(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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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