MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- *Contemporary Mathematics*arrow_forward13) An election is held among four candidates (A, B, C, and D). Using a voting method we will call X, the winner of the election is candidate A. However, candidate D has a majority of the possible first-place votes. Based on this information, which criterion can say that voting method X violates? A) majority Β ) ΠΑ C) Condorcet D) monotonicityarrow_forwardThe Republic of Amador is composed of five states, A, B, C, D, and E. According to the country's constitution, the Congress will have 200 seats, divided among the five states according to their respective populations. A BCD E State Population |(in thousands) 1112 1118 1320 1515 4935 Use Hamilton's method to apportion the 200 congressional seats for state B and C. Quota for state B Quota for State C =arrow_forward
- K Super-Mart has stores in four locations in State A. Super-Mart plans to reapportion its 35 managers based on the number of employees in each store as shown below. Find the standard divisor and each store's standard quota. Store Number of employees A 65 B 94 с 139 The standard quota for store B is. (Round to the nearest hundredth as needed.) The standard divisor is (Round to the nearest hundredth as needed.) b. Find each store's standard quota using the standard divisor from part (a). The standard quota for store A is. (Round to the nearest hundredth as needed.) The standard quota for store Cis (Round to the nearest hundredth as needed.) D 246 The standard quota for store D is (Round to the nearest hundredth as needed.) Total 544 ...arrow_forward7arrow_forward*Contemporary Mathematics*arrow_forward
- Consider the weighted voting system [q: 11, 8, 7, 5, 2] a. What is the total weight of the system? 33 b. What is the smallest value that the quota q can take? 18 c. What is the largest value that the quota q can take? 33 d. What is the weight of the coalition formed by P₁ and P3? 18 e. For what values of the quota q is the coalition formed by P₁ and P2 a winning coalition? Enter values in increasing order separated by a comma but no spaces. |arrow_forwardUsing Webster's Method, if the modified quota is 50,100 and the population for State J is 1, 646,000, then the exact number of seats to be apportioned for State J is Group of answer choices 33 34 31 32arrow_forwardAlabama Paradox There are 3 states and 20 seats. In 20 years, the number of seats was increased to 21. Suppose the years are 2000 and 2020. 1.) Complete the table using Hamilton's method to apportion the 20 seats for the populations after 2000 and the 21 seats after 2020. Round all standard quotas and the divisor to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Fill in every cell. 20 seats 21 seats State Population 2000 Standard Initial Final Standard Initial Final Quotas Quotas Quotas Quotas Quotas Quotas A 5,222 В 9,677 15,821 30,720 C Total 2.) What are the two divisors? Enter your answer in the space provided below. Divisor for 20 seats: Divisor for 21 seats: 3.) Did an Alabama paradox occur? Explain your answer. Write your response below:arrow_forward
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