1. Copyright © 2012 Pearson Education, Inc. All rights reserved Chapter 3 Linear Programming: The Graphical Method

2. Copyright © 2012 Pearson Education, Inc. All rights reserved 3.1 Graphing Linear Inequalities

3. 3 - 3 © 2012 Pearson Education, Inc.. All rights reserved.

4. 3 - 4 Figure 1 © 2012 Pearson Education, Inc.. All rights reserved.

5. 3 - 5 Figure 2 © 2012 Pearson Education, Inc.. All rights reserved.

6. 3 - 6 Figure 3 © 2012 Pearson Education, Inc.. All rights reserved.

7. 3 - 7 Figure 4 © 2012 Pearson Education, Inc.. All rights reserved.

8. 3 - 8 Your Turn 1 © 2012 Pearson Education, Inc.. All rights reserved.

9. 3 - 9 © 2012 Pearson Education, Inc.. All rights reserved.

10. 3 - 10 Your Turn 2 © 2012 Pearson Education, Inc.. All rights reserved.

11. 3 - 11 Figure 8 © 2012 Pearson Education, Inc.. All rights reserved.

12. 3 - 12 Figure 9 © 2012 Pearson Education, Inc.. All rights reserved.

13. 3 - 13 Figure 10 © 2012 Pearson Education, Inc.. All rights reserved.

14. Copyright © 2012 Pearson Education, Inc. All rights reserved 3.2 Solving Linear Programming Problems Graphically

15. 3 - 15 © 2012 Pearson Education, Inc.. All rights reserved. Figure 11

16. 3 - 16 Figure 12 © 2012 Pearson Education, Inc.. All rights reserved.

17. 3 - 17 Figure 13 © 2012 Pearson Education, Inc.. All rights reserved.

18. 3 - 18 Figure 14 © 2012 Pearson Education, Inc.. All rights reserved.

19. 3 - 19 © 2012 Pearson Education, Inc.. All rights reserved.

20. 3 - 20 © 2012 Pearson Education, Inc.. All rights reserved.

21. 3 - 21 © 2012 Pearson Education, Inc.. All rights reserved.

22. 3 - 22 Figure 15 © 2012 Pearson Education, Inc.. All rights reserved.

23. 3 - 23 © 2012 Pearson Education, Inc.. All rights reserved.

24. 3 - 24 Figure 16 © 2012 Pearson Education, Inc.. All rights reserved.

25. Copyright © 2012 Pearson Education, Inc. All rights reserved 3.3 Applications of Linear Programming

26. 3 - 26 © 2012 Pearson Education, Inc.. All rights reserved.

27. 3 - 27 © 2012 Pearson Education, Inc.. All rights reserved.

28. 3 - 28 Figure 17 © 2012 Pearson Education, Inc.. All rights reserved.

29. 3 - 29 Example 2 This question will be solved in Chapter 4 using the Simplex Method. A 4-H member raises only goats and pigs. She wants to raise no more than 16 animals, including no more than 10 goats. She spends $25 to raise a goat and $75 to raise a pig, and she has $900 available for this project. Each goat produces $12 in profit and each pig $40 in profit. How many goats and how many pigs should she raise to maximize total profit? © 2012 Pearson Education, Inc.. All rights reserved.

30. 3 - 30 Example 2 continued © 2012 Pearson Education, Inc.. All rights reserved.

31. 3 - 31 Figure 18 - Graph of the feasible region © 2012 Pearson Education, Inc.. All rights reserved.

32. 3 - 32 Figure 19 © 2012 Pearson Education, Inc.. All rights reserved.

33. 3 - 33 Figure 20 © 2012 Pearson Education, Inc.. All rights reserved.

34. 3 - 34 Figure 21 © 2012 Pearson Education, Inc.. All rights reserved.

35. 3 - 35 Figure 22 © 2012 Pearson Education, Inc.. All rights reserved.

36. 3 - 36 © 2012 Pearson Education, Inc.. All rights reserved.

37. Copyright © 2012 Pearson Education, Inc. All rights reserved Chapter 3 Review Extended Application: Sensitivity Analysis

38. 3 - 38 Figure 23 © 2012 Pearson Education, Inc.. All rights reserved.

39. 3 - 39 Figure 24 © 2012 Pearson Education, Inc.. All rights reserved.

40. 3 - 40 Figure 25 © 2012 Pearson Education, Inc.. All rights reserved.

41. 3 - 41 Figure 26 © 2012 Pearson Education, Inc.. All rights reserved.

42. 3 - 42 Figure 27 © 2012 Pearson Education, Inc.. All rights reserved.