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Class Opener:

Class Opener:. Sketch a graph of the system of constraints. Name the vertices. Then find the values of x and y that maximize and minimize the given objective function: . Example:.

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Class Opener:

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  1. Class Opener: • Sketch a graph of the system of constraints. Name the vertices. Then find the values of x and y that maximize and minimize the given objective function:

  2. Example: • Graph the system of constraints. Name the vertices. Then find the values of x and y that maximize and minimize the given objective function:

  3. Example: • Graph the following system of inequalities on your calculator: • Identify the value of the vertices.

  4. Guided Notes: Word Problem • Suppose you are selling cases of mixed nuts and roasted peanuts. You can order no more than a total of 500 cans and packages and spend no more than $600. There are 12 cans per case and 20 packages per case. How can you maximize your profit. How much is the maximum profit?

  5. Steps to Solve: • Step 1: Define our variables • Step 2: Make a table • Step 3: Write and Simplify Constraints • Step 4: Solve

  6. More Guided Notes: • Teams chosen from 30 forest rangers and 16 trainees are planting trees. An experienced team consisting of two rangers can plant 500 trees per week. A training team consisting of one ranger and two trainees can plant 200 trees per week. How many of each type of team should be formed to maximize the number of trees planted.

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