(b) It is also natural to ask whether a baseline-maximizing matching can always be supported by market-clearing prices. Here is a precise way to ask the question. For any equalsized sets of sellers and buyers, with valuations on the buyers, is there always a set of marketclearing prices so that the resetting preferredsetter graph contains a baselinemamimizing perfect matching M .9 Give a yeso answer to this question, together with a justication of your answer. {If you answer \"yes,\" you should explain why there must always exist such a set of market clearing prices; if you answer \"no," you should explain why there can be examples in which a baseline-maximising matching cannot be found in the preferred-seller graph resulting from market-clearing prices.)