Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: How do I set up an optimization problem?

  1. Nov 26, 2012 #1
    How do I set up an optimization problem??

    1. The problem statement, all variables and given/known data
    A closed reactangular box, with a square base x by x cm and height h cm. The surface area is 8cm^2. Find the maximum

    * I know how to find the critical points and everything else, but I don't know how set the problem up. I have a really huge problem with sitting the problem up. PLEASE GIVE ME SOME TIPS ON HOW TO DO THAT!
     
  2. jcsd
  3. Nov 26, 2012 #2
    Re: How do I set up an optimization problem??

    Hi Raidkha
    You didn't finish exposing the problem, but I suppose you want to maximize the volume of the box
    What you should do is put in formulas what the problem says
    so you express the surface as a function of x and h, and then the volume.
    the given surface will allow you to express h as a function of x (or the other way around), which you then plug in the volume formula which you then try to maximize
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook