This may be quite difficult to describe, but I'll try my best...
Consider a simplex tableu, where you're currently trying to find the pivot point, after having found out your pivot column.
From here we understand we must divide our Right Hand Side (RHS) column by our values in the corresponding pivot column. Now suppose one of our numbers in the RHS column was 0, if we were to divide this number by its corresponding pivot column number, we would automatically be able to deduce that this is equal to 0. Since this is 0, our obvious lowest number, do we take that number corresponding to it in the pivot column as our pivot point?
The reason I ask is because I attempted a question on OCR Decision 1 Misc 8 Exercise 2, and when I was faced with this situation, I assumed it was in fact the pivot point, but ended up with an incorrect answer, so I'm concerned as to whether this is a general rule with the Simplex method or I'm just making silly mistakes. Since the only rules I'm aware of when considering the pivot row are...
1. You ignore dividing the RHS by the corresponding pivot column if the RHS value is negative
2. You ignore dividing the RHS by the corresponding pivot column if the pivot column value is 0 (since this will give infinity)
Thank you very much, much help would be appreciated :-)
Last edited by BobGreggary; 04-05-2012 at 23:59.