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Ch. 3 Notes Page 19 P19 3.4b: Linear Programming.

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Presentation on theme: "Ch. 3 Notes Page 19 P19 3.4b: Linear Programming."— Presentation transcript:

1 Ch. 3 Notes Page 19 P19 3.4b: Linear Programming

2 A furniture manufacturer can make from 40 to 80 chairs a day and from 30 to 60 tables a day. It can make at most 120 pieces of furniture in one day. Linear Programming Define the variables: x = number of chairs y = number of tables

3 Linear Programming The profit on a chair is $65 and the profit on a table is $150. How many tables and chairs should they make per day to maximize profit? How much is that maximum profit?

4 Graphing Calculator Want Maximum for P = 13x + 2y Given: -3x + 2y ≤ 8 -8x + y ≥ -48 x ≥ 0 and y ≥ 0

5 3.4b: Linear Programming HW #16 3.4: P142 #9, 11, 16, 18, 24, 25

6 In your groups, complete the following: Solve by substitution:Solve by elimination: Review: Substitution and Elimination

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