Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
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%

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%

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
See similar textbooks
icon
Related questions
Question

Answer in Adam's Method

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%
ADAM'S METHOD Problem Set: Region A B с D E Total 1 Districts Malaya Masaya Makabangon Makabayan Total . Population 56,056 84,076 112,101 168,152 140,127 560,506 Sample Problem (As a guide to answer prob set) STEPS Districts Malaya Masaya 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 Population Makabangon Makabayan Total 55,000 30,012 25,758 15,123 125,893 If SQ is 60,000 OSQ (RO)-45 SQ 524.2549 286.0716 245.5229 144.1510 SQL-60 SQU-60 55,000 30,012 Population Quota w/ MSD 25,758 15,123 125,893 PUI and PUI SQ (in percentage) Quota) 10% 15% 523.3111 285.5566 20% Standard Divisor = 125,893/ 1200 = 104.9108 If SQ is 45.0001 oSQL-45 OSQU-46 245.0809 30% 143.8915 25% 100% C O o SQ (RO) - 60 Since our initial allocation is above our total number of pills then we need to increase our divisor to yield smaller quota SQU 525 287 246 145 1203 SQU 524 286 246 Number of Pills per District 144 1200 Number of Pills per District by Adam's Method Standard Divisor = 125,893/ 1200 = 104.9108 Modified Standard Divisor = 105.10 524 286 246 (Standard 144 Round up all quota. Then add. Since we achieved the desired the total number of pills, it means our modified divisor for this problem is 105.10 3. SQU (Standard Quota Upper) O o Record answer to several decimal places Answer is called the standard quota or quota No. of Test kits by Adam's plan Round up all the quotas to the nearest whole number O Add the values, which can be called initial allocation or initial apportionment 4. If the sum of initial allocations is larger than our given. allocations then modify the divisor by increasing our standard divisor O Repeat step 2,3,4 until we can allocate all representatives properly 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 Up value (SQU) and its summation Step 4: If the total of the SQU 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 greater than the Standard Divisor Step 5: Compute the Standard Quota (with MSD) Step 6: Compute the Standard Quota Upper (SQU) and its summation Step 7: If the total of the SQU is the same then it is done and the MSD is correct. If not then change the MSD again Step 8: Decision A group of chemists was able to create anti-hunger pills. They plan to give all 1200 pills they created to 4 districts to alleviate hunger due to bring quarantined caused by the pandemic. If they will base the division of their pills to the number of the population in each district, how many pills will each district receive? Districts Population 55,000 Malaya Masaya Makabangon Makabayan 30,012 25,758 15,123 125893 1200 524.2549 286.0714 245.5229 144, 1510 Page 4 of 8 104.9108
Transcribed Image Text:ADAM'S METHOD Problem Set: Region A B с D E Total 1 Districts Malaya Masaya Makabangon Makabayan Total . Population 56,056 84,076 112,101 168,152 140,127 560,506 Sample Problem (As a guide to answer prob set) STEPS Districts Malaya Masaya 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 Population Makabangon Makabayan Total 55,000 30,012 25,758 15,123 125,893 If SQ is 60,000 OSQ (RO)-45 SQ 524.2549 286.0716 245.5229 144.1510 SQL-60 SQU-60 55,000 30,012 Population Quota w/ MSD 25,758 15,123 125,893 PUI and PUI SQ (in percentage) Quota) 10% 15% 523.3111 285.5566 20% Standard Divisor = 125,893/ 1200 = 104.9108 If SQ is 45.0001 oSQL-45 OSQU-46 245.0809 30% 143.8915 25% 100% C O o SQ (RO) - 60 Since our initial allocation is above our total number of pills then we need to increase our divisor to yield smaller quota SQU 525 287 246 145 1203 SQU 524 286 246 Number of Pills per District 144 1200 Number of Pills per District by Adam's Method Standard Divisor = 125,893/ 1200 = 104.9108 Modified Standard Divisor = 105.10 524 286 246 (Standard 144 Round up all quota. Then add. Since we achieved the desired the total number of pills, it means our modified divisor for this problem is 105.10 3. SQU (Standard Quota Upper) O o Record answer to several decimal places Answer is called the standard quota or quota No. of Test kits by Adam's plan Round up all the quotas to the nearest whole number O Add the values, which can be called initial allocation or initial apportionment 4. If the sum of initial allocations is larger than our given. allocations then modify the divisor by increasing our standard divisor O Repeat step 2,3,4 until we can allocate all representatives properly 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 Up value (SQU) and its summation Step 4: If the total of the SQU 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 greater than the Standard Divisor Step 5: Compute the Standard Quota (with MSD) Step 6: Compute the Standard Quota Upper (SQU) and its summation Step 7: If the total of the SQU is the same then it is done and the MSD is correct. If not then change the MSD again Step 8: Decision A group of chemists was able to create anti-hunger pills. They plan to give all 1200 pills they created to 4 districts to alleviate hunger due to bring quarantined caused by the pandemic. If they will base the division of their pills to the number of the population in each district, how many pills will each district receive? Districts Population 55,000 Malaya Masaya Makabangon Makabayan 30,012 25,758 15,123 125893 1200 524.2549 286.0714 245.5229 144, 1510 Page 4 of 8 104.9108
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS