Posted by **Please help me** on Saturday, November 24, 2012 at 2:40am.

The dance company has a $10 cover charge, an average of 200 people will attend. For each $0.25 increase in admission price, the average number attending decreases by 1. What should the owner charge in order to make the most money? what is the maximum money that can be earned?

- math -
**Steve**, Saturday, November 24, 2012 at 5:04am
If the price is 10.00 + .25x

attendance = 200 - x

money = attendance * price = (200-x)(10.00+.25x)

= -.25x^2 + 40x + 2000

this is a parabola with vertex at x = 40/.5 = 80

at x=80, admission is $30, money = 3600

## Answer This Question

## Related Questions

- C++ - In this exercise, you will create a program for the sales manager at ...
- Math - A university is trying to determine what price to charge for tickets to ...
- statistics - The average admission charge for a movie is $6. if the distribution...
- Math - Planner for a festival is trying to decide what to charge for ticket ...
- Math - The park had initially planned to charge $8 for admission and expected to...
- managerial economics - Question #6 The owner of Taco Joe’s has estimated that ...
- Economics - Problem 2: You are a rock concert producer planning a rock concert. ...
- Managerial Economics - a private garage owner has identified two distinct market...
- Grade 12 Calculus - For an outdoor concert, a ticket price of $30 typically ...
- Math - A football stadium can seat 80,000 people The stadium sells tickets for ...

More Related Questions