An airline flies a daily flight from City A to City B. Currently they sell each ticket for $200, and on average 100 people take the flight, so their revenue per flight is 100 tickets × $200/ticket = $20,000. They are interested in seeing whether they can increase their revenue by changing the price of a ticket. Based on market research they discover that for every $2 increase in ticket price, one fewer person will buy a ticket. Similarly for every $2 decrease in ticket price, one more person will buy a ticket. Complete parts (a) and (b). (a) What ticket price would maximize the airline's revenue? The ticket price that would maximize the airline's revenue is $. (Type a whole number.)
An airline flies a daily flight from City A to City B. Currently they sell each ticket for $200, and on average 100 people take the flight, so their revenue per flight is 100 tickets × $200/ticket = $20,000. They are interested in seeing whether they can increase their revenue by changing the price of a ticket. Based on market research they discover that for every $2 increase in ticket price, one fewer person will buy a ticket. Similarly for every $2 decrease in ticket price, one more person will buy a ticket. Complete parts (a) and (b). (a) What ticket price would maximize the airline's revenue? The ticket price that would maximize the airline's revenue is $. (Type a whole number.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter8: Evolutionary Solver: An Alternative Optimization Procedure
Section8.6: Fitting An S-shaped Curve
Problem 9P
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![An airline flies a daily flight from City A to City B. Currently they sell each ticket for $200, and on average 100 people take the flight, so their revenue per flight is
100 tickets × $200/ticket = $20,000. They are interested in seeing whether they can increase their revenue by changing the price of a ticket. Based on market
research they discover that for every $2 increase in ticket price, one fewer person will buy a ticket. Similarly for every $2 decrease in ticket price, one more
person will buy a ticket. Complete parts (a) and (b).
(a) What ticket price would maximize the airline's revenue?
The ticket price that would maximize the airline's revenue is $
(Type a whole number.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F029b2f88-3581-4d68-a554-8cfb7e930c3e%2Fe045b1cb-3a20-4710-8f6b-bc88e6ef20d0%2Fmbyrkgg_processed.png&w=3840&q=75)
Transcribed Image Text:An airline flies a daily flight from City A to City B. Currently they sell each ticket for $200, and on average 100 people take the flight, so their revenue per flight is
100 tickets × $200/ticket = $20,000. They are interested in seeing whether they can increase their revenue by changing the price of a ticket. Based on market
research they discover that for every $2 increase in ticket price, one fewer person will buy a ticket. Similarly for every $2 decrease in ticket price, one more
person will buy a ticket. Complete parts (a) and (b).
(a) What ticket price would maximize the airline's revenue?
The ticket price that would maximize the airline's revenue is $
(Type a whole number.)
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