using the simplex method how do I choose the entering variab
using the simplex method, how do I choose the entering variable when there are two equal and negative number?
| z | x1 | x2 | x3 | x4 | x5 | RHS | |
| z | 1 | -2 | -2 | 0 | 0 | 0 | 0 |
| x3 | 0 | 0 | 1 | 1 | 0 | 0 | 10 |
| x4 | 0 | 1 | -3 | 0 | 1 | 0 | 2 |
| x5 | 0 | 1 | 1 | 0 | 0 | 1 | 16 |
Solution
In Simplex method, if there are two or more entering variables has same value, then you can choose any one of them without any restriction. Here x1 and x2 have same value -2, so you choose any one as entering variable.
| z | x1 | x2 | x3 | x4 | x5 | RHS | |
| z | 1 | -2 | -2 | 0 | 0 | 0 | 0 |
| x3 | 0 | 0 | 1 | 1 | 0 | 0 | 10 |
| x4 | 0 | 1 | -3 | 0 | 1 | 0 | 2 |
| x5 | 0 | 1 | 1 | 0 | 0 | 1 | 16 |
