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MCS 118 Fall, 2013

Learn how to find the maximum or minimum values of a quantity by using optimization techniques. Understand the steps involved in solving optimization problems and identify the global extrema.

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MCS 118 Fall, 2013

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  1. MCS 118 Fall, 2013 Nov. 15, 2013

  2. MCS 118, 11/15/13 Announcements Homework due Monday

  3. MCS 118, 11/15/13 Today’s schedule Review finding global extrema Modeling and optimization problems

  4. MCS 118, 11/15/13 Hints for optimization problems Read the problem. Ask what do you want to optimize, and what are the constraints. Draw a picture. Label everything. If it is a fixed value, label it with the value. If the value can vary, label it with a variable. Find an equation for the quantity that you want to optimize. Label it as the optimizing equation. Find an equation(s) that expresses the constraints. Label it as the fixed equation.

  5. MCS 118, 11/15/13 Hints for optimization problems Solve your fixed equation(s) for your favorite variable(s) and substitute in the optimizing equation. Figure out endpoints that make sense. Should these endpoints be included in your interval? Use the techniques from before to find the global extremum. Be sure to justify why it is an extremum. Answer the question in the problem.

  6. MCS 118, 11/15/13 Coming up: Next week: More modeling problems

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