We tackle two open questions from Leitgeb and Pettigrew (2010b) regarding what the belief update framework described in that paper mandates as correct responses to two problems. One of them concerns credences in overlapping propositions and is known in the literature as the "simultaneous update problem". The other is the well known "Judy Benjamin" problem concerning conditional credences. We argue that our results concerning the problems point to deficiencies of the framework. More generally, we observe that the method of minimizing inverse relative entropy seems to work better than (or at least equally well as) its competitors in many situations.