2. Simon knows that at $30 per ticket, 500 tickets to a show will be sold. He also knows that for every $1 increase in price, 10 fewer tickets will be sold (see equation). Revenue (price per ticket)(number of tickets sold) R(x)= (30+ x) (500 - 10x) R, represents Revenue from ticket sales, x represents number of $1 price increases (Hint: complete the square) Use the equation of the function above modelling revenue from ticket sales to determine the following: a) Ticket price that will maximize revenue b) The maximum revenue

2. Simon knows that at $30 per ticket, 500 tickets to a show will be sold. He also knows that for every $1 increase in price, 10 fewer tickets will be sold (see equation). Revenue (price per ticket)(number of tickets sold) R(x)= (30+ x) (500 - 10x) R, represents Revenue from ticket sales, x represents number of $1 price increases (Hint: complete the square) Use the equation of the function above modelling revenue from ticket sales to determine the following: a) Ticket price that will maximize revenue b) 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

2. Simon knows that at $30 per ticket, 500 tickets to a show will be sold. He also
knows that for every $1 increase in price, 10 fewer tickets will be sold (see
equation).
Revenue = (price per ticket)(number of tickets sold)
R(x)= (30+ x) (500 - 10x)
R, represents Revenue from ticket sales, x represents number of $1 price increases
(Hint: complete the square)
Use the equation of the function above modelling revenue from ticket sales to
determine the following:
a) Ticket price that will maximize revenue
b) The maximum revenue

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