Could you please help me with the assignment below? Please ask me any questions should you have any.

QUESTION:

This project requires you to apply the course material to formulate and solve an economic problem. You can choose any topic from; Matrix and Vector Algebra, Determinants and Inverse Matrices, One-Variable Derivatives, Comparative Statics, Multivariable Optimization, Constrained Optimization, and Integration.

Instead of the prof and the textbook authors trying to dream up a real-life example, you have to dream up a real-life example. Similar to the prof or textbook examples, your "real life" example does not have to be perfectly realistic. For example, in real life, you may buy more than two items at a grocery store. But in your example, there will just be two goods or two items, etc. Use our existing theoretical tools - for example, Cobb Douglas (production function), or Linear preferences. Explain the real-life situation you are trying to illustrate. Show your equations and explain each variable used. Explain why the equations (e.g. Cobb Douglas utility function), tools (e.g. Derivatives, elasticity, linear algebra) and variables (e.g. Labour, capital) you have chosen are appropriate.