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The only criticism I have for your "floating total" is that large differences pre-recruitment chapter size among chapters will lead to permanent size instability among all chapters. When XYZ's class of 35 NMs graduate (let's assume that they're all freshmen for the sake of argument) XYZ will have the same size "hole" to fill in 4 years. If they instead worked on making actual quota, COBing when needed, and balancing the size of each class (freshmen, sophomore, junior, senior), they will be more stable in the long run.
Also, let's not kid ourselves, not every PNM will fit into every chapter. It's unfair to the larger chapters that they can't have their equal share of the pie. For PNMs who truly fit in with ABC, if they're going through recruitment during a year where ABC can take a reduced percentage of quota, too bad. It will also lead to size instability with ABC by changing the size of their NM classes on a stable campus.
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