Results 1 to 2 of 2

Math Help - I am confused on the steps for optimization, could someone please help

  1. #1
    Junior Member
    Joined
    Nov 2009
    Posts
    39

    I am confused on the steps for optimization, could someone please help

    Here is the sample problem (but the object will change for the test):

    Optimization.The base b and height h of an isosceles triangle vary in such
    a way that its perimeter,is constant,and equal to 6. Find the maximum possible area of the triangle.

    What I know from this:
    P=B * 2S (base times the 2 sides)
    P=6
    A=BH (base times height)

    From the question I also think that I will be needing to find f' and f'' to find the maximimum area for the triangle, but I am not sure on that.

    I always get confused on the steps to work through optimization word problems. Can someone please help? I understand more if there is a step by step process to solve something.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jan 2009
    Posts
    591
    Quote Originally Posted by operaphantom2003 View Post
    What I know from this:
    P=B * 2S (base times the 2 sides) <--?
    ...
    A=BH (base times height) <--?
    As a start, try this:
    Perimeter = b + s + s = 6
    Area =  \dfrac{b \cdot h}{2}

    s =  \sqrt{ h^2 + \left(\dfrac{b}{2} \right)^2 }
    I also think that I will be needing to find f'
    You are thinking right.
    .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Which steps to use and when to use them ? ?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 18th 2011, 10:59 PM
  2. Replies: 2
    Last Post: January 10th 2010, 09:45 AM
  3. Confused on an Optimization problem
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 22nd 2009, 05:26 AM
  4. The steps to find f''(x)=x^4 - 4x^3
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 25th 2009, 06:05 PM
  5. Steps, and patterns.
    Posted in the Math Topics Forum
    Replies: 7
    Last Post: May 16th 2007, 05:59 PM

Search Tags


/mathhelpforum @mathhelpforum