Carly is able to sell 800 raffle tickets when each ticket costs $3. When she increases the price by $0.05, the revenue increases, but the number of tickets sold drops by 10. The relation can be modelled by the equation R =-0.5x + 10x + 2400, where R is the revenue from ticket sales in dollars and x is the number of times the price increases by $0.05. Use a graphing calculator to assist you in answering the following questions. %D a) Find the maximum revenue. b) By how much does Carly have to increase the ticket price to earn the maximum revenue? c) Calculate the new ticket price to earn the maximum revenue.

Carly is able to sell 800 raffle tickets when each ticket costs $3. When she increases the price by $0.05, the revenue increases, but the number of tickets sold drops by 10. The relation can be modelled by the equation R =-0.5x + 10x + 2400, where R is the revenue from ticket sales in dollars and x is the number of times the price increases by $0.05. Use a graphing calculator to assist you in answering the following questions. %D a) Find the maximum revenue. b) By how much does Carly have to increase the ticket price to earn the maximum revenue? c) Calculate the new ticket price to earn the maximum revenue.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Carly is able to sell 800 raffle tickets when each ticket costs $3. When she increases the price
by $0.05, the revenue increases, but the number of tickets sold drops by 10. The relation can be
modelled by the equation R = -0.5x + 10x + 2400, where R is the revenue from ticket sales in
dollars and x is the number of times the price increases by $0.05. Use a graphing calculator to
assist you in answering the following questions.
a) Find the maximum revenue.
b) By how much does Carly have to increase the ticket price to earn the maximum revenue?
c) Calculate the new ticket price to earn the maximum revenue.

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