In this video, I work step-by-step through Tutorial 4a, beginning with a constrained optimisation problem solved using the Lagrangian method. I then illustrate the optimisation setup visually by plotting the problem in Mathematica, walking through the core Mathematica code used to generate the figure. Finally, I examine the bordered Hessian to verify second-order conditions and ensure that the critical point indeed corresponds to an optimum. If you're looking to strengthen your understanding of constrained optimisation, Lagrangians, or how to use Mathematica for economic analysis, this tutorial guides you through each component clearly and systematically.
