4.1 Max and Min Values Handouts Objective: Find Maximum and Min. Values (Absolute and Local). The Extreme Value Theorem. Fermat's Theorem . Finding Critical Numbers.4.7 Optimization Problems Handouts Objectives: Optimization Problems. . Maximizing or Minimizing a Function4. (#37) A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is (a) a maximum? (b) a minimum