Question [2): This is a 'bonus question' - it will not be marked. I provide it as an opportunity to 'mess around' some more with utility maximization. I highly recommend you attempt it at some point. This question requires you to combine 'diagramatic' techniques and logic in order to characterize solutions, which you then need to translate into some equations you can solve to get an answer. The math here is not hard, it is more a question of what math to do, and keeping track of a bunch of cases. Consider preferences represented by the utility function u(x) = min{(r, + 5:2), (2x1 + 2x2), (5:, + 12) } Derive Walrasian demand and draw representations of the Engel Curves, Income Expansion path, Demand Curves, and Price Offer curve for some endowment. (Yes - some of these curves' are actual 'regions/sets' for some parameter values. Nothing wrong with multi- valued mappings, unless you insist on only ever doing calculus!)