# 8: Optimization

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• 8.1: Optimization
Optimization aims to obtain the best results in a given situation, or to minimize input to maximize benefit
• 8.2: Linear Optimization
Linear optimization is a method applicable for the solution of problems in which the objective function and the constraints appear as linear functions of the decision variables. The constraint equations may be in the form of equalities or inequalities. Linear optimization determines the way to achieve the best outcome (e.g., to maximize profit or to minimize cost) in a given mathematical model and given some lists of requirements represented as linear equations.
• 8.3: Non-linear Optimization
Various conditions and situations are not adequately described using linear systems. In this case, nonlinear optimization may be applied. Unlike linear optimization, the optimal operating condition does not exist at the boundaries.

8: Optimization is shared under a CC BY 3.0 license and was authored, remixed, and/or curated by Peter Woolf et al. via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.