In lp, if the primal problem is infeasible,it's corresponding dual problem is unbounded?

Answer 1

No, if the primal problem is infeasible, it means that there is no feasible solution that satisfies all the constraints. In this case, the corresponding dual problem may still have a feasible solution or be infeasible as well. The unboundedness of the dual problem is not directly related to the infeasibility of the primal problem.