Step 1 We convert the LP problem into a system of linear equations by putting in the slack variables and rewriting the objective function:

7x

+

z

+

s

=

6

x

+

2y

+

t

=

20

+

3y

+

4z

+

u

=

30

x

2y

3z

+

p

=

0

Thus, the initial tableau is as follows.

x	y	z	s	t	u	p		Ans
7	0	1	1	0	0	0		6
1	2	0	0	1	0	0		20
0	3	4	0	0	1	0		30
1	2	3	0	0	0	1		0

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