A skating rink manager finds that revenue R based on an hourly fee F for skating is represented by the function R= -480(F - 3.25)^2 + 5070. What hourly fee will produce maximum revenue?

  1. 👍 1
  2. 👎 0
  3. 👁 371
asked by Emily
  1. Since you have no calculus (the easy way), lets do it this way. Obviously, it is a parabola going up, then down. So look for the half way point between both x intercepts.
    So find the x intercepts.

    0=-480(F-3.25)^2 + 5270

    F^2+6.5F+3.25^2-5070/480=0 check that, then put it in the form
    af^2 + bF+ C=0 and either factor it, or use the quadratic equation.

    Then finally, take the average of the two roots, and you have the point of max revenue.

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Franco is building a rectangular skating rink at the community park. the materials available limit the perimeter of the skating rink at most 180 feet. Let X represent the width of the skating rink. let a represent the area of the

    asked by Sissy on September 18, 2019
  2. math

    Members of the Campus Roller Rink pay a yearly membership fee of $50 plus $5 each time they go skating. nonmembers pay $10 each time the go skating. How many times would both members and nonmembers have to go skating in a year in

    asked by jill on November 7, 2013
  3. Physics

    Jack and Jill are skating. Jill has a mass of 50 kg, Jack has a mass of 80 kg. At t=0 seconds Jill starts skating across a 50 m diameter rink at a speed of 3 m/s. After 3 seconds Jack skates after her with a speed of 5 m/s. When

    asked by Hale on May 13, 2013
  4. Math

    A skating rink plays different songs during a two-hour skating party. The songs average 3 minutes each. There is a 15-minute break, without music, when the refreshments are served. How many songs do they need to have ready? For me

    asked by Mia on February 18, 2010
  5. physics3

    home / study / science / physics / physics questions and answers / Ed And Annie Are Ice Skating. Ed (55 Kg) And Annie (40kg) Both Wearing Skates Face Each Other ... Your question has been answered Let us know if you got a helpful

    asked by TK on April 26, 2018
  6. math

    A rectangular skating rink measuring 30m by 20m is doubled in area by adding a strip at one end of the rink and a strip fo the same width along one side of the rink. Find the width of the strips if the enlarged rink is still

    asked by tina on December 5, 2010
  7. English

    1. They are skating in an ice rink. 2. They are skating at an ice rink. 3. They are skating on an ice rink. (Which one is correct?) 4. We are going to ski at a ski resort. 5. we are going to ski at Yongpyeong Ski Resort. 6. We are

    asked by rfvv on August 30, 2012
  8. title making

    whatis a good inline skating title for something that is aimed at promoting in line skating and incourage skaters to practice safe skating thanks so much this is due tomorrow and i have dinner soon, plz hurry and i thank you soooo

    asked by Cass on November 3, 2006
  9. Health

    What can you do to prevent in-line skating injuries? A. Try to fall backward, not foreward. B. Wear a limited amount of padding. C. Skate in the streets, not on the sidewalks. D. Keep your head up while you're skating D?

    asked by Jocelynn on December 30, 2015
  10. Lang arts

    which word choice supports the idea that the author has a positive point of view of rolling skating? A. been around since 1700 B. loved winter ice skating C. hard to roll D. more popular p.s I am on connections academy

    asked by dasha on November 18, 2015

More Similar Questions