Cleatus receives utility for consuming pretzels (P) and other goods (G). a. Describe his preferences between bundles 4 = (16, 4). B = (9.9) and C = (0, 100) if his utility function is u(P,G) = PG b. Without calculating it explicitly, how will his preferences change if his utility function changes to v(P.G)=PG? Briefly explain. c. Without calculating it explicitly, how will his preferences change if his utility function changes to w(P.G)=PG +10? Briefly explain. Lottery X X = (4.: C.) and Lottery ) Y = B. d. Describe his preferences between lotteries X and Y if his utility function is u(P, G). e. Describe his preferences between lotteries X and Y if his utility function is v(P, G). f. Describe his preferences between lotteries X and Y if his utility function is w(P. G). g. Comment on the results from (d), (e) and (f).