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In our discussion of the permanent income hypothesis we categorized income as either permanent or temporary. Furthermore, we categorized people as either "consumption smoothers" or "hand-to- mouth." c. Using the notation below, with superscripts Sand H for smoothers and hand-to-mouth consumers, write (a) mathematical statement or statements comparing these marginal propensities to consume. You may need to refer to your notes. MPCperm, MPCfemp, MPCerm, MPCHemp d. Next, write a generic linear consumption function (using constants like 'a' for the intercepts) for both groups, i.e., C$ (Yperm, Yremp),c" (Yperm, Yremp) e. Suppose aggregate consumption is the sum of consumption in each group. Let p (