JEFFERSON'S METHOD Problem Set: Region A B C D E Population 56,051 84,076 112,101 168,152 140,127 Total 560,506 100% Sample Problem (As a guide to answer prob set): STEPS O PUI and PUI (in 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 percentage) Quota) 10% 2. Divide each state's population by the divisor to determine how many representative it should have Record answer to several decimal places Answer is called the quota Provinces Population (2015 data 1 1.478.000 2.694.000 2.123.000 2.884.000 1.031.000 14,454.000 O o 3. Cut of all the decimal parts of all the quotas (but don't forget what the decimals were) o These are called the lower quotas Sum will always be less than or equal to the total number of representatives . 15% . 20% 30% 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. > 4 25% The divisor we end up using is called the modified divisor or adjusted divisor 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 • Third step: Since we're still short of 2 doctors, we need to modify the divisor by reducing it to yield higher quota 16.6581 12.2015 96153 13:0620 13.7450 SQL 16 12 9 13 9 13 13 6 SQ (Standard First step: Let's go back to first step, this time, we're going to change our divisor o Initial SD=228,793.6508 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 SQL (Standard Quota Lower) SAMPLE PROBLEM 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) O Get the summation of SQL 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 O MSD must be less than the Standard Divisor By trial and error 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. 2 3 4 5 Total 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 No. of Test kits by Jefferson's plan -2357 4 Provinces Population (2015 data") 3,678,000 2,694,000 2,123,000 2,884,000 3.035,000 14,414,000 SQ Population (2015 data*) 16.0756 11.7748 9.2791 12.6052 13.2652 3,678,000 + 2,694,000 + 2,123,000 ÷ 2,884,000 4 3,035,000 4 144 1400 SQL 16 11 9 12 13 61 Number of Doctors by Jefferson's Plan