Web Reference: Duality in Linear Programming 4 In the preceding chapter on sensitivity analysis, we saw that the shadow-price interpretation of the optimal simplex multi. liers is a very useful concept. First, these shadow prices give us directly the marginal worth of an addition. The weak duality theorem states that the objective value of the dual LP at any feasible solution is always a bound on the objective of the primal LP at any feasible solution (upper or lower bound, depending on whether it is a maximization or minimization problem). an infrequently used aspect of duality. Therefore, we concentrate on the study of duality as a mean of gaining insight into the LP solution. We will also discuss the ways that primal decision variables place constraint
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