# What is linear programming?

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##### Intros
###### Lessons
1. What is Linear Programming?
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##### Examples
###### 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:

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

1. Finding Optimal Values Given Constraints In Standard Form

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

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

###### Topic Notes
Linear programming is the process of finding the optimized condition (the maxima and/or minima) of a function, given various linear inequalities as constraints.