1.6 Linear Programming Pg. 30.

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Presentation transcript:

1.6 Linear Programming Pg. 30

Solve Linear Programming Problems In 1.4 and 1.5 we have learned to graph Linear Inequalities and Systems of Linear Inequalities, now we will extend this one step further. We will use terms like Objective Function and Constraints, to find our Feasible Region. If this region is bounded, then our objective function will have maximum and minimum values on the region, these are found at the vertices of the constraints

Maximize Profits

Work Area

Example 2 Graph the constraints and find the vertices

Step 2 (Find the min and max of the objective function)

Homework Pg 32 1 – 9 all Pg 33, 1 – 6 all