(a) What is the number of $1 increases in price that will maximize the revenue? Note: Revenue = (number of items sold) x (price of per item)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 13T
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The current price of an amateur theater tickets is $20, and the venue typically sells 500 tickets. A survey
found that for each $1 increase in ticket price, 10 fewer tickets are sold.
(a) What is the number of $1 increases in price that will maximize the revenue?
Note: Revenue (number of items sold) x (price of per item)
%3D
b) What price per ticket will maximize the revenue?
c) What is the maximum revenue?
Transcribed Image Text:The current price of an amateur theater tickets is $20, and the venue typically sells 500 tickets. A survey found that for each $1 increase in ticket price, 10 fewer tickets are sold. (a) What is the number of $1 increases in price that will maximize the revenue? Note: Revenue (number of items sold) x (price of per item) %3D b) What price per ticket will maximize the revenue? c) What is the maximum revenue?
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