The aim in this tutorial is to to see three different ways to build a model: by rows, by columns, or by nonzeros. After building the model of the problem in one of those ways, the application optimizes the problem and displays the solution.

Write a natural language description of the problem and answer these questions:

Building a Small LP Problem in C#

Here is a conventional formulation of the problem that the example optimizes:

Maximize	x1 + 2x2 + 3x3
subject to	-x1 + x2 + x3 20  x1 - 3x2 + x3 30
with these bounds	0 x1 40  0 x2 +  0 x3 +