To find the active variables, look for the columns that are "cleared" (all zeros except for a single entry). In the given tableau, these columns are the "s", "t", "u", and "p" columns. The corresponding rows are named with the name of the active variable in question:
x | y | z | s | t | u | p | Ans | ||
7 | 0 | 1 | 1 | 0 | 0 | 0 | 6 | s = 6/1 = 6 Active variable: s | |
1 | 2 | 0 | 0 | 1 | 0 | 0 | 20 | t = 20/1 = 20 Active variable: t | |
0 | 3 | 4 | 0 | 0 | 1 | 0 | 30 | u = 30/1 = 30 Active variable: u | |
1 | 2 | 3 | 0 | 0 | 0 | 1 | 0 | p = 0/1 = 0 Active variable: p |
Therefore, the names of the active variables to fill in are:
Row 1: s |
Row 2: t |
Row 3: u |
Row 4: p |
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