What is linear programming?

Lessons

• 1.
  Finding Optimal Values Given Constraints In Slope-Intercept Form

  Find the maximal and minimal value of $z=2x+3y$ subject to the following constraints:

  $y \geq x+2$
  $y \leq 3x$
  $y \leq -2x+20$

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• 2.
  Finding Optimal Values Given Constraints In Standard Form

  Given the following constraints, find the maximal and minimal value of $z=5x+6y$.

  $x \geq 0$
  $y \geq 0$
  $x-6 \leq 0$
  $-x+y \leq 6$
  $x+y \leq 8$
  $\frac{1}{2}x+y \geq 3$

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