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.