A small country consists of seven states. there are 160 states in the legislature that need...

A small country consists of seven states. there are 160 states in the legislature that need to be apportioned among the seven states and the population of each state is shown in the table.

State A B C D E F G

Population 1283 2374 2725 2155 1592 2511 2017

Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 160 to 161?

Solutions

Expert Solution

Alabama paradox refers to any apportionment scenario where increasing the total number of items would decrease one of the shares.

A	B	C	D	E	F	G	Total	quotient	A	B	C	D	E	F	G
1283	2374	2725	2155	1592	2511	2017	14657	91.60625	14.00559	25.91526	29.74688	23.5246	17.37873	27.41079	22.01815
1283	2374	2725	2155	1592	2511	2017	14657	91.03727	14.09313	26.07723	29.9328	23.67162	17.48734	27.58211	22.15576

A	B	C	D	E	F	G
14	26	30	24	17	27	22
14	26	30	24	17	28	22

No, the Alabama paradox does not occur using Hamilton's method if the number of seats is increased from 160 to 161

Pleaes upvote..Feel free in case of any doubt.

Happy to help!

orchestra answered 1 year ago

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