Applied optimization

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After completing this section, students should be able to do the following.

Recognize optimization problems.
Translate a word problem into the problem of finding the extreme values of a function.
Solve basic word problems involving maxima or minima.
Interpret an optimization problem as the procedure used to make a system or design as effective or functional as possible.
Set up an optimization problem by identifying the objective function and appropriate constraints.
Solve optimization problems by finding the appropriate absolute extremum.
Identify the appropriate domain for functions which are models of real-world phenomena.