Capital University has five colleges with $60,1230,1490,1760$ and 2340 students, respectively. A total of 18 academic advisors must be allocated to the five colleges according to their size. Use Hamilton's method to determine the allocation of academic advisors.

A large company has four divisions with 250,320,380, and 400 employees, respectively. A total of 35 computer technicians must be allocated to the four divisions according to their size. Use Hamilton's method to determine the allocation of computer technicians.

The following tables give the popular and electoral votes for the two major candidates for various presidential elections. The total popular vote count, including votes that went to other candidates, is also given. All electoral votes are shown. a. Compute each candidate's percentage of the total popular vote. Did either candidate receive a popular majority?

b. Compute each candidate's percentage of the electoral vote. Was the electoral winner also the winner of the popular vote?

Consider the following preference schedule for three candidates. Which candidate wins by the point system (Borda count)? Is Fairness Criterion 1 satisfied? Explain.

Fill out the following tables with the calculations required for an apportionment by Hamilton's method. In each case, assume that 100 representatives need to be apportioned.

Consider the following demographic data for hypothetical states. Answer the following questions. Assume that everyone votes along party lines. a. How would House seats be divided if they reflected the voter party distribution of the state? b. If the districts could be drawn without restriction (unlimited gerrymandering), what would be the maximum and minimum number of Republican representatives who could be sent to Congress? Explain how each result could be achieved. The state has 10 representatives and a population of 5 million; party affiliations are $70 \%$ Republican and $30 \%$ Democrat.

Devise a preference schedule with three candidates for which the sequential runoff method violates Fairness Criterion 4. Explain your work.

Fill out the following tables with the calculations required for an apportionment by Hamilton's method. In each case, assume that 100 representatives need to be apportioned.

Consider the following demographic data for hypothetical states. Answer the following questions. Assume that everyone votes along party lines. a. How would House seats be divided if they reflected the voter party distribution of the state? b. If the districts could be drawn without restriction (unlimited gerrymandering), what would be the maximum and minimum number of Republican representatives who could be sent to Congress? Explain how each result could be achieved. The state has 12 representatives and a population of 8 million; party affiliations are $50 \%$ Republican and $50 \%$ Democrat.

The following tables give the popular and electoral votes for the two major candidates for various presidential elections. The total popular vote count, including votes that went to other candidates, is also given. All electoral votes are shown. a. Compute each candidate's percentage of the total popular vote. Did either candidate receive a popular majority?

b. Compute each candidate's percentage of the electoral vote. Was the electoral winner also the winner of the popular vote?

Suppose the sequential runoff method is used with the following preference schedule. Is Fairness Criterion 4 satisfied? Explain.

Consider the following demographic data for hypothetical states. Answer the following questions. Assume that everyone votes along party lines. a. How would House seats be divided if they reflected the voter party distribution of the state? b. If the districts could be drawn without restriction (unlimited gerrymandering), what would be the maximum and minimum number of Republican representatives who could be sent to Congress? Explain how each result could be achieved. The state has 10 representatives and a population of 10 million; party affiliations are $50 \%$ Democrat and $50 \%$ Republican.

Capital University has five colleges with 560,1230,1490,1760, and 2340 students, respectively. A total of 18 academic advisors must be allocated to the five colleges according to their size. Find the standard quota for each college.

The following tables give the popular and electoral votes for the two major candidates for various presidential elections. The total popular vote count, including votes that went to other candidates, is also given. All electoral votes are shown. a. Compute each candidate's percentage of the total popular vote. Did either candidate receive a popular majority?

b. Compute each candidate's percentage of the electoral vote. Was the electoral winner also the winner of the popular vote?