Consider the following statements :
(a) If primal (dual) problem has a finite optimal solution, then its dual (primal) problem has a finite optimal solution.
(b) If primal (dual) problem has an unbounded optimum solution, then its dual (primal) has no feasible solution at all.
(c) Both primal and dual problems may be infeasible.
Which of the following is correct ?
(A) (a) and (b) only
(B) (a) and (c) only
(C) (b) and (c) only
(D) (a), (b) and (c)
Answer: (D)
Explanation:
- If primal (dual) problem has a finite optimal solution, then its dual (primal) problem has a finite optimal solution.Correct
- If primal (dual) problem has an unbounded optimum solution, then its dual (primal) has no feasible solution at all.Correct
- Both primal and dual problems may be infeasible.Correct
So, option (D) is correct.
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