5. (WORD PROBLEM) On Friday, the local cinema sells 200 tickets at $6 each.The manager estimates that for each $0.50 increase in ticket price, 10 fewertickets will be sold. What price should the manager charge per ticket in order tomaximize the revenue? Let x represent the number of $2 increases.Step 1: Write a factored expression (( ) to help you solve for x.Step 2: Multiply the ( )( ) to create a quadratic expression then find theoptimal value of x by calculating the peak of the quadratic expression.Step 3: Use the value of x and one of your () to solve the problem.

Answered: Image /qna-images/answer/ce990ca4-ca62-43f0-92b3-27d12021763a.jpg

Answered: 5. (WORD PROBLEM) On Friday, the local…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.3: Solving Linear Equations

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5. (WORD PROBLEM) On Friday, the local cinema sells 200 tickets at $6 each. The manager estimates that for each $0.50 increase in ticket price, 10 fewer tickets will be sold. What price should the manager charge per ticket in order to maximize the revenue? Let x represent the number of $2 increases