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Copyright ©2015 Pearson Education, Inc. All right reserved. Chapter 3 Linear Programming Copyright ©2015 Pearson Education, Inc. All right reserved.

Graphing Linear Inequalities in Two Variables Section 3.1 Graphing Linear Inequalities in Two Variables Copyright ©2015 Pearson Education, Inc. All right reserved.

Copyright ©2015 Pearson Education, Inc. All right reserved. Example: Graph Solution: Copyright ©2015 Pearson Education, Inc. All right reserved.

Linear Programming: The Graphical Method Section 7.2 Linear Programming: The Graphical Method Copyright ©2015 Pearson Education, Inc. All right reserved.

Copyright ©2015 Pearson Education, Inc. All right reserved.

Copyright ©2015 Pearson Education, Inc. All right reserved.

Solve the following linear programming problem: Example: Minimize subject to Solution: Copyright ©2015 Pearson Education, Inc. All right reserved.

Applications of Linear Programming Section3.3 Applications of Linear Programming Copyright ©2015 Pearson Education, Inc. All right reserved.

Copyright ©2015 Pearson Education, Inc. All right reserved. Example: Certain laboratory animals must have at least 30 grams of protein and at least 20 grams of fat per feeding period. These nutrients come from food A, which costs 18¢ per unit and supplies 2 grams of protein and 4 of fat, and food B with 6 grams of protein and 2 of fat, costing 12¢ per unit. Food B is bought under a long-term contract requiring that at least 2 units of B be used per serving. How much of each food must be bought to produce the minimum cost per serving? Solution: Copyright ©2015 Pearson Education, Inc. All right reserved.