3. Three colleges in the same region, colleges A, B, and C, decide to form a 10-membercommittee of students representing the three colleges. It is decided that representation willbe proportional to the number of students in each college in such a way that each college willhave at least one representative. College A has 1,455 students; College B has 1,683 students;and College C has 2,706 students.a. Find the standard divisor and each college's standard quota.b. Use Hamilton's method to apportion the number of committee members to each college.c. Use Lowndes' method to apportion the number of committee members to each college.d. Which of the two methods would the students of College A prefer? Explain your answer.e. If we use the Huntington-Hill method with a modified divisor of 750, how manymembers would each college have?f. Is 750 a correct choice of modified divisor to apportion the 10 committee positions usingthe Huntington-Hill method?

Given: College A has 1455 students, College B has 1683 students and College C has 2706 students. a.…

Answered: 3. Three colleges in the same region,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A newly established country has 4 states, A, B, C, and D. Their populations are in the table. The states share 120 representatives. The governors of these states agree that the seats should be apportioned using Adam’s method of apportionment. What is the sum of the first upper quota for the four states?
Suppose a nation has 5 states, with populations shown in the chart below. The representative body had 150 seats. Find: the standard divisor, the modified divisor, and the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator
Suppose that a small country consists of four states: A (population 1,336,000), B (population 1,066,000), C (population 528,000), and D (population 170,000). Suppose that there are M= 155 seats in the legislature, to be apportioned among the four states based on their respective populations. (a) Find the standard divisor. (b) Find each state's standard quota. a) The standard divisor is (Simplify your answer.) b) Complete the table below. State Population Standard quota B 1,336,000 1,066,000 528,000 170,000 (Type integers or decimals rounded to the nearest hundredth as needed.) Enter your answer in each of the answer boxes. MacBook Air F1 O00 F4 F5 F7 F8 F10 23 2$ % & * 2 3 4. 5 6 7 8 Q E R T Y P %3D
a. Are all of the 811 opinions accounted for in the table? Add another category if necessary. b. Create a pie chart to describe the data. c. Create a bar chart to describe the data. d. Rearrange the bars in part c so that the categories are ranked from the largest percentage to the smallest e. Which of the three methods of presentation--part b, c, or d is the most effective?
A hospital has 208 nurses to be apportioned among four shifts: Shifts A, B, C, and D. The hospital decides to apportion the nurses based on the average number of room calls reported during each shift. Room calls are shown in the table below. Use the table to determine each shift's apportionment using Jefferson's method. (Note: Divisors do not have to be whole numbers.) Shift A B C D Total Room calls 835 1368 494 215 2912 Determine each shift's apportionment using Jefferson's method. Shift A B C D Total Room calls 835 1368 494 215 2912 Nurses ? ? ? ? (Type whole numbers.)
A small country with a population of 6,000,000 consists of four states, A, B, C, and D. There are 150 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Determine each state's apportionment using Webster's method using the standard divisor. State A B C D Total J Population 1,250,000 2,728,000 875,000 1,147,000 6,000,000 Complete the table below. State Population Number of seats (Type whole numbers.) A 1,250,000 B 2,728,000 C 875,000 D 1,147,000 Total 6,000,000 150

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS