(Solved): 1. Consider the dual canonical tableau. Prove that a) If b>0 and c>0, then the primal proble ...

1. Consider the dual canonical tableau. Prove that a) If $b>0$ and $c>0$, then the primal problem (the maximization problem) is unbounded and the dual problem is infeasible. b) If $b>0$ and $c<0$, then both primal and dual problem have an optimal solution. c) If $b<0$ and $c>0$, then both primal and dual problems are infeasible. d) If $b<0$ and $c<0$, then the primal is infeasible and the dual is unbounded.