Students at all levels benefit from a multi-faceted approach to learning abstract material. The most commonly used technique in teaching the pure theory of international trade is a combination of geometry and algebraic derivations. Numerical simulation can provide a valuable third support to these approaches. The author describes a simple numerical nonlinear program that reinforces a widely used geometric device for teaching the factor-proportions theory. The basic model can be easily adapted to demonstrate a wide variety of models and results from the pure theory, of international trade. The author describes the model and gives suggestions for its use as a teaching device. The author discusses extensions and further applications of the model to other important results in international trade theory.