The application of linear and non-linear programming duality theory to capital budgeting models had resulted in the identification of various properties of optimal solutions and has provided economic interpretations of the models. This paper illustrates that similar results may be obtained for discrete capital budgeting models by applying recent advances in duality theory for integer programming problems (1), (2), and (3).In addition, a dual solution method is developed that permits a degree of decentralization of a firm's capital budgeting decision.