initial tableau help please

Navyguy

Junior Member
Joined
Jul 24, 2006
Messages
71
For the standard minimum problem: Minimize z=8xsub1+4xsub2+9xsub3, subject to
xsub1+2xsub2+5xsub3>=to 40
3xsub1+4xsub2+xsub3>=to 50
2xsub1+6xsub2+7xsub3>=to 60
xsub1^30,xsub2^30,xsub3>=to0

The initial tableau for the dual problem is. My answer is

1 2 5 1 0 0 0 40
3 4 1 0 1 0 0 50
2 6 7 0 0 1 0 60
-8 -4 -9 0 0 0 1 0 is this right. thanks for any help given.
 
Navyguy said:
For the standard minimum problem: Minimize z=8xsub1+4xsub2+9xsub3, subject to
xsub1+2xsub2+5xsub3>=to 40
3xsub1+4xsub2+xsub3>=to 50
2xsub1+6xsub2+7xsub3>=to 60
xsub1^30,xsub2^30,xsub3>=to0

The initial tableau for the dual problem is. My answer is

1 2 5 1 0 0 0 40
3 4 1 0 1 0 0 50
2 6 7 0 0 1 0 60
-8 -4 -9 0 0 0 1 0 is this right. thanks for any help given.
It's not right. Review the relationships between the primal and dual problems. The coefficient vector of the primal objective function becomes the constant vector of the dual and vice versa. The coefficient matrix is transposed.
 
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