Problem 10 (20 points total. 6, 7, and 7 points each respectively.) Suppose Karl's utility function is given by: UK(x, y) = xy3 while Mary's utility function is given by: UM(x, y) = In(x) +y. Suppose the income of each is 100 usd, and the initial prices are Pr = 1 and py = 2. (i) What are the demands of x for each one of them? And for y? (ii) Suppose the price of x increases to pr = 2. What is the compensated variation for Karl and Mary? (iii) What is the equivalent variation for each of them