Consider the following statements:: If primal (dual) problem has a finite optimal solution, then its dual (primal) problem has a finite optimal solution. - If primal (dual) problem has an unbounded optimum solution, then its dual (primal) has no feasible solution at all. - Both primal and dual problems may be infeasible. Which of the following is correct?

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Consider the following statements:: If primal (dual) problem has a finite optimal solution, then its dual (primal) problem has a finite optimal solution. - If primal (dual) problem has an unbounded optimum solution, then its dual (primal) has no feasible solution at all. - Both primal and dual problems may be infeasible. Which of the following is correct?