NAME:
MATH 11008
HOMEWORK #4 (9 pts)
SPRING 2014
SHOW ALL WORK FOR FULL CREDIT — PLEASE CIRCLE YOUR FINAL ANSWER
DUE: WEDNESDAY, FEBRUARY 26, AT THE BEGINNING OF CLASS
1. (0.5 pt each) Short Answer.
(a) Find the Huntington-Hill cutoff point (accurate to three decimal places) for rounding of a modified quota of q = 64.458. You must show all work.
(b) Find the Huntington-Hill cutoff point (accurate to three decimal places) for rounding of a modified quota of q = 143.5238. You must show all work.
2. (2 pts) The table below gives the modified quotas for four states using a suitable divisor for the
Huntington-Hill Method. Based on the information provided apportion the seats based on the
Huntington-Hill rounding rule and determine the number of seats that are being apportioned.
State
A
Modified Quota q
Huntington-Hill cutoff Huntington-Hill
(three decimal places) (three decimal places) apportionment
84.492
B
54.501
C
36.495
D
24.497
Totals
3. (6 pts) A newly formed nation on a small island in the Pacific has decided to have one legislative
assembly with 131 seats. This new nation Timmu, like the U.S. House of Representatives, apportions
the seats of its legislature based on the populations of the nation’s individual states. The leadership
of the island nation has decided to use the Huntington-Hill method to apportion its legislative seats.
The population totals are given below. Apportion Timmu’s 131 seats using the Huntington-Hill
Method. Round all intermediate answers to three decimal places. (Use D = 367).
State
Abo
Population Modified Quota q Huntington-Hill cutoff Huntington-Hill
(3 decimal places)
(3 decimal places)
apportionment
5672
Boa
8008
Cio
2400
Dao
6789
Effo
4972
Foti
20,000
Totals
47,841