# What is linear programming?

##### Intros

##### Examples

###### Lessons

**Finding Optimal Values Given Constraints In Slope-Intercept Form**Find the maximal and minimal value of $z=2x+3y$ subject to the following constraints:

$y \geq x+2$

$y \leq 3x$

$y \leq -2x+20$**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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###### 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.

###### Basic Concepts

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