Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Which of the following apportionment methods can violate the quota rule? (Select all that apply.)
Webster method, Jefferson method, Hamilton method, Huntington-Hill method
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- A country consists of 20 states. There are 386 seats in the Congress which are to be apportioned among the 20 states to their respective population. The following table shows the population of the 20 states. Use a spreadsheet program to answer the following questions. Round all standard quotas, modified quotas, and the divisor to 5 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Seats: 386 State Population Standard Initial Hamilton Jefferson's Modified Benefit and Lower Quotas Disadvantage Jefferson Quotas Quota without Modified Quotas decimal A 538,723 61,837 C 346,146 448,119 D E 500,521 89,678 221,803 F G H 314,404 41,754 373,154 I J K 94,310 399,190 M 297,083 N 391,098 163,551 P 218,689 Q 329,896 77,150 113,753 R S 101,301 Total 5,122,220arrow_forwardThe 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.arrow_forward14. If the standard quota of State X is 35.41, then which of the following apportionments to State X is (or are) possible under Jefferson's method? Select one: 34, 35, or 36 36 only 35 only O 35, 36, or 37✔ 34, 35, 36 or 37arrow_forward
- 4. A fire truck is to be added to a certain district. Which district should get the Fire truck? Justify your answer using the apportionment principle and the Huntington – hill apportionment method. Show solution Area No. of fire trucks Number of houseDistrict 1 18 23, 208District 2 22 50, 443 5. Using problem number 4, if there will be two fire trucks, which district should get the Fire truck. Justify your answer using the apportionment principle and the Huntington – hill apportionment method. Show solution.arrow_forwardPlease helparrow_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_forward
- 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 41arrow_forward(3)arrow_forwardsuppose 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.arrow_forward
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