EXCURSIONS IN MOD.MATH W/ACCESS >BI<
9th Edition
ISBN: 9781323788721
Author: Tannenbaum
Publisher: PEARSON C
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Textbook Question
Chapter 4, Problem 51E
If the standard quota of state X is 35.41, then which of the following apportionments to state X is (or are) possible under Hamilton's method?
A. 35.4 or 35.5
B. any positive integer less than 36
C. 35 or 36
D. 35 only
E. 36 only
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Consider the apportionment problem for College Town.
North: 5,100
South: 9,300
East: 6,800
West: 8,800
Suppose each council member is to represent approximately 3,000 citizens. Use Jefferson's assuming there must be 10 representatives.
N __________S__________ E__________ W
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Consider the apportionment problem for College Town.
North : 5,500 , South : 4,500 , East : 7,600, West : 7,400
Suppose each council member is to represent approximately 2,100 citizens. Use Jefferson's plan assuming there must be 10 representatives.
Assume that 100 representatives must be apportioned to the following set of states with the given populations. Determine the number of representatives for each state using Hamilton’s method. Then assume that the number of representatives is increased to 101. Determine the new number of representatives for each state using Hamilton’s method. State whether the change in total number of representatives results in the Alabama paradox.
State A: 950; State B: 670; State C: 246
Chapter 4 Solutions
EXCURSIONS IN MOD.MATH W/ACCESS >BI<
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- Consider the apportionment problem. North: 14,300 South: 12,500 East: 18,400 West: 11,200 Use Webster's plan assuming there must be 16 representatives. N ____________S_________ E__________ W_______ __________ __________ __________ _________arrow_forwardConsider the apportionment of 60 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 60 to 61? Clinic A B C D E Total Patients 656 536 515 549 602 2858 Standard quota 13.77 11.25 10.81 11.53 12.64 60.00 Lower quota 13 11 10 11 12 57 Hamilton's apportionment 14 11 11 11 13 60 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. Clinic A B C D E Total Patients 656 536 515 549 602 2858 Hamilton's apportionment ? ? ? ? ? 61arrow_forwardThe following table shows the number of fifth and sixth grade teachers in a school district and the number of students in each of those grades. The number of teachers for each of the grade levels was determined by using the Huntington-Hill apportionment method. The district has decided to hire a new teacher for either the fifth or sixth grade. Number of Teachers Number of Students Fifth Grade 20 576 Sixth Grade 23 726 (a) Use the apportionment principle to determine to which grade the new teacher should be assigned. fifth gradesixth grade (b) Use the Huntington-Hill apportionment principle to determine to which grade the new teacher should be assigned. fifth gradesixth grade How does this result compare with the result in part (a)? same resultdifferent resultarrow_forward
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