1. A consumer has preferences represented by the utility function u(x1, x2) = √ (x1x2). If she faces prices p1 = 1 and p2 = 5, and has income m = 10, what are her demands for goods 1 and 2?

2. A consumer has preferences represented by the utility function u(x1, x2) = 1 2 ln x1 + 1 2 ln x2. If she faces prices p1 = 1 and p2 = 5, and has income m = 10, what are her demands for goods 1 and 2? Are the demands the same as those you obtained in Question 1? Can you explain why?