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# Chapter+4+Notes+on+Handout+1 - Notes on Chapter 4 Handout 1...

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Notes on Chapter 4 Handout 1 Here is the Hamilton apportionment of the 6 states from Exercise 1. State population in millions standard quota lower quota upper quota fractiona l part ranking Hamilton apportionmen t MA 6.3 11.33 11 12 .33 11 CT 3.4 6.12 6 7 .12 6 ME 1.4 2.52 2 3 .52 Second 3 NH 1.2 2.16 2 3 .16 2 RI 1.0 1.80 1 2 .8 First 2 VT 0.6 1.08 1 2 .08 1 Total 13.9 25 23 29 25 Note the same Hamilton apportionment in the table below, with a change (a division by 10,000) in the populations of the states. The standard quota is 1390/25=55.6 Table 1. State population standard quota lower quota upper quota fractiona l part ranking Hamilton apportionmen t of seats MA 630 11.33 11 12 .33 11 CT 340 6.12 6 7 .12 6 ME 140 2.52 2 3 .52 Second 3 NH 120 2.16 2 3 .16 2 RI 100 1.80 1 2 .8 First 2 VT 60 1.08 1 2 .08 1 Total 1390 25 23 29 25 Although political examples in this chapter are interesting and relevant, and the apportionment of congressional seats to states is a fine paradigm, we can also think in terms of: States Seats Population Bus routes Buses Passengers Hospital shifts Nurses Patients Neighborhoods Police officers Residents University departments Faculty positions Students enrolled in courses Children Stickers Minutes spent on reading

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Retail stores Sales personnel Customers Campus computer labs Computers Students Given an apportionment problem, we need to identify the “States”, the
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Chapter+4+Notes+on+Handout+1 - Notes on Chapter 4 Handout 1...

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