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Homework, Page 623

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Match the inequality with its graph. State whether or not the boundary is included.

1.

c.

Boundary is included.

Match the inequality with its graph. State whether or not the boundary is included.

5.

e.

Boundary is included.

Graph the inequality. State the boundary of the region.

9.

Boundary:

Graph the inequality. State the boundary of the region.

13.

Boundary:

Solve the system of inequalities.

17.

Solve the system of inequalities.

21.

Solve the system of inequalities.

25.

Write a system of inequalities whose solution is the region shaded in the given figure. All boundaries are included..

29.

Find the minimum and maximum of the objective function, if they exist, subject to the constraints.

33.

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?

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.

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)

- 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