### Election Analysis with 7 Voters and 4 Candidates**Prompt:** Consider the following election with 7 voters and 4 candidates. Determine the winner using the methods listed below.#### Preference Table| Number of Voters | 2 | 2 | 1 | 1 | 1 ||------------------|---|---|---|---|---|| **First** | A | B | A | C | D || **Second** | D | D | B | B | B || **Third** | C | A | D | D | A || **Fourth** | B | C | C | A | C |#### Methods to Determine the Winner- **e) Plurality Runoff**- **f) Borda Count**- **g) Condorcet’s Method**- **h) Sequential Pairwise with Agenda: B, D, C, A**### Explanation of Methods- **Plurality Runoff:** This method involves first identifying the top two candidates with the most first-place votes and then conducting a runoff election only between these two.- **Borda Count:** Candidates are scored based on their position in each voter's ranking. The candidate with the highest total score wins.- **Condorcet’s Method:** A candidate is the winner if they can beat every other candidate in a head-to-head comparison.- **Sequential Pairwise:** Using a predefined agenda (B, D, C, A in this case), each candidate is paired one-on-one in a sequence. The winner of each matchup moves on to the next round.This setup showcases various voting systems used to determine outcomes in elections, analyzing voter preferences for a fair decision-making process.

As per the guidelines I am solving 3 subparts only. Plurality Method: In this method, we count the…

Answered: 5) Consider the following election with…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Correct Suppose a software company wants to form a new 36-person committee for a new project. There are 136 employees in the sales department, 103 employees in the development department, and 174 in the design department. Use the Huntington-Hill method to determine the allocation of committee members based on department size.
Consider the following election. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality Method, the winner of the election is Group of answer choices C D A B
A newly established country has 4 states, A, B, C, and D. Their populations are in the table. The states share 120 representatives. The governors of these states agree that the seats should be apportioned using Adam’s method of apportionment. What is the sum of the first upper quota for the four states?
A country with four states, A, B, C and D apportions the 70 seats in its congress using Hamilton's Method. The table below lists the population for each state and the final apportionment. Apportionment State A B C D State A Population 8000 10000 B C D 4625 7625 New census data came in this year and the 70 seats need to be reapportioned using Hamilton's Method. The table below shows the new populations for each state. New Population 8088 10670 4537 7938 A's final apportionment: B's final apportionment: C's final apportionment: 18 23 11 18 D's final apportionment: Have any paradoxes occurred? If so, which ones? Explain your answer. Population Paradox Alabama Paradox New States Paradox None of the above
The divider-chooser method is best suited for which of the following scenarios?A) Mike and Jack were given a list of errands to run by their mom. They need to divide the list between them as fairly as possible.B) Mike and Jack were given a vintage car by their parents and must decide who gets to have the car.C) Voters must choose a candidate between two candidates.D) The number of seats given to a territory in the house of representatives must bedetermined.
Consider a fictitious country Makria with four states Urbinulla, Konta, Cyclos, and Pantou. The population of each state is given in the table below. If the new constitution of country Makria calls for 28 representatives to be chosen from the four states, what are the number of representative for each state if we use Adams Method?(Hint: Use Dm = 1200 ). Makria Country State Роpulation Urbinulla 12,521 Konta 3, 879 Cyklos 8, 764 Pantou 4, 836 A Urbinulla: 11 Konta: 3 Cyklos: 8 Pantou: 4 В Urbinulla: 12 Konta: 4 Cyklos: 8 Pantou: 4 Urbinulla: 12 Konta: 3 Cyklos: 9 Pantou: 4 Urbinulla: 11 Konta: 4 Cyklos: 8 Pantou: 5
solve question d
Apply the Hamilton-Hare (HH), Jefferson-D'Hondt (JDH), and Webster-Sainte-Lague (WSL) methods to apportion 10 seats among three parties. Calculate the HH quota. The parties have the following numbers of votes: P1 - 942, P2 - 207, P3 - 351. Party P1: Quota WSL Party P2: Quota WSL Party P3: Quota WSL HH , JDH HH , JDH HH ,JDH
The board of directors of a pharmaceutical corporation has 10 members. An upcoming stockholders' meeting is scheduled to approve a new slate of company officers (chosen from the 10 board members) How many different slates consisting of a president, vice president, secretary, and treasurer can the board present to the stockholders for their approval?
Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if: a) there must be 3 students on the committee b) there must be no more than 2 teachers on the committee c) there must be at least one teacher and at least one student on the committee d) Barry and Miss Morrison cannot be on the committee together.

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