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Solved: A corporation has two branches, A and B. Each year
Chapter 0, Problem 43(choose chapter or problem)
A corporation has two branches, A and B. Each year the company awards 33 promotions within its branches. The table shows the number of employees in each branch.
\(\begin{array}{|l|c|c|c|} \hline \text { Branch } & \text { A } & \text { B } & \text { Total } \\ \hline \text { Employees } & 372 & 1278 & 1650 \\ \hline \end{array}\)
a. Use Hamilton's method to apportion the promotions.
b. Suppose that a third branch, C, with the number of employees shown in the table, is added to the corporation. The company adds seven new yearly promotions for branch C. Use Hamilton's method to determine if the new-states paradox occurs when the promotions are reapportioned.
Questions & Answers
QUESTION:
A corporation has two branches, A and B. Each year the company awards 33 promotions within its branches. The table shows the number of employees in each branch.
\(\begin{array}{|l|c|c|c|} \hline \text { Branch } & \text { A } & \text { B } & \text { Total } \\ \hline \text { Employees } & 372 & 1278 & 1650 \\ \hline \end{array}\)
a. Use Hamilton's method to apportion the promotions.
b. Suppose that a third branch, C, with the number of employees shown in the table, is added to the corporation. The company adds seven new yearly promotions for branch C. Use Hamilton's method to determine if the new-states paradox occurs when the promotions are reapportioned.
ANSWER:
Step 1 of 3
It is given that the company awards 33 promotions within its branches.
The standard divisor is defined as,
\(\text { Standard divisor }=\frac{\text { total population }}{\text { number of allocated items }}\)
The standard quota is defined as,
\(\text { Standard quota }=\frac{\text { population of a particular group }}{\text { standard divisor }}\)