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Section 3-4

Section 3-4. Linear Programming. Solving for Minimums or Maximums with constraints . Graph the inequalities(CONSTRAINTS) & shade Identify the overlapping region Identify the corners of the region Test the corners to identify the max or min. Maximums & Minimums.

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Section 3-4

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  1. Section 3-4 Linear Programming

  2. Solving for Minimums or Maximums with constraints • Graph the inequalities(CONSTRAINTS) & shade • Identify the overlapping region • Identify the corners of the region • Test the corners to identify the max or min

  3. Maximums & Minimums • If a maximum or minimum exists, they will occur at a corner point.

  4. Example • Given: • Find the point (x,y) that Minimizes C=5x+3y

  5. Example • Given: • Find the point (x,y) that Maximizes P=3x+2y

  6. Example Constraints:

  7. Example Constraints: MAXIMIZE PROFIT: P=60x+40y

  8. Example Constraints: MINIMIZE COST:

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