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- System of Inequalities

Still Confused?

Try reviewing these fundamentals first.

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Try reviewing these fundamentals first.

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Get Started Now- Lesson: 111:32
- Lesson: 26:13

Basic concepts: Graphing systems of linear inequalities,

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

- 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:

$y \geq x+2$

$y \leq 3x$

$y \leq -2x+20$ - 2.
**Finding Optimal Values Given Constraints In Standard Form**Given the following constraints, find the maximal and minimal value of $z=5x+6y$.

$x \geq 0$

$y \geq 0$

$x-6 \leq 0$

$-x+y \leq 6$

$x+y \leq 8$

$\frac{1}{2}x+y \geq 3$