1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Modeling and Optimization Section 4.4

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 2 Quick Review Solutions

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 3 What you’ll learn about Examples from Mathematics Examples from Business and Industry Examples from Economics Modeling Discrete Phenomena with Differentiable Functions …and why Historically, optimization problems were among the earliest applications of what we now call differential calculus.

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 4 Strategy for Solving Max-Min Problems

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 5 Example Inscribing Rectangles

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 6 Maximum Profit

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 7 Example Maximizing Profit

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 8 Minimizing Average Cost

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Page 214 (1-10) ========================= Pages 215-216 (13-17, 19, 25, 43, 49) Slide 4- 9