The Brazilian Civil Aviation Agency's (ANAC) surveillance missions have great relevance for the effectiveness of its performance. Hence, several studies have already aimed to optimize this process, and mathematical models are conceived for this purpose. However, some of these linear programming models have a degenerate structure, which compromises their sensitivity analysis related to the dual model andfitrther analysis of the model's scenarios. Thus, the objective of this work is to present a case study consisting of ways to perform sensitivity analysis in ANAC 's mathematical models with degenerate solutions. To that end, the method of sensitivity analysis proposed by Koltai and Tatay (2011) is applied in a mathematical model elaborated to assist in the designation of inspectors for surveillance missions in ANAC 's Operational Standards Superintendence (SPO), as proposed by Pinheiro (2018). Finally, the objective was achieved and this article contributes to the Academy and the market by presenting a reference of how to perform a more assertive sensitivity analysis in a degenerate case.