JEFFERSON'S METHOD Problem Set: Region A B C D Population 56,051 84,076 112,101 168,152 140,127 25% Total 560,506 100% Sample Problem (As a guide to answer prob set): STEPS O 1. Determine how many people each representative represent. o Do this by dividing the total population of all stated by the total number of representatives Answer is called the standard divisor or divisor O 2. Divide each state's population by the divisor to determine how many representative it should have O Record answer to several decimal places Answer is call quota O 3. Cut of all the decimal parts of all the quotas (but don't forget what the decimals were) . PUI and PUI (in These are called the lower quotas Sum will always be less than or equal to the total number of representatives Too percentage) Quota) 10% 15% 20% 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. Provinces Population 2015 data) 1.478.000 2.094.000 2,123,000 2.884.000 . The divisor we end up using is called the modified divisor or adjusted divisor . 30% RENDRE REND should 14,414,000 SQ Second step: Divide each province's population to get the SQ using the divisor. Just put up to 4 decimal places for the quota 12.2015 96153 13:06:20 Third step: Since we're still short of 2 doctors, we need to modify the divisor by reducing it to yield higher quota Number of Ductors by o Initial SD = 228,793.6508 SQL 16 9 13 13 12 9 13 63 First step: Let's go back to first step, this time, we're going to change our divisor SQ (Standard o 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 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) 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 MSD must be less than the Standard Divisor By trial and error O O Not unique 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. I 2 3 4 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 Provinces Total -~3JY 2 Provinces Population (2015 data") No. of Test kits by Jefferson's plan 4 3,678,000 2,694,000 2,123,000 2,884,000 3,035,000 14,414,000 SQ Population (2015 data*) 3,678,000 + 2,694,000+ 2,123,000 2,884,000 3,035,000 4 144 1400 16.0756 11.7748 9.2791 12.6052 13.2652 SQL 16 11 12 13 61 Number of Doctors by Jefferson's Plan