This thesis explored optimizing functionally graded sandwich panels for minimum mass and deformation under a sinusoidal load. Using a parameterized model in ANSYS, the study efficiently explored the design space to find the best trade-off between these conflicting objectives. Evolutionary and Particle Swarm Optimization algorithms were employed to navigate the complex design space and converge towards optimal solutions. The results offer valuable insights for designing functionally graded materials, enabling engineers to tailor material properties for specific performance requirements. By balancing mass minimization and deformation control, the study provides a framework for enhancing the structural performance of these advanced materials.