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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?

  1. S1 and S2
  2. S1 and S3
  3. S2 and S3
  4. S1, S2 and S3
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all 3 statements are correct as they all  are properties of dual and primal

hence ans should be D
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