CHAPTER 2Apportionment: Shan11. Hawaii's House of Representatives has 51 members. Suppose they are appor-tioned among the five counties in Hawaii based on the 2010 census data shownin the table. Perform the apportionment using(a) Jefferson's method,(c) Hamilton's method,(e) Which method(s) seems to help the large Honolulu County the most?(f) Which method(s) seems to help the small Kalawao County the most?(b) Webster's method,(d) Lowndes' method.KalawaoKauaiMauiHawaii185,079Source: U.S. Census Bureau.Honolulu953,207CountyPopulation67,091154,83490mang ite three

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Find the answer to each of the following counting problems: • The U.S. Senate Appropriations Committee has 29 members and a subcommittee is to be formed by randomly selecting 5 of its members. How many different committees could be formed? • If 25 people start a race, in how many different ways can the top 2 finishers be determined? • Companies who stocks are listed on the NASDAQ stock exchange have their company name represented by either four or five letters (repetition of letters is allowed). What is the maximum number of companies that can be listed on the NASDAQ?
(11)
A small country has 30 seats in congress, divided among the states according to their respective populations. The table show the populations after a 1990 census. 1.) Complete the table using Hamilton's method to apportion the seats for the populations after 1990. 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. Find the divisor. Enter your answer in the space provided below. Divisor: State Initial Quotas Final Quotas Population 1990 29,081 49,016 121,913 200,010 Standard Quotas A B C Total
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Consider the apportionment of 40 doctors for a physicians organization. The apportionment using Hamilton's method is shown in the table below. Does the Alabama paradox occur using Hamilton's method if the number of doctors is increased from 40 to 41? Clinic Patients Standard quota Lower quota Hamilton's apportionment A 492 9.09 9 9 Clinic Patients Hamilton's apportionment B 402 7.43 7 8 с 394 7.28 7 7 B 402 D 424 7.83 7 8 C 394 Complete the table below with the new apportionment for clinics A, B, C, D, and E using a standard divisor rounded to two decimal places. A E 453 492 E 453 8.37 8 8 D 424 Total 2165 40.00 38 40 D Total 2165 41
Use Thomas Jefferson's method to solve the following problem. Suppose a legislature in a state has five counties and a representative body with 56 seats. The population for each of the counties are shown below. How many seats should each county get? Use the Jefferson's Method of apportionment and Excel or Google Sheets. Fill in the information below. County Population Standard Lower Modified Modified Quota Quota Quota Lower Quota County 1 County 2 County 3 County 4 County 5 Total 550,000 382,000 120,000 365,000 226,000 Find the standard divisor and modified divisor. Standard divisor = Modified divisor:
Alabama 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:
5. Name the apportionment method in which we round each group's modified quota to the nearest whole number? 6. Name the paradox. " The addition of a new group changed the apportionments of other groups"
suppose and electronics company has three divisions D digital C computers and B business products division D has 142 employees see has 84 and B has 27 assume that 12 member quality improvement counsel has membership on the council proportional to the number of employees in the three divisions a. apportion this council using Hamilton method b. now increase the councils size to 13 and then to 14 and apportion this council using Hamilton method. c. what is the first size above 12 when the Alabama paradox, occurs, and what division loses a seat when the size of the council increases.

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