Consider the following statements with respect to duality in LPP:
(a) The final simplex table giving optimal solution of the primal also contains optimal solution of its dual in itself.
(b) If either the primal or the dual problem has a finite optimal solution, then the other problem also has a finite optimal solution.
(c) If either problem has an unbounded optimum solution, then the other problem has no feasible solution at all.
Which of the statements is (are) correct?
(A)
only (a) and (b)
(B)
only (a) and (c)
(C)
only (b) and (c)
(D)
(a), (b) and (c)
Answer: (D)
Explanation:
linear programming is a technique that helps us to find the optimum solution for a given problem, an optimum solution is that solution that is the best possible outcome of a given particular problem. In simple terms, it is the method to find out how to do something in the best possible way in given limited resources you need to do the optimum utilization of resources to achieve the best possible result in a particular objective. such as least cost, highest margin, or least time on those resources have alternate uses The situation which requires a search for best values of the variables subject to certain constraints are amendable programming analysis. These situations cannot be handled by the usual tools of Calculus or marginal analysis. The calculus technique can only handle exactly equal constraints while this limitation does not exist in the case of linear programming problems.
So that all options are correct.
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