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and your answer to three decimal places.) Absolute unfairness = Average constituency of A - Average constituency of B Population of A Number of representatives for A the absolute unfairness if Hill Street gets the new social worker. Population of B Number of representatives for B

and your answer to three decimal places.) Absolute unfairness = Average constituency of A - Average constituency of B Population of A Number of representatives for A the absolute unfairness if Hill Street gets the new social worker. Population of B Number of representatives for B

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The following table shows the number of social workers and the number of cases (the case load) handled by the social workers for two offices. The number of social workers for each office was determined by using the Huntington-Hill apportionment method. A new social worker is to be hired for one of the offices. Hill Street office Valley office Number of social workers Case load Part 1 of 4 20 24 Exercise (a) Use the apportionment principle to determine to which office the social worker should be assigned. 597 729 The apportionment principle states that when adding a new representative, the representative is assigned in a way as to give the smallest relative unfairness of apportionment. In this case, the representative is the new social worker, and the population is the case load. Before relative unfairness can be calculated, we must first find the absolute unfairness. Absolute unfairness is calculated using the formula below. (Round your answer to three decimal places.) Absolute unfairness = Average constituency of A- Average constituency of E B Absolute unfairness (Hill Street) = Population of A Number of representatives for A Find the absolute unfairness if Hill Street gets the new social worker. 597 20 X X Population of B Number of representatives for B 24 729 ✔
Transcribed Image Text:The following table shows the number of social workers and the number of cases (the case load) handled by the social workers for two offices. The number of social workers for each office was determined by using the Huntington-Hill apportionment method. A new social worker is to be hired for one of the offices. Hill Street office Valley office Number of social workers Case load Part 1 of 4 20 24 Exercise (a) Use the apportionment principle to determine to which office the social worker should be assigned. 597 729 The apportionment principle states that when adding a new representative, the representative is assigned in a way as to give the smallest relative unfairness of apportionment. In this case, the representative is the new social worker, and the population is the case load. Before relative unfairness can be calculated, we must first find the absolute unfairness. Absolute unfairness is calculated using the formula below. (Round your answer to three decimal places.) Absolute unfairness = Average constituency of A- Average constituency of E B Absolute unfairness (Hill Street) = Population of A Number of representatives for A Find the absolute unfairness if Hill Street gets the new social worker. 597 20 X X Population of B Number of representatives for B 24 729 ✔
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