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(a) Using Hamilton's method, find how the 50 park rangers should be allocated according to the new sizes of the reserves. You may use the apportionment tool to help you. To do this, turn ON the apportionment tool, enter a divisor, and click on "Compute". You will then see the quota, the lower quota, the rounded quota (to the nearest whole number), and the upper quota for each nature reserve. You may also click on active cells to fill in the bottom row. Apportionment Tool: OFF Nature reserve Fiddlewood Danae Sunflower Rosebud Snowflake Total Size (in acres) Number of rangers allocated 368 908 356 1049 2744 5425 3.39 8.38 3.28 9.67 25.30 50.02 X 5 (b) Hamilton's method is known to have some flaws. For instance, when objects are allocated to groups according to size using Hamilton's method, and then are re-allocated after the groups change in size, a paradoxical behavior known as the population paradox might occur. The Population Paradox A group with a greater percentage increase in size loses apportioned objects to a group with a smaller percentage increase. Does the population paradox occur in part (a) with the new sizes of the reserves? Yes No X G

(a) Using Hamilton's method, find how the 50 park rangers should be allocated according to the new sizes of the reserves. You may use the apportionment tool to help you. To do this, turn ON the apportionment tool, enter a divisor, and click on "Compute". You will then see the quota, the lower quota, the rounded quota (to the nearest whole number), and the upper quota for each nature reserve. You may also click on active cells to fill in the bottom row. Apportionment Tool: OFF Nature reserve Fiddlewood Danae Sunflower Rosebud Snowflake Total Size (in acres) Number of rangers allocated 368 908 356 1049 2744 5425 3.39 8.38 3.28 9.67 25.30 50.02 X 5 (b) Hamilton's method is known to have some flaws. For instance, when objects are allocated to groups according to size using Hamilton's method, and then are re-allocated after the groups change in size, a paradoxical behavior known as the population paradox might occur. The Population Paradox A group with a greater percentage increase in size loses apportioned objects to a group with a smaller percentage increase. Does the population paradox occur in part (a) with the new sizes of the reserves? Yes No X G

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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(a) Using Hamilton's method, find how the 50 park rangers should be allocated according to the new sizes of the reserves. You may use the apportionment tool to help you. To do this, turn ON the apportionment tool, enter a divisor, and click on "Compute". You will then see the quota, the lower quota, the rounded quota (to the nearest whole number), and the upper quota for each nature reserve. You may also click on active cells to fill in the bottom row. Apportionment Tool: OFF Nature reserve Fiddlewood Danae Sunflower Rosebud. Snowflake Total Size (in acres) Number of rangers 368 908 356 1049 2744 5425 3.39 8.38 3.28 9.67 25.30 50.02 allocated (b) Hamilton's method is known to have some flaws. For instance, when objects are allocated to groups according to size using Hamilton's method, and then are re-allocated after the groups change in size, a paradoxical behavior known as the population paradox might occur. The Population Paradox A group with a greater percentage increase in size loses apportioned objects to a group with a smaller percentage increase. Does the population paradox occur in part (a) with the new sizes of the reserves? Yes No x 5
Transcribed Image Text:(a) Using Hamilton's method, find how the 50 park rangers should be allocated according to the new sizes of the reserves. You may use the apportionment tool to help you. To do this, turn ON the apportionment tool, enter a divisor, and click on "Compute". You will then see the quota, the lower quota, the rounded quota (to the nearest whole number), and the upper quota for each nature reserve. You may also click on active cells to fill in the bottom row. Apportionment Tool: OFF Nature reserve Fiddlewood Danae Sunflower Rosebud. Snowflake Total Size (in acres) Number of rangers 368 908 356 1049 2744 5425 3.39 8.38 3.28 9.67 25.30 50.02 allocated (b) Hamilton's method is known to have some flaws. For instance, when objects are allocated to groups according to size using Hamilton's method, and then are re-allocated after the groups change in size, a paradoxical behavior known as the population paradox might occur. The Population Paradox A group with a greater percentage increase in size loses apportioned objects to a group with a smaller percentage increase. Does the population paradox occur in part (a) with the new sizes of the reserves? Yes No x 5
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