u(x) = min{(x1 + 5x2), (2x1 + 2x2), (5x1 + x2)}

Derive Walrasian demand. [Hint: this is a function of income and price ratio. So one straight forward way to get demand is to pick some point on the vertical axis (which is the point m/p2, and then in your mind's eye rotate a budget from very steep to quite flat from that point. As you do so, you are effectively varying p1 from high to low. Take note of the optimal bundle. You can then characterize it by (a) being on the budget and (b) being on some ray from the origin, or on a region of budget. Solve the resulting two equations.]