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2-7 Linear Programming

2-7 Linear Programming. Pre Calc A. Vocabulary . Feasible Region Constraints Minimum maximum. Steps to Solve Linear Programming Problems. Define variables Write the profit equation Write the constraints as a system of inequalities Graph the system

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2-7 Linear Programming

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  1. 2-7 Linear Programming Pre Calc A

  2. Vocabulary • Feasible Region • Constraints • Minimum • maximum

  3. Steps to Solve Linear Programming Problems • Define variables • Write the profit equation • Write the constraints as a system of inequalities • Graph the system • Find the coordinates of the vertices of the feasible region • Substitute coordinates into the profit equation • Find the minimum and maximum

  4. Ex 17: • Myra’s candy factory packages bags of mixed nuts. Myra has 75 lbs of cashews and 120 lbs of peanuts. They are to be mixed in 1 lb packages in the following way: a low grade package contains 4 oz of cashews and 12 oz of peanuts and a high grade package contains 8 oz of peanuts and 8 oz of cashews. A profit of $0.35 per package will be made on the low grade mixture and a profit of $0.55 will be made on the high grade mixture. How many packages of each mixture should Myra make to obtain maximum profit?

  5. Ex 17 cont: x = y = P(x) = Constraints:

  6. Graph

  7. Find the minimum and maximum Final answer:

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