(xii) Costs in objective function in phase 2 of two phase method are (a) Actual coefficients (b) Zero (c) -1 (d) None of these (xiii) The right hand side constant of a constreintin a primal problem appears in the corresponding dual as : (a) A coefficient in the objective function (b) A right-hand side constant of a constraint in a (c) An input-output coefficient (d) None of these

In the two-phase method for linear programming, the objective function in phase 2 relies on the actual coefficients from the original function, as it aims to optimize the original problem after achieving feasibility in phase 1. This phase is crucial because it ensures you are working with a feasible solution that still maintains all constraints while maximizing or minimizing the correct objective. When delving into duality in linear programming, the right-hand side constant of a constraint in a primal formulation becomes a coefficient in the objective function of the corresponding dual. This dual relationship is fascinating because it provides a powerful way to understand and analyze optimization problems, revealing insights on resource allocation and constraints from different perspectives!