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Optimal Chapter-Flight Fare If exactly 184 people sign up for a charter flight, Leisure World Travel Agency charges $314/person. However, if more than 184 people sign up for the flight (assume this is the case), then each fare is reduced by s how many passengers will result in a maximum revenue for the travel agency. Hint: Letx denote the number of passengers above 184. Show that the revenue function R is given by R(x)= (184+x)(314-x). passengers What is the maximum revenue? $ h.

Optimal Chapter-Flight Fare If exactly 184 people sign up for a charter flight, Leisure World Travel Agency charges $314/person. However, if more than 184 people sign up for the flight (assume this is the case), then each fare is reduced by s how many passengers will result in a maximum revenue for the travel agency. Hint: Letx denote the number of passengers above 184. Show that the revenue function R is given by R(x)= (184+x)(314-x). passengers What is the maximum revenue? $ h.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Optimal Charter-Flight Fare** If exactly 184 people sign up for a charter flight, Leisure World Travel Agency charges $314 per person. However, if more than 184 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 184. Show that the revenue function \( R \) is given by \( R(x) = (184 + x)(314 - x) \). 1. **Passengers:** [Input field for number of passengers] 2. **What is the maximum revenue?** - $ [Input field for maximum revenue] 3. **What would be the fare per passenger in this case?** - [Input field for fare per passenger] dollars per passenger
Transcribed Image Text:**Optimal Charter-Flight Fare** If exactly 184 people sign up for a charter flight, Leisure World Travel Agency charges $314 per person. However, if more than 184 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 184. Show that the revenue function \( R \) is given by \( R(x) = (184 + x)(314 - x) \). 1. **Passengers:** [Input field for number of passengers] 2. **What is the maximum revenue?** - $ [Input field for maximum revenue] 3. **What would be the fare per passenger in this case?** - [Input field for fare per passenger] dollars per passenger
The text reads: "You are given the graph of a function \( f \) defined on the interval \( (-1, \infty) \). Find the absolute maximum and absolute minimum values of \( f \) (if they exist) and where they are attained. (If an answer does not exist, enter DNE.) Absolute maximum: \((x, y) = \left(1, \infty \right) \, \text{\textcolor{red}{✗}}\) Absolute minimum: \((x, y) = \left(-1, \infty \right) \, \text{\textcolor{red}{✗}}\)" Graph Description: The graph depicts a function \( f \) on a coordinate plane with \( x \)-axis ranging from -1 to greater than 2, and \( y \)-axis with values ranging from -3 to just over 1. - The function appears to approach \( y = 0 \) asymptotically from below as \( x \) approaches -1 from higher values. - As \( x \) increases past 0, the graph shows a wave-like rise peaking just above \( y = 1 \) and then levels off. - The function appears to level out to a horizontal asymptote, where \( y = 1 \), as \( x \) approaches \( \infty \). End Behavior and Extrema: - The graph suggests there is no absolute maximum or minimum within the given interval. - The function approaches \(\infty\) as \( x \) approaches \(-1\) and \( \infty\). Note: The boxes checked with red marks (\textcolor{red}{✗}) indicate incorrect answers.
Transcribed Image Text:The text reads: "You are given the graph of a function \( f \) defined on the interval \( (-1, \infty) \). Find the absolute maximum and absolute minimum values of \( f \) (if they exist) and where they are attained. (If an answer does not exist, enter DNE.) Absolute maximum: \((x, y) = \left(1, \infty \right) \, \text{\textcolor{red}{✗}}\) Absolute minimum: \((x, y) = \left(-1, \infty \right) \, \text{\textcolor{red}{✗}}\)" Graph Description: The graph depicts a function \( f \) on a coordinate plane with \( x \)-axis ranging from -1 to greater than 2, and \( y \)-axis with values ranging from -3 to just over 1. - The function appears to approach \( y = 0 \) asymptotically from below as \( x \) approaches -1 from higher values. - As \( x \) increases past 0, the graph shows a wave-like rise peaking just above \( y = 1 \) and then levels off. - The function appears to level out to a horizontal asymptote, where \( y = 1 \), as \( x \) approaches \( \infty \). End Behavior and Extrema: - The graph suggests there is no absolute maximum or minimum within the given interval. - The function approaches \(\infty\) as \( x \) approaches \(-1\) and \( \infty\). Note: The boxes checked with red marks (\textcolor{red}{✗}) indicate incorrect answers.
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