1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 1 Homework, Page 623 Match the inequality with its graph. State whether or not the boundary is included. 1. c. Boundary is included.

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 2 Homework, Page 623 Match the inequality with its graph. State whether or not the boundary is included. 5. e. Boundary is included.

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 3 Homework, Page 623 Graph the inequality. State the boundary of the region. 9. Boundary:

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 4 Homework, Page 623 Graph the inequality. State the boundary of the region. 13. Boundary:

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 5 Homework, Page 623 Solve the system of inequalities. 17.

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 6 Homework, Page 623 Solve the system of inequalities. 21.

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 7 Homework, Page 623 Solve the system of inequalities. 25.

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 8 Homework, Page 623 Write a system of inequalities whose solution is the region shaded in the given figure. All boundaries are included.. 29.

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 9 Homework, Page 623 Find the minimum and maximum of the objective function, if they exist, subject to the constraints. 33.

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 10 Homework, Page 623 37. Pearson’s Metal mines two ores, R and S. The company extracts minerals A and B from each type of ore. It costs $50 per ton to extract 80 lb of A and 160 lb of B from ore R. It costs $60 per ton to extract 140 lb of A and 50 lb of B from ore S. Pearson’s must produce at least 4000 lb of A and 3200 lb of B. How much of each ore should be processed to minimize cost? What is the minimum cost?

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 11 Homework, Page 623 41. The graph of a linear inequality is a half-line. Justify your answer. False, the graph of a linear inequality is a half-plane.

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 12 Homework, Page 623 Refer to the following linear programming problem. 45. Which of the following is not a corner point? a.(0, 0) b.(5, 0) c.(0,4) d.(3, 4) e(3.6, 2.8)

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 7- 13 Homework Homework Assignment #14 Review Sections 2.4 – 2.8, 3.1 – 3.6, 7.1 – 7.5 Page 626, Exercises: 1 – 81(EOO) Midterm Exam next time