Lesson 22: Optimization I (Section 4 version)

This document provides an outline and examples for solving optimization problems. It begins with an example of finding the rectangle of fixed perimeter with maximum area. It then outlines the steps to take, which include understanding the problem, drawing a diagram, introducing notation, expressing the objective function, eliminating unneeded variables, and finding the absolute maximum or minimum. It also reviews the Closed Interval Method and the First and Second Derivative Tests for finding extrema. Finally, it provides another example problem of finding the largest enclosable area using 800 meters of fencing.