Results 1 to 3 of 3

Math Help - Maximization/Word Problem

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    4

    Maximization/Word Problem

    An apple orchard has an average yield of 32 bushels of apples/tree if tree density is 20 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield?



    Can anyone help explain how to set this problem up/solve it? Thanks!!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by Chrisss View Post
    An apple orchard has an average yield of 32 bushels of apples/tree if tree density is 20 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield?
    let x = number of unit increases in tree density

    y = yield in bushels per acre

    yield = (bushels per tree)(trees per acre)

    y = (32-4x)(20+x)

    maximize the quadratic
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2009
    Posts
    4
    Ah I got it right! I understand the math the wording just confused me. Thanks!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] maximization problem
    Posted in the Business Math Forum
    Replies: 2
    Last Post: July 23rd 2010, 05:34 PM
  2. Differentiation Maximization Word Problem.
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: March 17th 2010, 02:42 AM
  3. Maximization problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 12th 2008, 11:55 AM
  4. Maximization Problem
    Posted in the Calculus Forum
    Replies: 4
    Last Post: May 10th 2008, 09:22 PM
  5. Maximization Problem Help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 17th 2008, 07:10 PM

Search Tags


/mathhelpforum @mathhelpforum