Results 1 to 5 of 5

Math Help - Optimization Problem

  1. #1
    Newbie
    Joined
    Aug 2007
    Posts
    23

    Smile Optimization Problem

    A farmer has 160 ft of fencing to enclose 2 adjacent rectangular pig pens. What dimensions should be used so that the enclosed area will be a maximum? (give the answer as the dimensions of 1 of the pens)

    First I drew the two rectangles and I knew that I had to maximize the area.




    Then I got stuck. Thanks for any help!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by liz155 View Post
    A farmer has 160 ft of fencing to enclose 2 adjacent rectangular pig pens. What dimensions should be used so that the enclosed area will be a maximum? (give the answer as the dimensions of 1 of the pens)

    First I drew the two rectangles and I knew that I had to maximize the area.




    Then I got stuck. Thanks for any help!
    we have the condition that 4x + 4y = 160

    we also know that the area of one pen is A = xy

    now use the condition to write A in terms of one variable, and then maximize A (find it's derivative, set it equal to zero, solve for one variable, then solve for the other using that variable)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2007
    Posts
    23

    Talking

    Thanks so much! I think I can get it from here.


    Thanks!!!!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by liz155 View Post
    Thanks so much! I think I can get it from here.


    Thanks!!!!
    ok, good. tell me if you have any problems. you have the answer in your book right?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Aug 2007
    Posts
    23
    It's multiple choice. Thanks again.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Optimization problem!!
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 9th 2011, 09:22 PM
  2. Optimization Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 2nd 2010, 09:54 PM
  3. Optimization Problem
    Posted in the Calculus Forum
    Replies: 0
    Last Post: May 2nd 2010, 05:49 PM
  4. Optimization Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 6th 2009, 10:21 AM
  5. optimization problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 15th 2007, 07:53 PM

Search Tags


/mathhelpforum @mathhelpforum