Exam 14: Voting and Apportionment

Make a preference table for the given voting situation. -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). Determine the winner using the Borda count method and if the winner received a majority of first Place votes.

Make a preference table for the given voting situation. -Ten voters are asked to rank 4 brands of cell phones: A, B, C, and D. The ten voters turn in the Following ballots showing their preferences in order: $\mathrm{A} \mathrm{B} \mathrm{B} \mathrm{B} \mathrm{A} \mathrm{B} \mathrm{B} \mathrm{B} \mathrm{B} \mathrm{A}$ $\mathrm{B} \mathrm{C} \mathrm{A} \mathrm{C} \mathrm{B} \mathrm{A} \mathrm{C} \mathrm{A} \mathrm{A} \mathrm{B}$ $\mathrm{D}\mathrm{A}\mathrm{C} \mathrm{A}\mathrm{C}\mathrm{C}\mathrm{A} \mathrm{D}\mathrm{C}\mathrm{C}$ $\mathrm{C}\mathrm{D}\mathrm{D}\mathrm{D}\mathrm{D}\mathrm{D}\mathrm{D}\mathrm{C}\mathrm{D}\mathrm{D}$ Make a preference table for these ballots.

Find the standard divisor for the given situation. Round your answer to two decimals. -A university has 27 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 modified quota for the Civil Engineering Department using the divisor 27.

Make a preference table for the given voting situation. -Eight voters are asked to rank 4 brands of ice cream: A, B, C, and D. The eight voters turn in the Following ballots showing their preferences in order: $B C C C B C B C$ C A D D C D A A A D A A A A C D D B B B D B D B Make a preference table for these ballots.

Find the apportionment asked for. -A small city has 50 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 Find the apportionment for the Seventh Precinct using Adamsʹ method.

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 Websterʹs method.

Find the apportionment asked for. -A small country consists of 7 provinces with the following populations: Province A B C D E F G Population 25,312 19,734 33,407 29,591 13,288 22,751 31,992 There are 300 federal judges to be apportioned according to the population of each province. Find The apportionment for province G using Jeffersonʹs method.

Find the apportionment asked for. -A small country consists of 7 provinces with the following populations: Province F G Population 25,312 19,734 33,407 29,591 13,288 22,751 31,992 There are 300 federal judges to be apportioned according to the population of each province. Find The apportionment for province G using Adamsʹ method.

Find the apportionment asked for. -A small city has 50 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 Find the apportionment for the Seventh Precinct using Websterʹs method.

Find the standard divisor for the given situation. Round your answer to two decimals. -A small country consists of seven states; there are 156 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 modified quota for state F using the divisor 92.

Find the standard divisor for the given situation. Round your answer to two decimals. -The faculty senate of a university has 60 senators to be apportioned among its four colleges based On the number of faculty in each college. The colleges are Liberal Arts (L), Sciences (S), Business (B), and Engineering (E). The number of faculty in each college is shown in the following table. College L S B E Number of Faculty 279 355312 423 Find the modified quota for the College of Engineering using the divisor 27.

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 pairwise comparison 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 plurality method is used to determine the winner and Clark drops out, is the irrelevant Alternatives criterion satisfied?

Solve the problem. -Which fairness criterion may be violated by any of the voting methods?

Make a preference table for the given voting situation. -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). Number of Votes 7 10 4 8 First Second Third Determine the winner using the plurality method and if the winner received a majority of first Place votes.

Determine whether the specified paradox occurs. -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 below for the years 1990 and 1995. State A B C D E F G 1990 Population 1283 2374 2725 2155 1592 2511 2017 1995 Population 1347 2469 2847 2220 1640 2611 2078 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 small city has 45 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 Find the standard quota for the Third Precinct.

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 plurality method is used to determine the winner, is the head-to-head criterion satisfied?

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 and Clark drops out, is the irrelevant Alternatives criterion satisfied?

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 plurality with elimination method and if the winner received a Majority of first place votes.