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Exam 14: Apportionment

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Question 51

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Given the cities and the populations below, use the Webster method of apportionment to distribute 25 seats on a regional board. $\begin{array} { l c } \text { City } & \text { Population } \\\text { Greenville } & 34,569 \\\text { Riverdale } & 27,943 \\\text { Oceanside } & 21,350 \\\text { Parkview } & 16,138\end{array}$

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Greenville...

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Question 52

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The manager of a busy restaurant is working on a schedule for the restaurant's 25 food servers. There are three shifts, as identified below: Shitt Average number of customers $\begin{array} { l l } 1 & 235 \\ 2 & 610 \\ 3 & 453 \end{array}$ Use the Jefferson method to determine how many food servers should be scheduled for each shift.

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Question 53

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What is the Hill-Huntington rounding of 6.475?

The d'Hondt method always leads to the same apportionment as Jefferson's method.

A city is divided into four regions for distributing the 20 representatives on a public utility board. The regions and their populations are shown below. The board uses the Hamilton method of apportionment to distribute seats. Find the district population for each region based on this apportionment. $\begin{array} { l c } \text { Region } & \text { Population } \\\text { North } & 8700 \\\text { South } & 5600 \\\text { East } & 7200 \\\text { West } & 3500\end{array}$

Use the following information to answer the Questions: A city is divided into three regions for distributing the 20 representatives on a public utility board. The regions and their populations are shown below. $\begin{array}{ll}\underline {\text {Region}}&\underline {\text {Population}}\\\text { West } & 18,600 \\\text { Middle } & 12,900 \\\text { East } & 15,200\end{array}$ -Use the Hamilton method of apportionment to distribute representatives.

Explain the population paradox.

Given the cities and the populations below, use the Hill-Huntington method of apportionment to distribute 25 seats on a regional board. $\begin{array} { l c } \text { City } & \text { Population } \\\text { Greenville } & 34,569 \\\text { Riverdale } & 27,943 \\\text { Oceanside } & 21,350 \\\text { Parkview } & 16,138\end{array}$

A country has three states and a national senate with 10 seats. The state populations and the apportionment of the senate seats are shown below. Find the relative difference in representative shares of states A and B. $\begin{array} { c c c } \text { State } & \text { Population } & \text { Seats } \\\text { A } & 69,000 & 5 \\\text { B } & 43,500 & 3 \\\text { C } & 37,500 & 2\end{array}$

Round the following to whole percentages using the Jefferson method: 6.5% + 38.1% + 1.2% + 17.0% + 12.5% + 24.7% = 100%

Given three states with the populations shown below, and a national senate with 10 seats, use the Hill-Huntington method of apportionment to distribute the seats to the states. $\begin{array} { l c } \text { State } & \text { Population } \\\text { Apathy } & 69,000 \\\text { Bliss } & 43,500 \\\text { Confusion } & 37,500\end{array}$

Use the following information to answer the Questions: A senate of 20 faculty members represents three departments: math, statistics, and applied math. The seats are to be apportioned according to the numbers of students in each department, which are as follows: $\begin{array}{lccc} \text { Math} &97\\ \text { Statistics} && 83\\ \text { Applied math} &134\\\end{array}$ -What apportionment is produced by Jefferson's method?

Explain the new state paradox.

Use the following information to answer the Questions: Three states have the following populations: $\begin{array}{ll}\underline {\text {State}}&\underline {\text {Population}}\\\mathrm{A} & 10,040 \\\mathrm{~B} & 8000 \\\mathrm{C} & 2050\end{array}$ A house of representatives with 17 members is to be apportioned among these states. -What is the quota for state B?

A county has three districts with the populations shown below. The 11 seats on the county council are to be apportioned using the d'Hondt method. After District A receives its second seat, what is its priority number? $\begin{array} { c c } \text { District } & \text { Population } \\\text { A } & 43,000 \\\text { B } & 32,800 \\\text { C } & 24,200\end{array}$

A country has three states and a national senate with 10 seats. The state populations and the apportionment of the senate seats are shown below. Find the difference in representative shares of states A and B. $\begin{array} { c c c } \text { State } & \text { Population } & \text { Seats } \\\text { A } & 69,000 & 5 \\\text { B } & 43,500 & 3 \\\text { C } & 37,500 & 2\end{array}$

Find the percentage difference of 12 and 17.

Given the cities and the populations below, use the Jefferson method of apportionment to distribute 25 seats on a regional board. $\begin{array} { l c } \text { City } & \text { Population } \\\text { Greenville } & 34,569 \\\text { Riverdale } & 27,943 \\\text { Oceanside } & 21,350 \\\text { Parkview } & 16,138\end{array}$

Use the method of Hamilton to round each of the numbers in the sum 2.50 + 1.65 + 0.54 + 1.63 + 3.68 = 10 to a whole number, preserving the total of 10.

The manager of a busy restaurant is working on a schedule for the restaurant's 25 food servers. There are three shifts, as identified below: $\begin{array}{cc}\text { Shift } & \text { Average number } \\& \text { of customers } \\1 & 164 \\2 & 560 \\3 & 328\end{array}$ Use the Webster method to determine how many food servers should be scheduled for each shift.