ADAM'S METHOD Problem Set: Region A B C D E Total 1. Districts Population 56,056 84,076 112,101 ● 168,152 140,127 560,506 Malaya 55,000 Masaya 30,012 Makabangon 25,758 Makabayan Total Districts Sample Problem (As a guide to answer prob set) STEPS Population Malaya Masaya Makabangon Makabayan Total Determine how many people each representative should represent. o 15,123 125,893 2. Divide each state's population by the divisor to determine how many representative it should have . If SQ is 60,000 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 SQL-45 SQU-46 524.2549 286.0716 245.5229 144.1510 SQ O SQ (RO)-45 SQL-60 SQU-60 PUI and PUI (in 55,000 30,012 25,758 15,123 125,893 Population Quota w/ MSD percentage) Quota) 10% 15% 523.3111 20% 285.5566 30% ● Standard Divisor = 125,893/ 1200 = 104.9108 If SQ is 45.0001 o O 245,0809 143,8915 25% 100% 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 SQ (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 SQU (Standard Quota Upper) 3. Record answer to several decimal places. Answer is called the standard quota or quota Round up all the quotas to the nearest whole number 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 Repeat step 2,3,4 until we can allocate all representatives properly SAMPLE PROBLEM O 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 No. of Test kits by Adam's plan 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 30,012 25,758 15,123 125893 ÷ 1200 Malaya Masaya Makabangon Makabayan 524.2549 286.0714 245.5229 144.1510 Page 4 of 8 104.9108