Joseph's

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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St Joseph's church has a fund-raising valentine's dinner  to renovate their church.  

Their accounting committee came up with the following: 

- the most significant number of persons the church hall can fit is 300

- from the survey conducted, these 300 person would only be willing to purchase a ticket for the price of $30

- for every price increase of $2, 10 fewer people are willing to attend dinner.

1. What price should the committee charge to maximize revenue?

2. Expand the equation in 1 to form a quadratic equation

3. Using the quadratic formula , solve the quadratic equation to find the price that should be charged

 

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