Explore scalable design and optimization techniques using MFEM in this 22-minute conference talk from the MFEM Workshop 2023. Delve into recently added and ongoing code developments that facilitate solving shape and topology optimization problems. Learn about gradient-based iterative algorithms for finding optimal material distributions, including forward problem solutions, objective and constraint evaluations, adjoint problem solutions, gradient calculations, and design updates using mathematical programming techniques. Discover how MFEM simplifies implementation and enables scalable execution for large-scale industrial problems. Gain insights into future developments and techniques that streamline the implementation of new optimization challenges.