Exam 14: Voting and Apportionment

Find the standard divisor for the given situation. Round your answer to two decimals. -A university has 25 scholarships to be apportioned among the engineering students based on the Enrollment in each department. There are three departments - Mechanical Engineering (M), Electrical Engineering (E), and Civil Engineering (C). The number of students in each department Is given in the following table. Department M E C Enrollment 233 297 153

Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according To the following preference table: If the four voters who voted F, S, H, A, in that order, change their votes to H, S, A, F, and if the Plurality with elimination method is used to determine the winner, is the monotonicity criterion Satisfied?

A condominium association is holding an election for president of the board of directors. Each Member ranks the candidates from first to third. The preference table below shows the results of The ballots with candidates Abbott (A), Blake (B), Cleary (C), and Downs (D). If the plurality method if used to determine the winner and Downs drops out, is the irrelevant Alternatives criterion satisfied?

Find the apportionment asked for. -A small country consists of seven states; there are 160 seats 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 Find the apportionment for state D using Jeffersonʹs method.

The Mathematics Department is holding an election for department chair. Each member ranks the Candidates from first to third. The preference table below shows the results of the ballots with Candidates Clark (C), Jones (J), and Smith (S). If the Borda count method is used to determine the winner, is the majority criterion satisfied?

Make a preference table for the given voting situation. -Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according To the following preference table. Determine the winner using the plurality method and if the winner received a majority of first Place votes.

Find the standard divisor for the given situation. Round your answer to two decimals. -A small country consists of seven states; there are 157 seats 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 Find the standard quota for state C.

Determine whether the specified paradox occurs. -A town has 13 police officers to be apportioned among 3 precincts based on the population of each Precinct. The populations for the years 1998 and 1999 are given in the following table. Precinct 1998 Population 930 738 415 1999 Population 975 750 421 Does the population paradox occur using Hamiltonʹs method of apportionment?

Find the standard divisor for the given situation. Round your answer to two decimals. -A university has 22 scholarships to be apportioned among the engineering students based on the Enrollment in each department. There are three departments - Mechanical Engineering (M), Electrical Engineering (E), and Civil Engineering (C). The number of students in each department Is given in the following table. Department M E C Enrollment 233 297 153 Find the standard quota for the Mechanical Engineering Department.

An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. -Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according To the following preference table. Determine the winner using the Borda count method and if the winner received a majority of first Place votes.

Find the standard divisor for the given situation. Round your answer to two decimals. -A small city has 48 police officers to be apportioned among 8 precincts based on the population of Each precinct. The populations are given in the following table. Precinct Population 2115 3659 3117 1883 4912 4027 2776 3174