Chapter+4+Handout+1+Solutions-1

# Chapter+4+Handout+1+Solutions-1 - Chapter 4 Handout 1...

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Chapter 4 Handout 1 Solutions Solution to Problem#1: The standard divisor is the total population divided by the number of seats which equals 13.9 million people divided by 25 seats which equals .56 million people/seat. The standard divisor is the ratio of population to seats. Here for every .56 million people there is 1 seat. Notice that, using Hamilton’s apportionment, there are no lower or upper quota violations. 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 Solution to Problem#2: Notice that, using Hamilton’s apportionment, there are no lower or upper quota violations. state populatio n standard quota lower quota fractional part ranking Hamilton apportionment MA 7.0 15.24 15 .24 15 CT 3.8 8.27 8 .27 8 ME 2.0 4.35 4 .35 Secon d 5 NH 1.8 3.92

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Chapter+4+Handout+1+Solutions-1 - Chapter 4 Handout 1...

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