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Solving the Model

Since this model has only two variables, we can solve the problem in two ways: graphically and using SOLVER (with SOLVER being much easier). We start by solving this graphically.

The first step is to graph the feasible region, as given in the following figure:

  figure174
Figure 1.4: Marketing example

The next step is to put some iso-cost lines on the diagram: lines representing points that have the same cost. We mark the optimal point with an X.

  figure208
Figure 1.5: Marketing example with Isocost Line

X is the intersection of the constraints:

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The optimal solution is tex2html_wrap_inline935 and tex2html_wrap_inline937


Michael A. Trick
Mon Aug 24 14:40:57 EDT 1998