 0.05 0.05 0.15 0.30 0.25 0.10 0.10 es a marginal profit of $100 for each passenger who books a reservation (regardless of whether they show up). Allegiant incurs a rebooking cost of $300 for each pass is denied seating due to a full airplane; this cost results from rescheduling the passenger and any loss of goodwill. booking costs, Allegiant wants to set a limit on the number of reservations it will accept. Evaluate Allegiant's average net profit for reservation limits of 50, 52, and 54, wers to a whole dollar amount. Limit Average Net Profit % confidence intervals for average net profit, which reservation limit do you recommend? Round your answers to a whole dollar amount. fident that Allegiant Airlines can achieve a net profit between $ and $ by limiting the number of reservations t - Select your answer - 50 52 54 U

afile logo to reference the data. giant has conducted a field experiment to gauge the demand for reservations for the current flight. During this experiment, they did not limit the number of reservation demand. The following table summarizes the result of the field experiment. ervations Demanded 48 49 50 51 52 53 54 Probability 0.05 0.05 0.15 0.30 0.25 0.10 0.10 es a marginal profit of $100 for each passenger who books a reservation (regardless of whether they show up). Allegiant incurs a rebooking cost of $300 for each pass is denied seating due to a full airplane; this cost results from rescheduling the passenger and any loss of goodwill. booking costs, Allegiant wants to set a limit on the number of reservations it will accept. Evaluate Allegiant's average net profit for reservation limits of 50, 52, and 54, wers to a whole dollar amount. Limit Average Net Profit % confidence intervals for average net profit, which reservation limit do you recommend? Round your answers to a whole dollar amount. fident that Allegiant Airlines can achieve a net profit between $ and $ by limiting the number of reservations t - Select your answer - 50 52 54 U

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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### Allegiant Airlines Overbooking Policy Analysis Allegiant Airlines is considering an overbooking policy for one of its flights. The airplane has 50 seats, but Allegiant is considering accepting more reservations than seats because sometimes passengers do not show up for their flights, resulting in empty seats. The PassengerAppearance worksheet in the file "Overbooking" contains data on 1,000 passengers showing whether or not they showed up for their respective flights. #### Field Experiment To gauge the demand for reservations, Allegiant conducted a field experiment without limiting the number of reservations for the flight to observe the uncensored demand. The following table summarizes the result of the field experiment: | No. of Reservations Demanded | Probability | |------------------------------|-------------| | 48 | 0.05 | | 49 | 0.05 | | 50 | 0.15 | | 51 | 0.30 | | 52 | 0.25 | | 53 | 0.10 | | 54 | 0.10 | Allegiant receives a marginal profit of $100 for each passenger who books a reservation, regardless of whether they show up. However, Allegiant incurs a rebooking cost of $300 for each passenger who books a reservation but is denied seating due to a full airplane. This cost is due to rescheduling the passenger and any potential loss of goodwill. #### Setting Reservation Limits To control its rebooking costs, Allegiant wants to set a limit on the number of reservations it will accept. The following table evaluates Allegiant’s average net profit for reservation limits of 50, 52, and 54, respectively. Round your answers to the nearest dollar amount. | Reservation Limit | Average Net Profit | |-------------------|--------------------| | 50 | | | 52 | | | 54 | | #### Recommendation Based on the 95% confidence intervals for the average net profit, which reservation limit do you recommend? Round your answers to the nearest whole dollar. We are 95% confident that Allegiant Airlines can achieve a net profit between $__________ and $__________ by limiting the number of reservations to ________.
Transcribed Image Text:### Allegiant Airlines Overbooking Policy Analysis Allegiant Airlines is considering an overbooking policy for one of its flights. The airplane has 50 seats, but Allegiant is considering accepting more reservations than seats because sometimes passengers do not show up for their flights, resulting in empty seats. The PassengerAppearance worksheet in the file "Overbooking" contains data on 1,000 passengers showing whether or not they showed up for their respective flights. #### Field Experiment To gauge the demand for reservations, Allegiant conducted a field experiment without limiting the number of reservations for the flight to observe the uncensored demand. The following table summarizes the result of the field experiment: | No. of Reservations Demanded | Probability | |------------------------------|-------------| | 48 | 0.05 | | 49 | 0.05 | | 50 | 0.15 | | 51 | 0.30 | | 52 | 0.25 | | 53 | 0.10 | | 54 | 0.10 | Allegiant receives a marginal profit of $100 for each passenger who books a reservation, regardless of whether they show up. However, Allegiant incurs a rebooking cost of $300 for each passenger who books a reservation but is denied seating due to a full airplane. This cost is due to rescheduling the passenger and any potential loss of goodwill. #### Setting Reservation Limits To control its rebooking costs, Allegiant wants to set a limit on the number of reservations it will accept. The following table evaluates Allegiant’s average net profit for reservation limits of 50, 52, and 54, respectively. Round your answers to the nearest dollar amount. | Reservation Limit | Average Net Profit | |-------------------|--------------------| | 50 | | | 52 | | | 54 | | #### Recommendation Based on the 95% confidence intervals for the average net profit, which reservation limit do you recommend? Round your answers to the nearest whole dollar. We are 95% confident that Allegiant Airlines can achieve a net profit between $__________ and $__________ by limiting the number of reservations to ________.
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