Question 1: Consider an agent with preferences represented by the utility function: u(z,y) =z +2./y (a) For each pair of bundles, indicate which is preferred or if the agent is indifferent between the two. Show your work. (4 points) Pair 1: A(3,9) and B(2,8) Pair 2: C'(4,7) and D(8,4) Pair 3: E(7,10) and F(10, 10) Pair 4: G(6,9) and H(9,6) (b) Using the bundles in (a), make a list that orders the bundles according to the agent's preferences. Start the descending list with the most preferred bundle and end with the least preferred bundle. Use > or ~ in your descending list. (2 points) () Consider a bundle K = (:r, %), where K contains a % unit of good y and some amount of good x. If the consumer is indifferent between bundle K and the bundle L = (4,4), how much of good z does the bundle K contain? (4 points)