Warm Up Is (4,2) a solution to the system Y > 3x – 2 5y + 4x < 20.

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Presentation transcript:

Warm Up Is (4,2) a solution to the system Y > 3x – 2 5y + 4x < 20

Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation. Give two possible solutions

You can work at most 20 hours next week. You need to earn at least $90 to cover you weekly expenses. Your dog- walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Write a system of linear inequalities to model the situation. Give two possible solutions

3-6: Linear Programming Linear programming is a process of finding a maximum or minimum of a function by using coordinates of the polygon formed by the graph of the constraints.

What is a constraint? A restriction... A boundary… A limitation…

What is the feasible region? The feasible region is the area of the graph in which all the constraints are met.

Complete the worksheet and turn in!