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The Alabama paradox. There are 47 local police, 13 federal agents, and 40 state police involved with drug enforcement in Metro City. A special nine-person task force will be formed to investigate a particular case. Officers will be assigned to this task force with membership proportional to the number of the three types of law enforcement officers.
a. Apportion this task force using the Hamilton method.
b.Now increase the task force’s size to 10, and then to 11, and so on, redoing the apportionment each time until an Alabama paradox occurs.
c.What is the first size above 10 when the paradox occurs, and what group loses an officer when the size of the task force increases?
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