Exam 4: The Mathematics of Apportionment: Making the Rounds

The small country of Fowler, consisting of four states, Kudrle, Hedges, Murray, and Kowalowski, needs to apportion all of the seats in its newly created Parliament. One seat in the Parliament is proportional to 44,000 people from a state's population. The table below gives the standard quotas for each of the states. -Based on the scenario above, which modified divisor would be appropriate if the Huntington-Hill Method was used to apportion the seats in Parliament?

The small country of Fowler, consisting of four states Kudrle, Hedges, Murray, and Kowalowski, needs to apportion all of the seats in its newly created Parliament. One seat in the Parliament is proportional to 44,000 people from a state's population. The table below gives the standard quotas for each of the states.

The small country of Barksdale, consisting of the four states Ichabod, Maize, Ranger, and Tala, needs to apportion all of the seats in its newly created Parliament. The table below gives the standard quotas for each of the states. If the population of Ichabod is 22,932, then what is the total population of Barksdale?

Four friends (Joe, Tom, Miah, and Brownie) are lost on a tropical island. Luckily the friends find a stash of 75 coconuts. The coconuts will be apportioned based on the weight of each person (i.e. the heavier person is, the more he gets). The table below shows the weight of each of the four friends. -Based on the scenario above , which modified divisor would be appropriate if Webster's Method was used to apportion the coconuts?

A newly formed Southern state is made up of four counties (A, B, C , and D ). The state legislature has a total of 50 seats which need to be apportioned out to each of the counties based on their respective populations. The table below gives the current population of each of the counties. Use Hamilton's Method to apportion the 50 seats.

A small country consists of four states, Awesomeland, Bodaciousville, Cooltown, and Dudesburgh. The total population of the country is 400,000 people. The table below gives the standard quota for each state. How many seats are being apportioned?

Your college campus is broken into five sections (Main Campus, North Campus, East Campus, West Campus, and South Campus). The board of trustees has recently approved the installation of 70 emergency blue lights. The lights will be apportioned based the area of each section (i.e. the larger the section, the more lights). The table below gives the area, in acres, of each section of campus. -Based on the scenario above, how many Emergency Blue Lights would be installed on South Campus if Hamilton's Method was used to do the apportioning?

A local movie theatre has budgeted for 50 six-hour concession shifts to be staffed every week. The number of shifts staffed on a single day of the week is apportioned based on the total number of moviegoers who visit the theatre during the day. The following table shows the average daily number of moviegoers over a two month period. -Based on the scenario above, what is the standard quota for Wednesday?

Your college campus is broken into five sections (Main Campus, North Campus, East Campus, West Campus, and South Campus). The board of trustees has recently approved the installation of 70 emergency blue lights. The lights will be apportioned based the area of each section (i.e. the larger the section, the more lights). The table below gives the area, in acres, of each section of campus. -Based on the scenario above, what is the standard quota for East Campus?

A newly formed University is made up of five schools (Art, Business, Engineering, Nursing, and Sciences). The board of trustees is given the task of apportioning the 50 faculty members based on the respective enrollment levels of each of the schools. The table below gives the projected enrollment for each of the schools. Use Hamilton's Method to apportion the 50 faculty members.

The small country of Fowler, consisting of four states, Kudrle, Hedges, Murray, and Kowalowski, needs to apportion all of the seats in its newly created Parliament. One seat in the Parliament is proportional to 44,000 people from a state's population. The table below gives the standard quotas for each of the states. How many seats are there in the Parliament?

Four friends (Joe, Tom, Miah, and Brownie) are lost on a tropical island. Luckily the friends find a stash of 75 coconuts. The coconuts will be apportioned based on the weight of each person (i.e. the heavier person is, the more he gets). The table below shows the weight of each of the four friends. Use Jefferson's Method to apportion the 75 coconuts.

A small country consists of four states, Awesomeland, Bodaciousville, Cooltown, and Dudesburgh. The total population of the country is 400,000 people. The table below gives the standard quota for each state. -Based on the scenario above , find the population of Awesomeland.

A newly formed University is made up of five schools (Art, Business, Engineering, Nursing, and Sciences). The board of trustees is given the task of apportioning the 50 faculty members based on the respective enrollment levels of each of the schools. The table below gives the projected enrollment for each of the schools. -Based on the scenario above , which modified divisor would be appropriate if the apportionment was done using Jefferson's Method?

Your college campus is broken into five sections (Main Campus, North Campus, East Campus, West Campus, and South Campus). The board of trustees has recently approved the installation of 70 emergency blue lights. The lights will be apportioned based the area of each section (i.e. the larger the section, the more lights). The table below gives the area, in acres, of each section of campus. What is the standard divisor for this apportionment problem?

A small country consists of four states, Awesomeland, Bodaciousville, Cooltown, and Dudesburgh. The total population of the country is 400,000 people. The table below gives the standard quota for each state. -Based on the scenario above, how many seats would be apportioned to Bodaciousville using the Huntington-Hill Method.

Clearly explain what it means for the New State paradox to occur.

A local city is made up of four wards ( Ward 1, Ward 2, Ward 3, and Ward 4). Through a Federal grant, the city has received 200 brand new bicycles to promote alternative means of transportioan. The bicycles will be apportioned based on the population of each ward. The table below shows the population of each of the wards. Use Adam's Method to apportion the 200 bicycles.

A local movie theatre has budgeted for 50 six-hour concession shifts to be staffed every week. The number of shifts staffed on a single day of the week is apportioned based on the total number of moviegoers who visit the theatre during the day. The following table shows the average daily number of moviegoers over a two month period. -Based on the scenario above, how many six-hour concession shifts should be staffed on Saturday if Hamilton's Method is used to do the apportionment?

The Faculty Senate at your university has been delegated the duty of apportioning the 500 university owned laptops to five different programs (Engineering, Social Sciences, Nursing, Arts and Sciences, and Business). The laptops are going to be apportioned to each program based on the number of Astudents enrolled in the program. The table below shows the enrollment numbers for each program.