Problem

Five boroughs standard quotas for city council seats are given as follows. Use Jefferson's apportionment plan to round the quota given for Staten Island. Manhattan: 5.67 The Bronx: 5.91 Queens: 11.01 Brooklyn: 10.91 Staten Island: 0.93

Solution

Step 1 :Five boroughs standard quotas for city council seats are given as follows: Manhattan: 5.67, The Bronx: 5.91, Queens: 11.01, Brooklyn: 10.91, Staten Island: 0.93.

Step 2 :We are asked to use Jefferson's apportionment plan to round the quota given for Staten Island.

Step 3 :Jefferson's apportionment method involves lowering the standard divisor until the quotas, when rounded down, sum to the correct total. In this case, we don't have a total number of seats, so we'll just round down the quota for Staten Island.

Step 4 :Let's denote the quota for Staten Island as \(quota_{staten\_island} = 0.93\).

Step 5 :Applying Jefferson's apportionment method, we get \(apportionment_{staten\_island} = 0\).

Step 6 :Final Answer: The rounded quota for Staten Island according to Jefferson's apportionment plan is \(\boxed{0}\).

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