Fifth 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 cylindrical can should hold 333 ml of orange juice. The cost per square inch of constructing the top and bottom is 5 cent, and the cost per square inch for constructing the side is 3 cent. For which design is the total cost of the can minimized?

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Erich Prisner, November 2004