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This question is for my Math and Politics class. We are dealing with Hamilton Apportionments. The question is as follows: In the country of Begonia,

This question is for my Math and Politics class. We are dealing with Hamilton Apportionments. The question is as follows:

In the country of Begonia, the national assembly must decide how to apportion its membership across the various states:

a.) A certain Begonian state has a population of 5,800,000. The total population of Begonia is 310,000,000. How large does the house size h have to be for a state to have a lower quota of at least 8?

b.) A state has a population of 5,800,000. The house size in Begonia is 435. How small does the total population p of Begonia have to be for the state to have a lower quota of at least 8?

c.) The total population of Begonia is 310,000,000. The house size is 435. How large does the population of a state have to be for the state to have a lower quota of at least 8?

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