I want to build a box with a square base and an open front. I only have 60 ft2 of cardboard to use. What are the dimensions of the box with the largest volume? ( solve in the following outline.) Label each bullet points.

Draw a picture.

Define variables.

What are you trying to optimize?

Write down your relations (objective and constraint).

Write your objective as a function of one variable by using your constraint.

What is the domain?

Use calculus to optimize.