How do I set up an optimization problem?

[Raidkha]

How do I set up an optimization problem??

Homework Statement

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!

 

[oli4]

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