(0, 0) (36, 0) (30, 4) (0, 10) WARM UP: a. Graph the system of inequalities. b. What are the vertices of the solution? Write your answers as ordered pairs.

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(0, 0) (36, 0) (30, 4) (0, 10) WARM UP: a. Graph the system of inequalities. b. What are the vertices of the solution? Write your answers as ordered pairs.

Section 9.5 day 1 – Linear Programming After this lesson, you should be able to: Determine the min. and max. values based on the objective function.

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) objective function

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)

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)

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)

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)

Section 9.5 day 1 – Linear Programming After this lesson, you should be able to: Determine the min. and max. values based on the objective function. HOMEWORK: pg , 14, 18