Utility Maximization: Lagrange Method | Mathematical Approach to Consumer Behavior in Microeconomics

In this video, I explain step-by-step how to solve the consumer utility maximization problem mathematically. Building on the previous graphical approach, we now rely on the method of Lagrange to find the optimal consumption bundle given a budget constraint. Content: How to set up the utility maximization problem The role of marginal utilities and the budget constraint in the mathematical approach How to construct the Lagrangian function Deriving first-order conditions Why the ratio of marginal utilities equals the ratio of prices at the optimal choice The connection between the mathematical and graphical results in consumer theory Intended for economics students, exam preparation, and anyone who wants to understand the mathematical side of consumer behavior. #microeconomics #maximization, #Lagrange #consumerbehavior #marginalutility #indifferencecurve