I want to know thanks to the dual theorem wether the following basis is or isn't optimal. That is to say looking for the slack variables.
As far as the third line doesn't respect the constraints:
$$7-5/6=37/5\ge 5$$
Can I say this program is therefore not optimal?
What the rules usualy to say if a primal is optimal, feasible, bounded when knwoing the state of its dual?