1. (Essentially Problem 9.6) Consider a hybrid apportionment method that we call the Hamster method: Use the method of Webster unless a quota violation results. In that case, use the method of Hamilton instead. Answer yes or no and give a proof in each case (note that "no" answers usually require a counterexample, but mentioning a theorem is sometimes sufficient, as is the case here) (a) Does the method satisfy the quota rule? (b) Does the method satisfy the order-preserving property? (c) Is the method population monotone