Step 1 We convert the LP problem into a system of linear equations by putting in the slack variables and rewriting the objective function:
x | + | y | + | z | + | s | = | 40 | ||||||
2z | + | y | - | z | - | t | = | 10 | ||||||
- | y | + | z | - | u | = | 10 | |||||||
2x | 3y | z | + | p | = | 0 |
Thus, the initial tableau is as follows.
x | y | z | s | t | u | p | Ans | ||
s | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 40 | |
t | 2 | 1 | -1 | 0 | -1 | 0 | 0 | 10 | |
u | 0 | -1 | 1 | 0 | 0 | -1 | 0 | 10 | |
p | -2 | -3 | -1 | 0 | 0 | 0 | 1 | 0 |
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