Perhaps the best way to understand the optimization process is to put yourself in the steel-toed shoes of a cardboard box fabricating company employee. This company, hypothetically called The Bigger Box, is overseen by the enigmatic Lee J. Monroe. His first task is to have you create the largest possible box from a standard sheet of sturdy paper. Mr. Monroe would like to know what is the maximum possible volume of said box. Duration: 9:47

After you have expanded out your polynomial volume equation, advance to the next crucial step, finding a feasible domain for your function. Duration: 10:41

Now that we have our critical value, its time to test to see it leads to a maximum volume. Ideally, we would perform the Closed Interval Test, but as we lack an actual closed interval, we'll have to hope for the best using the First or Second Derivative Tests. Place your bets now as to which one I will select. Duration: 9:13