1. Suppose Jane buys only two goods X and Y , and she spends an income I on these two products. Suppose the price of X is px and the price of Y is py. She derives utility by consuming X and Y. The amount of utility she gets by consuming x units X and y units of Y is given by the utility function U(x; y) = xy.
2. Determine her demand curve for X.
3. How would your answer change if her utility function is U(x; y) = x + 2y?
4. How would your answer change if her utility function is U(x; y) = min (x; 2y)? That is, x and y are perfect complements.