Exam 4: The Mathematics of Apportionment: Making the Rounds

A kindly old grandmother is going to distribute 50 one dollar bills to her four grandchildren, Jenn, Emily, Lisa and Allison, based on how many minutes of housework they've completed over the past week. The table below gives the number of minutes each child spent doing housework during the week. -Based on the scenario above , find a modified divisor which would allow the 50 one dollar bills to be apportioned using Webster's Method.

A new zoo is being built in the town. The zoo will be partitioned into six different habitats (Polar, Tropical, Temperate, Savanna, Desert, and Tide Pools). Donors have given enough money to purchase 48 interactive touch-screen educational tools. These touch-screens will be apportioned to the different habitats based on the number of different species on display. The table below gives the number of species on display in each habitat. What is the standard divisor for this apportionment problem?

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 , which apportionment results in a violation of the Quota Rule?

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. -Based on the scenario above, find a modified divisor which would allow the 200 bicycles to be apportioned using Webster's Method.

A new zoo is being built in the town. The zoo will be partitioned into six different habitats (Polar, Tropical, Temperate, Savanna, Desert, and Tide Pools). Donors have given enough money to purchase 48 interactive touch-screen educational tools. These touch-screens will be apportioned to the different habitats based on the number of different species on display. The table below gives the number of species on display in each habitat. -Based on the scenario above, what is the standard quota for Savanna?

A local department store has budgeted for 100 eight-hour retail 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 shoppers who visit the store during the day. The following table shows the average daily number of shoppers over a two month period. What is the standard divisor for this apportionment problem? -Based on the scenario above , how many eight-hour retail shifts should be staffed on Friday if Hamilton's Method is used to do the apportionment?

A local department store has budgeted for 100 eight-hour retail 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 shoppers who visit the store during the day. The following table shows the average daily number of shoppers over a two month period. What is the standard divisor for this apportionment problem?

A newly formed Midwestern state is made up of four counties (A, B, C and D) . The state legislature has a total of 200 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 200 seats.

A local department store has budgeted for 100 eight-hour retail 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 shoppers who visit the store during the day. The following table shows the average daily number of shoppers over a two month period. What is the standard divisor for this apportionment problem? -Based on the scenario above , what is the standard quota for Saturday?

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. -Based on the scenario above, which modified divisor would be appropriate to use if the apportioning was done using Adam's Method?

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. What is the standard divisor for this apportionment problem?

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. -Based on the scenario above, which modified divisor would be appropriate if the Huntington-Hill Method was used to apportion the seats in Parliament?

A newly formed Midwestern state is made up of four counties (A, B, C and D). The state legislature has a total of 200 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 200 seats. -Based on the scenario above, find a modified divisor which would allow the 200 seats to be apportioned using Jefferson's Method.

A kindly old grandmother is going to distribute 225 pieces of candy to her four grandchildren, Alex,Beth, Carl and Dave, based on how many minutes of housework they’ve completed over the past week. The table below gives the number of minutes each child spent doing housework during the past week. -Based on the scenario above , find a modified divisor which would allow the 225 pieces of candy to be apportioned using Webster's Method.

A new zoo is being built in the town. The zoo will be partitioned into six different habitats (Polar, Tropical, Temperate, Savanna, Desert, and Tide Pools). Donors have given enough money to purchase 48 interactive touch-screen educational tools. These touch-screens will be apportioned to the different habitats based on the number of different species on display. The table below gives the number of species on display in each habitat. -Based on the scenario above, how many interactive touch-screen educational tools would be installed in the Tropical habitat if Hamilton's Method was used to do the apportioning?

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. -Based on the scenario above, find a modified divisor which would allow the 500 laptops to be apportioned using Adam's Method.

A new zoo is being built in the town. The zoo will be partitioned into six different habitats (Polar, Tropical, Temperate, Savanna, Desert, and Tide Pools). Donors have given enough money to purchase 48 interactive touch-screen educational tools. These touch-screens will be apportioned to the different habitats based on the number of different species on display. The table below gives the number of species on display in each habitat. -Based on the scenario above, the apportionment given below Polar: 2; Tropical: 16; Temperate: 7; Savanna: 9; Desert: 5; Tide Pools: 11

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 from problem 9, what is the population of Hedges?

A kindly old grandmother is going to distribute 50 one dollar bills to her four grandchildren, Jenn, Emily, Lisa and Allison, based on how many minutes of housework they've completed over the past week. The table below gives the number of minutes each child spent doing housework during the week.

A kindly old grandmother is going to distribute 225 pieces of candy to her four grandchildren, Alex, Beth, Carl and Dave, based on how many minutes of housework they've completed over the past week. The table below gives the number of minutes each child spent doing housework during the past week. Use Adam's Method to apportion the 225 pieces of candy.