Optimal Chapter-Flight Fare If exactly 180 people sign up for a charter flight, Leisure World Travel Agency charges $296/person. However, if more than 180 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 180. Show that the revenue function R is given by R(x)= (180 + x)(296 - X). passengers What is the maximum revenue? $ What would be the fare per passenger in this case? dollars per passenger

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 55E
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Optimal Chapter-Flight Fare If exactly 180 people sign up for a charter flight, Leisure World Travel Agency charges $296/person. However, if more than
180 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how many passengers will
result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 180. Show that the revenue function R is given by
R(x) = (180 + x)(296 − x).
passengers
What is the maximum revenue?
What would be the fare per passenger in this case?
dollars per passenger
Transcribed Image Text:Optimal Chapter-Flight Fare If exactly 180 people sign up for a charter flight, Leisure World Travel Agency charges $296/person. However, if more than 180 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 180. Show that the revenue function R is given by R(x) = (180 + x)(296 − x). passengers What is the maximum revenue? What would be the fare per passenger in this case? dollars per passenger
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