JEFFERSON'S METHOD Problem Set: Region A B C D E Population 56,056 84,076 112,101 168,152 140,127 Total 560,506 100% Sample Problem (As a guide to answer prob set): STEPS I PUI and PUISQ (in 1. Determine how many people each representative should represent. O Do this by dividing the total population of all stated by the total number of representatives o Answer is called the standard divisor or divisor percentage) Quota) 10% 2. Divide each state's population by the divisor to determine how many representative it should have Prvi o Record answer to several decimal places o Answer is called the quota 3. Cut of all the decimal parts of all the quotas (but don't forget what the decimals were) 1 2 15% o These are called the lower quotas o Sum will always be less than or equal to the total number of representatives If the total number of representatives from Step 3 was less than the given total number of representatives, reduce the divisor and recalculate the quota and allocation. Continue doing this until total in Step 3 is equal to the total number of representatives. 4 20% 30% The divisor we end up using is called the modified divisor or adjusted divisor (15) 25% 3.678,000 2694,000 2:123,000 2.884.000 3.005.000 14,414000 . Second step: Umde each province's population to get the SQ using the divisor. Just put up to 4 decimal places for the quota • Third step: Since we're still short of 2 doctors, we need to modify the divisor by reducing it to yield higher quota SQ 1651 12.2015 96153 130829 SQL Initial SD228.793.6508 16 12 3 13 13 63 Number of Doctors by J's Pl 16 12 20 9 13 1) 63 . First step: Let's go back to first step, this time, we're going to change our divisor Modified Standard Divisor (MSD)= 220,793 . Second step: Divide each province's population to get the quota using the MSD. Just put up to 4 decimal places for the quota (Standard • Third step: Since we achieved 63, now we are set to use the modified divisor of 220,793 for this problem. Note: Getting the MSD is by trial and error. The only due is that the MSD must be lesser than the SD SQL (Standard Quota Lower) Step 1. Compute the Standard Divisor Step 2. Compute the Standard Quota or Quota per state (SQ) Step 3. Use the concept of Lower Quota (SQL) O Get the summation of SQL SAMPLE PROBLEM Step 4. If the total of the SQL is the same then it is done. If not, the Standard Divisor is incorrect and there should be a Modified Standard Divisor (MSD) O O MSD must be less than the Standard Divisor By trial and error Not unique O Step 5: Compute the Standard Quota (with MSD) Step 6: Compute the Standard Quota Lower and its summation Step 7: Step 4. If the total of the SQL is the same then it is done. If not then change the MSD again. YARN - Us Team is planning to conduct a region-wide medical mission. Sixty three doctors pledged to be part of it. If the number of doctors that will be assigned to each province is based on their population, how many doctors will be assigned to each province? 22879.34 Provinces Total No. of Test kits by Jefferson's plan I 2 3 Provinces Population (2015 data") ड 3,678,000 2,694,000 2,123,000 2,884,000 3,035,000 14,414,000 SQ Population (2015 data*) 16.0756 11.7748 9.2791 12.6052 13.2652 3,678,000 + 2,694,000 * 2,123,000 2,884,000+ 3,035,000 144 1400 SQL 16 11 9 12 13 61 Number of Doctors by Jefferson's Plan

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10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer this in Jefferson's Method

JEFFERSON'S METHOD
Problem Set:
Region
A
B
C
D
E
Population
56,056
84,076
112,101
|
168,152
140, 127
PUI and PUISQ
(in
Total
560,506
100%
Sample Problem (As a guide to answer prob set):
STEPS
1. Determine how many people each representative should
represent.
O
Provinces Population (201
1
2
percentage) Quota)
10%
Do this by dividing the total population of all
stated by the total number of representatives
o Answer is called the standard divisor or divisor
2. Divide each state's population by the divisor to determine
how many representative it should have
o Record answer to several decimal places
o Answer is called the quota
3. Cut of all the decimal parts of all the quotas (but don't
forget what the decimals were)
3
4
15%
o These are called the lower quotas
o Sum will always be less than or equal to the total
number of representatives
If the total number of representatives from Step 3 was less than
the given total number of representatives, reduce the divisor and
recalculate the quota and allocation. Continue doing this until
total in Step 3 is equal to the total number of representatives.
3,678,000
2694,000
2:123,000
2.884,000
3.005.000
14,414000
20%
30%
The divisor we end up using is called the modified divisor or
adjusted divisor
SQ
25%
1651
12.2015
26153
• Second step: Umde each province's population to get
the SQ using the divisor. Just put up to 4 decimal places.
for the quota
• Third step: Since we're still short of 2 doctors, we need
to modify the divisor by reducing it to yield higher quota
137458
SOL
16
12
3
13
13
63
Number of Doctors by
Jeffer's Plan
12
9
13
1)
63
. First step: Let's go back to first step, this time, we're
going to change our divisor
Initial SD = 228.793.6508
Modified Standard Divisor (MSD)=220,793
. Second step: Divide each province's population to get
(Standard
the quota using the MSD. Just put up to 4 decimal places
for the quota
• Third step: Since we achieved 63, now we are set to use
the modified divisor of 220,793 for this problem
Note: Getting the MSD is by trial and error. The only due
is that the MSD must be lesser than the SD
O
Step 1. Compute the Standard Divisor
Step 2. Compute the Standard Quota or Quota per state (SQ)
Step 3. Use the concept of Lower Quota (SQL)
O Get the summation of SQL
SQL
(Standard
Quota
Lower)
Step 4. If the total of the SQL is the same then it is done. If not, the
Standard Divisor is incorrect and there should be a Modified
Standard Divisor (MSD)
MSD must be less than the Standard Divisor
By trial and error
Not unique
SAMPLE PROBLEM
Step 5: Compute the Standard Quota (with MSD)
Step 6: Compute the Standard Quota Lower and its
summation
Step 7: Step 4. If the total of the SQL is the same then it is done.
If not then change the MSD again.
YARN -
Us Team is planning to conduct a region-wide medical mission.
Sixty three doctors pledged to be part of it. If the number of doctors
that will be assigned to each province is based on their population,
how many doctors will be assigned to each province?
22879.34
Provinces
3
5
Total
Provinces Population (2015 data")
I
2
3
No. of Test
kits by
Jefferson's
plan
ड
3,678,000
2,694,000
2,123,000
2,884,000
3,035,000
14,414,000
SQ
Population
(2015 data*)
16.0756
11.7748
9.2791
12.6052
13.2652
3,678,000 +
2,694,000 *
2,123,000
2,884,000
3,035,000
1441400
SQL
16
11
9
12
13
61
Number of
Doctors by
Jefferson's Plan
Transcribed Image Text:JEFFERSON'S METHOD Problem Set: Region A B C D E Population 56,056 84,076 112,101 | 168,152 140, 127 PUI and PUISQ (in Total 560,506 100% Sample Problem (As a guide to answer prob set): STEPS 1. Determine how many people each representative should represent. O Provinces Population (201 1 2 percentage) Quota) 10% Do this by dividing the total population of all stated by the total number of representatives o Answer is called the standard divisor or divisor 2. Divide each state's population by the divisor to determine how many representative it should have o Record answer to several decimal places o Answer is called the quota 3. Cut of all the decimal parts of all the quotas (but don't forget what the decimals were) 3 4 15% o These are called the lower quotas o Sum will always be less than or equal to the total number of representatives If the total number of representatives from Step 3 was less than the given total number of representatives, reduce the divisor and recalculate the quota and allocation. Continue doing this until total in Step 3 is equal to the total number of representatives. 3,678,000 2694,000 2:123,000 2.884,000 3.005.000 14,414000 20% 30% The divisor we end up using is called the modified divisor or adjusted divisor SQ 25% 1651 12.2015 26153 • Second step: Umde each province's population to get the SQ using the divisor. Just put up to 4 decimal places. for the quota • Third step: Since we're still short of 2 doctors, we need to modify the divisor by reducing it to yield higher quota 137458 SOL 16 12 3 13 13 63 Number of Doctors by Jeffer's Plan 12 9 13 1) 63 . First step: Let's go back to first step, this time, we're going to change our divisor Initial SD = 228.793.6508 Modified Standard Divisor (MSD)=220,793 . Second step: Divide each province's population to get (Standard the quota using the MSD. Just put up to 4 decimal places for the quota • Third step: Since we achieved 63, now we are set to use the modified divisor of 220,793 for this problem Note: Getting the MSD is by trial and error. The only due is that the MSD must be lesser than the SD O Step 1. Compute the Standard Divisor Step 2. Compute the Standard Quota or Quota per state (SQ) Step 3. Use the concept of Lower Quota (SQL) O Get the summation of SQL SQL (Standard Quota Lower) Step 4. If the total of the SQL is the same then it is done. If not, the Standard Divisor is incorrect and there should be a Modified Standard Divisor (MSD) MSD must be less than the Standard Divisor By trial and error Not unique SAMPLE PROBLEM Step 5: Compute the Standard Quota (with MSD) Step 6: Compute the Standard Quota Lower and its summation Step 7: Step 4. If the total of the SQL is the same then it is done. If not then change the MSD again. YARN - Us Team is planning to conduct a region-wide medical mission. Sixty three doctors pledged to be part of it. If the number of doctors that will be assigned to each province is based on their population, how many doctors will be assigned to each province? 22879.34 Provinces 3 5 Total Provinces Population (2015 data") I 2 3 No. of Test kits by Jefferson's plan ड 3,678,000 2,694,000 2,123,000 2,884,000 3,035,000 14,414,000 SQ Population (2015 data*) 16.0756 11.7748 9.2791 12.6052 13.2652 3,678,000 + 2,694,000 * 2,123,000 2,884,000 3,035,000 1441400 SQL 16 11 9 12 13 61 Number of Doctors by Jefferson's Plan
The national government procured a total of 1550 test kits for the five
regions in the country. If the distribution will be solely based on the
total number of PUIs and PUMS combined in the region. How many
test kits will each region receive? Assume that the total population of
the five regions is 560,506.
Regions
A
B
CDE
PUIs and PUMS Population (by
percent)
10%
15%
20%
30%
25%
Transcribed Image Text:The national government procured a total of 1550 test kits for the five regions in the country. If the distribution will be solely based on the total number of PUIs and PUMS combined in the region. How many test kits will each region receive? Assume that the total population of the five regions is 560,506. Regions A B CDE PUIs and PUMS Population (by percent) 10% 15% 20% 30% 25%
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