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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