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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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

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

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

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

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