In this study, we investigate the outcome of optimizing a battery-pack system using a multi-objective approach. First, a multi-objective optimization problem for the battery-pack system is solved to generate the Pareto-optimal solutions. Subsequently, a comprehensive analysis on the obtained Pareto-optimal solutions is conducted to decipher relationships among the design variables and objective function that are responsible for trade-off between objectives. The analysis also involves identifying critical design variables influencing the objectives. The results of the analysis offer valuable insights that can help designers to optimize and design the battery-pack system.