Barely consistent. It is possible for Chris to prefer the West piece if the cake is cut from the point marked W and the East piece if the cake is cut from the point marked E, even though the West piece is actually larger when cut from the point Ethanitis when cut from the point W. Suppose each pail of the cake has a value measured by the number written on the accompanying figure. What value could Chris view the shaded part of the cake as having in order to make the preference of East when the cake is cut from E consistent with the choice of West if the cake is cutfromW?
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