Third Example: Modeling (1.4) and

Practical Optimization (3.5)

An agent wants to maximize (or minimize) a certain variable, which we call the target variable. He or she does this by choosing the value for some so-called choice variable. There may be more variables involved, we call these the other variables. Consider the following example:

A cone is made from a circular piece of paper (of radius 10) by cutting off a sector and glueing together the blue edges AB and AC. Find the maximum volume of such a cone. Note: The volume of a cone of height h and radius r for the base circle equals

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Erich Prisner, November 2004