1. Section 9.5 – Linear Programming

2. (-3, 21) (0, -3) (-3, -3)

3. a)Sketch a graph, labeling the points of intersection. b)Find the maximum value of z and state where it occurs. (0, 0) (36, 0) (30, 4) (0, 10) The maximum of 400 occurs at (30, 4)

4. a)Sketch a graph, labeling the points of intersection. b)Find the maximum value of z and state where it occurs. (0, 0) (0.5, 0) (0, 0.33) The maximum of 20 occurs at (0, 0.33)

5. a)Sketch a graph, labeling the points of intersection. b)Find the minimum value of z and state where it occurs. The minimum of 20 occurs at (20, 0) (0, 25) (10, 5) (20, 0)

6. a)Sketch a graph, labeling the points of intersection. b)Find the minimum value of z and state where it occurs. The minimum of 2 occurs at (2, 0) (2, 0) (10, 0) (0, 10) (0, 3)

7. a)Sketch a graph, labeling the points of intersection. b)Find the maximum value of z and state where it occurs. The maximum of 49 occurs at (5, 12) (6, 4) (3, 8) (5, 12) (3, 2)