1. Section 2.4.1 – Linear Programming

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

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

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

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