Multi-Criteria Decision Aid [MCDA] framework is increasingly applied in a number of applications that include supply chain optimization, product-mix decisions involving multiple goals, construction of optimum mutual fund portfolios, and product design. Multiple-objective Linear Programming [MOLP], known by the term “Goal Programming” [GP], a model to implement MCDA, is used to obtain a solution that satisfies management’s multiple and conflicting goals, which are prioritized through ordinal ranking and assignment of differential weights for sub-goals. There are different ways of solving priority structure goal-programming models. The conventional way is to solve a sequence of Linear Programming [LP] problems that tends to get tedious in getting the solution as well as performing sensitivity analysis. This paper focuses on a weighted penalty cost approach [WPCA] that is much simpler to use in solving priority goal programming problems. In addition, WPCA gives an opportunity to perform sensitivity analysis with ease for management decision support in the context of priority goals.