Given the following statements with respect to linear programming problem:
S1: The dual of the dual linear programming problem is again the primal problem
S2: If either the primal or the dual problem has an unbounded objective function value, the other problem has no feasible solution
S3: If either the primal or the dual problem has a finite optimal solution, the other one also possess the same, and the optimal value of the objective functions of the two problems are equal.
Which of the following is true?
- S1 and S2
- S1 and S3
- S2 and S3
- S1, S2 and S3