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Consider the following problem. Maximize Z 5 3x1 1 x2 1 2x3, subject to x1 2 x2 1 2x3 # 20 2x1 1 x2 2 x3 # 10 and x1 $ 0, x2 $ 0, x3 $ 0.

Consider the following problem.
Maximize Z 5 3x1
1 x2
1 2x3,
subject to
x1
2 x2
1 2x3
# 20
2x1
1 x2
2 x3
# 10
and
x1
$ 0, x2
$ 0, x3
$ 0.
Let x4 and x5 denote the slack variables for the respective functional
constraints. After we apply the simplex method, the final
simplex tableau is
Coefficient of:
Basic Right
Variable Eq. Z x
1
x
2
x
3
x
4
x
5 Side
Z (0) 1 8 0 0 3 4 100
x
3 (1) 0 3 0 1 1 1 30
x
2 (2) 0 5 1 0 1 2 40

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