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SIMPLEX METHOD WITH NEGATIVE SLACK VARIABLES FOR TI-83Plus & TI-82 About this program: This program is for
those who are familiar with the simplex method that uses negative slack
variables when doing problems with mixed constraints or minimization. You must
enter the first tableau in matrix [A] with the proper slack variables and with
the proper signs for the indicator row (objective function.) The program
then manipulates rows to give a first feasible solution and displays the
solution in decimal form. The solution may be displayed in fractional
form, if appropriate, by pressing ENTER. When you are finished with the
answer, press ENTER because the program is STILL RUNNING in PAUSE Mode to permit scrolling the
matrix. DISCLAIMER: This program is free, and, therefore, I make no claims about it's efficacy, efficiency, or proper operation. This is a new program as of 8/15/03. If you find a problem with this program, or can suggest improvements, please e-mail me at knosummath@aol.com . Use of this Program: You may use this program freely for your own personal use and for the use of other students, but use for publication or any means of profit in not allowed without my permission.
Now for using it: Let's do this a maximization problem: Using slack variables, the first tableau
will be this: Plug that into matrix A; go to your program and execute it. When the Menu appears, enter 1. After a few seconds your answer will be displayed. Standard Minimization problem:
(Be sure you know what standard minimization means.) We can look at this problem like this: So, our first tableau is this: Enter that into matrix A; execute the
program and enter 3 when the Menu appears. The display will be this: Notice that -5.4 is the negative of the minimum, 5.4, and that y1 = 0.6 and y2 = 1.8. Mixed ≤ and ≥ problem: Then our first tableau will be this: Enter that into matrix A; execute the
program and enter 2 from the Menu. The display will be this: Last Revised: 8/23/03 |