Exam 14: Voting and Apportionment

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 plurality with elimination method is used to determine the winner, is the head-to-head Criterion satisfied?

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 Websterʹs 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 Hamiltonʹs method.

Determine whether the specified paradox occurs. -In a small country consisting of 5 provinces, 300 federal judges are apportioned according to the Population of each province. The population of each province is shown for the years 1995 and 2000. Province A B C D E 1995 Population 25,312 8,911 11,451 33,611 15,932 2000 Population 26,011 9,732 12,678 35,977 17,311 Does the population paradox occur using Hamiltonʹs method of apportionment?

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 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 Hamiltonʹs method if the number of seats is increased From 160 to 161?

Make a preference table for the given voting situation. -Eight voters are asked to rank 3 brands of automobiles: A, B, and C. The eight voters turn in the Following ballots showing their preferences in order: $\text { C B A A C B B A }$ $\text { B C B B B C A B}$ $\text { A A C C A A C C }$ Make a preference table for these ballots.

Find the standard divisor for the given situation. Round your answer to two decimals. -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 340 federal judges to be apportioned according to the population of each province. Find the modified quota for province G using the divisor 600.

Determine whether the specified paradox occurs. -A country with two states has 16 seats in the legislature. The population of each state (in Thousands) is given by: State A B Total Population 13452186 A third state is added with 3 additional seats as shown below. State A B C Total Population 134 5238224 Does the new-states paradox occur using Hamiltonʹs method of apportionment?

Determine whether the specified paradox occurs. -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. Does The Alabama paradox occur using Hamiltonʹs method if the number of judges is increased from 300 to 301?

Find the standard divisor for the given situation. Round your answer to two decimals. -A small city has 46 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 modified quota for the Sixth Precinct using the divisor 513.

Determine whether the specified paradox occurs. -A city has 204 police officers to be apportioned among 4 precincts based on the population of each Precinct. The populations are given in the following table. Precinct Population 3462 7470 4265 5300 Does the Alabama paradox occur using Hamiltonʹs method if the number of police officers is Increased from 204 to 205?

Find the standard divisor for the given situation. Round your answer to two decimals. -A small country consists of 7 provinces with the following populations: Province G Population 25,312 19,734 33,407 29,591 13,288 22,751 31,992 There are 320 federal judges to be apportioned according to the population of each province. Find the standard quota for province G.

Find the standard divisor for the given situation. Round your answer to two decimals. -A school district receives a grant to purchase 50 new computers to be apportioned among the 6 Schools in the district based on the student population of each school. The student populations are Given in the following table. School A B C D E F Population 314 211 197 243 279 325 Find the standard quota for school A.

Solve the problem. -Which apportionment method may produce the population paradox?

An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. -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 pairwise comparison method and if the winner received a Majority of first place votes.

Solve the problem. -Which apportionment method may produce the new-states paradox?

Solve the problem. -Which apportionment paradox may be produced by the Adamsʹ method but not the Webster Method?

Solve the problem. -Which voting method may violate the majority criterion?

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 Borda count method is used to determine the winner, is the majority criterion satisfied?

Solve the problem. -Which voting method may violate the monotonicity criterion?