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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 C DE PUIS and PUMS Population (by percent) 10% 15% 20% 30% 25%

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 C DE PUIS and PUMS Population (by percent) 10% 15% 20% 30% 25%

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 Huntington-hill method

HUNTINTON-HILL'S METHOD Problem Set Region Populati PUI and Quota PUI (in on percenta ge) A B C D E Total 56,056 10% 84,076 15% 112,101 20% 168,152 30% 140,127 25% 560,506 100% Sample Problem (As a guide to answer prob set) 1. Calculate the standard quota 2. Determine the geometric mean (rounded to 2 decimal places) of each sub-group lower's quota and upper quota a. If the standard quota is less than the geometric mean, round the quota down b. If the standard quota is greater than or equal to the geometric mean, round the quota up 3. If the sum of rounded standard quotas equals the number of representatives, you are done. Otherwise, choose a modifies standard divisor and calculate the modified quotas and rounded modified quotas. Repeat process until the required number is achieved. SAMPLE PROBLEM Step 1. Compute the Standard Divisor total population Step 2. Compute the Standard Quota or Quota per state (SQ) Step 3. Compute the SQU Step 4: Compute the SQL Step 5: Compute the Geometric Mean (GM) = √(SQUXSQL) Step 6: Compare the Standard Quota and Geometric Mean and get its summation greater If the SQ is greater than the Geometric Mean therefore the SQU will be used. If the SQ is less than the Geometric Mean therefore the SQL will be used Step 7: Compare the total number of objects to the summation in Step 6, if it is the same then it is done. If not, MSD is needed O O GM SQU (Standar (Geomet d Quota Upper) The basis of MSD is by using the Webster's Method If the summation is greater than the total number to apportion O MSD should be greater than SD, otherwise MSD <SD Step 8: Repeat starting from Step 3, until the summation of the given comparison and the total number of objects to 7 apportion is the same Sum of comparison greater than Step 9: Decision less than 9 Barangay Population Zone 1 Zone 2 Zone 3 Zone 4 Total ric Mean) √(SQU) (SQL) • 55 licensed health workers plan to render their health services for free here in the zone of the City of Miami during this pandemic period. How many licensed health workers will be assigned to each one? Barangays ● ● Zone 1 Zone 2 Zone 3 Zone 4 SQL (Standar d Quota Lower) Quota Population (data from 2015 census) SQU 10,019 27.9491 28 1,258 3.5093 4 5,168 14.4167 15 3,271 9.1248 10 19,716 10,019 1,258 5,168 3,271 SQL 27 3 14 9 No. of Test kits by GM Huntingt on-Hill plan Standard Divisor = 358.4727 SQU (Standard Quota Upper) round up • SQL (Standard Quota Lower) - values in the Quota round down 27.4955 3.4641 14.4914 9.4868 Number of Health Workers by Huntington-Hill Plan 28 4 14 9 55 values in the Quota TEE Since our answer is equals to 55 therefore our work is done. If ever the answer isn't equal to the required total. number of representatives, modify the divisor, and repeat the process until we achieved the desired number. GM (Geometric Mean) = √(SQU) (SQL) Note: In the Huntington-Hill Method (last column) if the Quota > GM round up otherwise round down
Transcribed Image Text:HUNTINTON-HILL'S METHOD Problem Set Region Populati PUI and Quota PUI (in on percenta ge) A B C D E Total 56,056 10% 84,076 15% 112,101 20% 168,152 30% 140,127 25% 560,506 100% Sample Problem (As a guide to answer prob set) 1. Calculate the standard quota 2. Determine the geometric mean (rounded to 2 decimal places) of each sub-group lower's quota and upper quota a. If the standard quota is less than the geometric mean, round the quota down b. If the standard quota is greater than or equal to the geometric mean, round the quota up 3. If the sum of rounded standard quotas equals the number of representatives, you are done. Otherwise, choose a modifies standard divisor and calculate the modified quotas and rounded modified quotas. Repeat process until the required number is achieved. SAMPLE PROBLEM Step 1. Compute the Standard Divisor total population Step 2. Compute the Standard Quota or Quota per state (SQ) Step 3. Compute the SQU Step 4: Compute the SQL Step 5: Compute the Geometric Mean (GM) = √(SQUXSQL) Step 6: Compare the Standard Quota and Geometric Mean and get its summation greater If the SQ is greater than the Geometric Mean therefore the SQU will be used. If the SQ is less than the Geometric Mean therefore the SQL will be used Step 7: Compare the total number of objects to the summation in Step 6, if it is the same then it is done. If not, MSD is needed O O GM SQU (Standar (Geomet d Quota Upper) The basis of MSD is by using the Webster's Method If the summation is greater than the total number to apportion O MSD should be greater than SD, otherwise MSD <SD Step 8: Repeat starting from Step 3, until the summation of the given comparison and the total number of objects to 7 apportion is the same Sum of comparison greater than Step 9: Decision less than 9 Barangay Population Zone 1 Zone 2 Zone 3 Zone 4 Total ric Mean) √(SQU) (SQL) • 55 licensed health workers plan to render their health services for free here in the zone of the City of Miami during this pandemic period. How many licensed health workers will be assigned to each one? Barangays ● ● Zone 1 Zone 2 Zone 3 Zone 4 SQL (Standar d Quota Lower) Quota Population (data from 2015 census) SQU 10,019 27.9491 28 1,258 3.5093 4 5,168 14.4167 15 3,271 9.1248 10 19,716 10,019 1,258 5,168 3,271 SQL 27 3 14 9 No. of Test kits by GM Huntingt on-Hill plan Standard Divisor = 358.4727 SQU (Standard Quota Upper) round up • SQL (Standard Quota Lower) - values in the Quota round down 27.4955 3.4641 14.4914 9.4868 Number of Health Workers by Huntington-Hill Plan 28 4 14 9 55 values in the Quota TEE Since our answer is equals to 55 therefore our work is done. If ever the answer isn't equal to the required total. number of representatives, modify the divisor, and repeat the process until we achieved the desired number. GM (Geometric Mean) = √(SQU) (SQL) Note: In the Huntington-Hill Method (last column) if the Quota > GM round up otherwise round down
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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