I'm a high school student studying grade 12 maths and I need to write a 12 page paper on the Lagrange Multiplier. I have understood the mathematics behind it but I need a real equation or application of this concept which one can observe in the real world. Like an equation which has been derived from a company's revenue or something like that. This is required since I need to incorporate the use of mathematics to a real-life situation. If you cannot think of any equations right off the top of your head, could you please suggest methods to derive the equation using data? Any type of help is very much appreciated.