Results 1 to 2 of 2

Math Help - standard form

  1. #1
    Senior Member euclid2's Avatar
    Joined
    May 2008
    From
    Ottawa, Canada
    Posts
    400
    Awards
    1

    standard form

    I know this is a long question and I have atempted it, although i just really dont have a clue unfortunately


    After a few calculations, Allison and Hannah realize the park will make more money if they raise the price of admission. However, they also understand that there must be a limit to how much the park can charge. As a result, they model the situation with the equation, R = (2400 - 80x)(8 + 0.5x), where R represents the revenue from sales and x represents the number of price increases.


    1. Write this equation in standard form, R = ax2 + bx + c. Show all of the steps leading to the final answer.
    2. What price should the park charge to maximize its revenue?
    3. What price range would produce a revenue over $20,000?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jul 2008
    Posts
    78
    1)
    Use FOIL to expand the two binomials. Look here for reference Using FOIL - Free Math Help
    You should get R={-40x^{2}+560x+19200}

    2)
    Notice that the function is a parabola opening down. So as x\to\pm\infty, R\to\pm\infty.
    Thus you need to find the vertex to get the highest R value. Use the formula x={\dfrac{-b}{2a}}={\dfrac{-(560)}{2(-40)}}.

    3)
    Set the equation, =-40x^{2}+560x+19200>20000 and solve for x.
    You should get something like x < -\left(\sqrt{69}+7\right) or x>\sqrt{69}-7 as the range.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: February 3rd 2011, 06:41 PM
  2. Replies: 2
    Last Post: March 9th 2010, 08:33 PM
  3. Replies: 1
    Last Post: February 16th 2010, 07:21 AM
  4. Standard form/Slope-intercept form
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 9th 2009, 08:04 PM
  5. Replies: 14
    Last Post: May 30th 2008, 06:10 AM

Search Tags


/mathhelpforum @mathhelpforum