Results 1 to 4 of 4

Math Help - Application of Derivatives ( Optimization )

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    3

    Application of Derivatives ( Optimization )

    A real estate developer estimates that if 60 luxury houses are built, the average profit will be $47,500 per house. The average profit will decrease by $500 per house for each additional house built. How many houses should the developer build to maximize total profit?

    I set up the equation like this:
    P(x) = [47500 - 500( x - 60 )]x

    I get the wrong answer though, I need to get 17 or 18.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Sep 2008
    Posts
    15
    Just out of curiosity - do you get the result 77.5, while the key tells you 17 or 18?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2010
    Posts
    3
    yep - maybe i am setting up the equation wrong?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Sep 2008
    Posts
    15
    To be honest, I think we're looking at more of a semantic problem here:
    77.5 - 60 = 17.5

    After all, the problem only defines a linear correlation for the average profit after sixty houses have been built.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Application of Derivatives
    Posted in the Math Challenge Problems Forum
    Replies: 2
    Last Post: June 18th 2009, 05:16 PM
  2. Application of derivatives?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 11th 2009, 10:12 PM
  3. Optimization application prob
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 7th 2009, 10:40 AM
  4. Application of derivatives
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 15th 2008, 04:52 PM
  5. Application of derivatives
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 29th 2007, 07:32 AM

Search Tags


/mathhelpforum @mathhelpforum