TOPIC: APPORTIONMENT 1.) Three colleges in the same region. colleges A, B. and C, decide to form a 10-member committee of students representing the three colleges. It is decided that representation will be proportional to the number of students in each college in such a way that each college will have at least one representative. College A has 1,455 students; College B has 1,683 students; and College C has 2706 students. 0 Using Huntington-Hill method with a modied divisor of 750 is used. the modified quotas for each college are: (three decimal places) - College A: _ - College B: _ - College C: _ a How many members each college - College A: _ - College B: __ - College C: _ 0 Find the standard divisor (exact value) and each college's standard quota (to four decimal places). c Find the standard quota of each college - College A: _ College B: _ - College C: _ 0 Use Hamilton's method to apportion the number of committee members to each college College A: _ College B: _ College C: _ 0 Use Lowndes' method to apportion the number of committee members to each college? College A: _ College B: _ - College C: _ 0 Which of the two methods (Hamilton or Lowndes') would the students of CollegeA prefer? - The students of College A would probably prefer method because a 3 proportion of the fixed number of 10 representatives would be from College A, 2.) Suppose the three states of Maine. Massachusetts. and New Hampshire want to have 30 members in their tri-state council. If we apportion representatives using Hamilton's method. how many representatives would each state have? a Maine gets representatives I Massachusetts gets representatives 0 New Hampshire gets representatives 3.) The countries of Argentina. Chile. Paraguay. and Uruguay form the geographic region known as the Southern Cone (Coho Sur) because on their location on the southernmost area of South America. Suppose those four countries decide to form an economic council of 12 members. with representation proportional to their populations. Estimates for each country's population (as ofJuly 2010) are given as follows: ' 1,343,201 16,746,491 . 375,830 3,510,386 o If we use Lowndes' method. how many representatives would each country have? - Argentina would get representative(s) - Chile would get representative (5) - Paraguay would get representative(s) - Uruguay would get representative(s)