1. Determine what is to be maximized or minimized.

       2. Write an algebraic relationship defining the 
           quantity being maximized or minimized.

       3. Write any other appropriate algebraic
           relationships.

       4. Express the quantity to be maximized or
           minimized as an equation in one variable

       5. Sketch a graph of the above relationship with 
           particular emphasis on the domain of the
           function.

       6. Determine critical values in the domain to
           determine likely places for maxima and
           minima.

       7. Determine the maximum or minimum value
           of the function over the appropriate domain.
           Be sure to check for absolute maxima and
           minima, not just relative maxima and minima .