A learning tool that performs the simplex method (Phase 2 of the Two-Phase Algorithm). This requires your tableau be in canonical form, has a basic variable in each row, to guarantee termination.
Creates a window containing grid cells representing the input simplex tableau. There are buttons for single-step iteration, iteration to completion, resizing, and undoing. It's still a work in progress, so I expect bugs to arise as it gets used more.
The editor also supports common math functions through mXparser.
Here, the program solves the problem:
Minimize -4X1 - 6X2 Subject to -X1 + X2 + S1 = 11 X1 + X2 + S2 = 27 2 X1 + 5 X2 + S3 = 90 X1, X2, S1, S2, S3 >= 0
Where S1, S2, S3 are slack variables added to put this in standard form.
This program now supports dual programs! You must put it into the form
Minimize f(x,...) Subject to Ax >= b
Minimize 12 X1 + 15 X2 Subject to 60 X1 + 50 X2 >= 200 10 X1 + 3 X2 >= 19 11 X1 + 13 X2 >= 8 X1, X2 >= 0