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WEBSTER'S METHOD Problem Set Region A B C D E Total Population 56,056 84,076 112,101 168,152 140,127 560,506 PUI and PUI Quota (in percentage) 10% 15% 20% 30% 25% 100% Sample Problem (As a guide to answer prob set) STEPS 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 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 standard quota or quota 3. Round all the Quotas to the nearest whole number (but don't forget what the decimals were) o Add the values, which can be called initial allocation or initial apportionment 4. If the total from Step 3 is less than the total number of representatives, reduce the standard divisor and recalculate the quota and allocation. If it is larger, then increase the divisor and recalculate the quota and allocation. Continue doing this until we meet the desired total number of allocation needed. SAMPLE PROBLEM Step 1. Compute the Standard Divisor Step 2. Compute the Standard Quota or Quota per state (SQ) Step 3. Compute the Standard Quota Round Off (SQRO) value and its summation Step 4: If the total of the SQRO is the same then it is done. If not, the Standard Divisor is incorrect and there should be a Modified Standard Divisor (MSD) o If the SQRD is greater than the total number to apportion MSD should be greater than SD, otherwise MSD

WEBSTER'S METHOD Problem Set Region A B C D E Total Population 56,056 84,076 112,101 168,152 140,127 560,506 PUI and PUI Quota (in percentage) 10% 15% 20% 30% 25% 100% Sample Problem (As a guide to answer prob set) STEPS 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 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 standard quota or quota 3. Round all the Quotas to the nearest whole number (but don't forget what the decimals were) o Add the values, which can be called initial allocation or initial apportionment 4. If the total from Step 3 is less than the total number of representatives, reduce the standard divisor and recalculate the quota and allocation. If it is larger, then increase the divisor and recalculate the quota and allocation. Continue doing this until we meet the desired total number of allocation needed. SAMPLE PROBLEM Step 1. Compute the Standard Divisor Step 2. Compute the Standard Quota or Quota per state (SQ) Step 3. Compute the Standard Quota Round Off (SQRO) value and its summation Step 4: If the total of the SQRO is the same then it is done. If not, the Standard Divisor is incorrect and there should be a Modified Standard Divisor (MSD) o If the SQRD is greater than the total number to apportion MSD should be greater than SD, otherwise MSD

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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Answer in Webster's Method with Standard Deviation of 361.6168.

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%
WEBSTER'S METHOD Problem Set Region A B C D E Total Population 56,056 84,076 112,101 168,152 140,127 560,506 PUI and PUI Quota (in percentage) 10% 15% 20% 30% 25% 100% Sample Problem (As a guide to answer prob set) STEPS 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 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 standard quota or quotal 3. Round all the Quotas to the nearest whole number (but don't forget what the decimals were) o Add the values, which can be called initial allocation or initial apportionment 4. If the total from Step 3 is less than the total number of representatives, reduce the standard divisor and recalculate the quota and allocation. If it is larger, then increase the divisor and recalculate the quota and allocation. Continue doing this until we meet the desired total number of allocation needed. SAMPLE PROBLEM Step 1. Compute the Standard Divisor Step 2. Compute the Standard Quota or Quota per state (SQ) Step 3. Compute the Standard Quota Round Off (SQRO) value and its summation Step 4: If the total of the SQRO is the same then it is done. If not, the Standard Divisor is incorrect and there should be a Modified Standard Divisor (MSD) o If the SQRD is greater than the total number to apportion MSD should be greater than SD, otherwise MSD <SD O Step 5: Compute the Standard Quota (with MSD) Step 6: Compute the Standard Quota Round Off (SQRO) value and its summation Step 7: If the total of the SQRO is the same then it is done and the MSD is correct. If not then change the MSD again Step 8: Decision Provinces I 2 3 4 S Total: Team Us 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? ● SQ (RO) (Standard Quota Round off) Provinces I 2 3,678,000 2,694,000 2,123,000 2,884,000 3,035,000 14,414,000 3 4 f Population (2015 data") No. of Test kits by Webster's plan Quota 16.0756 11.7748 9.2791 12.6052 13.2652 Population (2015 data*) 3,678,000 2,694,000 2,123,000 2,884,000 3,035,000 SQ (RO) 16 12 9 13 13 63 Number of Doctors by Webster's Plan 16 12 9 13 13 Find the standard divisor 14,414,000/63=228,793.6508 Since the sum of the SQ(RO) is the same as the number of people to apportion, then we are done
Transcribed Image Text:WEBSTER'S METHOD Problem Set Region A B C D E Total Population 56,056 84,076 112,101 168,152 140,127 560,506 PUI and PUI Quota (in percentage) 10% 15% 20% 30% 25% 100% Sample Problem (As a guide to answer prob set) STEPS 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 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 standard quota or quotal 3. Round all the Quotas to the nearest whole number (but don't forget what the decimals were) o Add the values, which can be called initial allocation or initial apportionment 4. If the total from Step 3 is less than the total number of representatives, reduce the standard divisor and recalculate the quota and allocation. If it is larger, then increase the divisor and recalculate the quota and allocation. Continue doing this until we meet the desired total number of allocation needed. SAMPLE PROBLEM Step 1. Compute the Standard Divisor Step 2. Compute the Standard Quota or Quota per state (SQ) Step 3. Compute the Standard Quota Round Off (SQRO) value and its summation Step 4: If the total of the SQRO is the same then it is done. If not, the Standard Divisor is incorrect and there should be a Modified Standard Divisor (MSD) o If the SQRD is greater than the total number to apportion MSD should be greater than SD, otherwise MSD <SD O Step 5: Compute the Standard Quota (with MSD) Step 6: Compute the Standard Quota Round Off (SQRO) value and its summation Step 7: If the total of the SQRO is the same then it is done and the MSD is correct. If not then change the MSD again Step 8: Decision Provinces I 2 3 4 S Total: Team Us 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? ● SQ (RO) (Standard Quota Round off) Provinces I 2 3,678,000 2,694,000 2,123,000 2,884,000 3,035,000 14,414,000 3 4 f Population (2015 data") No. of Test kits by Webster's plan Quota 16.0756 11.7748 9.2791 12.6052 13.2652 Population (2015 data*) 3,678,000 2,694,000 2,123,000 2,884,000 3,035,000 SQ (RO) 16 12 9 13 13 63 Number of Doctors by Webster's Plan 16 12 9 13 13 Find the standard divisor 14,414,000/63=228,793.6508 Since the sum of the SQ(RO) is the same as the number of people to apportion, then we are done
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