Professional Certificate Program in Product Management
Massachusetts Institute of Technology
December 2024

CardioAI
B2B2C Medical Hardware and Software Platform Impact Project - Group 2
Author: Ariel Gonzalez

Logistic Growth Model

Using the Logistic Growth equation and a density-dependent decline term (also known as the Allee Effects equation), our Team has developed a system of seven differential equations that allow us to model multiple business-specific and topology-specific metrics such as the number of computing units based on processing requirements, computing cost, storage cost, archive cost, number of storage data IO operations, number of archive data IO operations, storage data IO operations cost, archive data IO operations cost, infrastructure cost, total carbon footprint, carbon footprint by infrastructure tier, gross revenue, net revenue, and cost per platform user, among other metrics. In addition, our model has 34 different coefficients that can be adjusted to perform various business growth experiments, including defining multiple rate plans and modeling those simultaneously to analyze profitability under different growth rates. The results below were derived using 3.5 million users as the carrying capacity (K), an initial pool of 1000 customers (N), a 7% intrinsic growth rate (r), a 1.5% intrinsic decline rate (d), and a time projection of 15 years. We also modeled a Premium, Standard, and Basic plan with costs of $75.00, $35.00, and $15.00, respectively. To review the system of differential equations and the complete list of coefficients, please refer to the document: Logistic Growth Model - R5.


Date Customers Delta Units Units Cost Storage Size (GB) Archive Size (GB) Storage Cost Archive Cost Storage IO Cost Archive IO Cost Infrastructure Cost Per User Cost CO2e (g) Gross Revenue Net Revenue
2026-01-01 1000 55 2 $27,714.66 733.34 488.89 $16.87 $0.73 $48.96 $0.83 $27,782.05 $27.78 5,119.84 $45,200.00 $17,417.95
2026-02-01 1055 58 2 $27,714.66 773.67 515.78 $17.79 $0.77 $51.65 $0.88 $27,785.75 $26.34 5,146.66 $47,686.00 $19,900.25
2026-03-01 1113 61 2 $27,714.66 816.20 544.14 $18.77 $0.81 $54.49 $0.93 $27,789.66 $24.97 5,174.94 $50,307.60 $22,517.94
2026-04-01 1174 64 2 $27,714.66 860.94 573.96 $19.80 $0.85 $57.48 $0.98 $27,793.77 $23.67 5,204.69 $53,064.80 $25,271.03
2026-05-01 1238 68 2 $27,714.66 907.87 605.25 $20.88 $0.90 $60.61 $1.03 $27,798.09 $22.45 5,235.90 $55,957.60 $28,159.51
2026-06-01 1306 71 2 $27,714.66 957.74 638.49 $22.03 $0.95 $63.94 $1.09 $27,802.67 $21.29 5,269.06 $59,031.20 $31,228.53
2026-07-01 1377 75 2 $27,714.66 1,009.81 673.20 $23.23 $1.00 $67.42 $1.15 $27,807.45 $20.19 5,303.69 $62,240.40 $34,432.95
2026-08-01 1452 79 2 $27,714.66 1,064.81 709.87 $24.49 $1.05 $71.09 $1.21 $27,812.51 $19.15 5,340.26 $65,630.40 $37,817.89
2026-09-01 1531 84 2 $27,714.66 1,122.74 748.49 $25.82 $1.11 $74.96 $1.28 $27,817.83 $18.17 5,378.79 $69,201.20 $41,383.37
2026-10-01 1615 88 2 $27,714.66 1,184.34 789.56 $27.24 $1.17 $79.07 $1.35 $27,823.49 $17.23 5,419.75 $72,998.00 $45,174.51
2026-11-01 1703 93 2 $27,714.66 1,248.87 832.58 $28.72 $1.24 $83.38 $1.42 $27,829.42 $16.34 5,462.67 $76,975.60 $49,146.18
2026-12-01 1796 98 2 $27,714.66 1,317.07 878.05 $30.29 $1.30 $87.93 $1.50 $27,835.69 $15.50 5,508.02 $81,179.20 $53,343.51
2027-01-01 1894 104 2 $27,714.66 1,388.94 925.96 $31.95 $1.38 $92.73 $1.58 $27,842.29 $14.70 5,555.81 $85,608.80 $57,766.51
2027-02-01 1998 109 2 $27,714.66 1,465.21 976.81 $33.70 $1.45 $97.82 $1.67 $27,849.30 $13.94 5,606.53 $90,309.60 $62,460.30
2027-03-01 2107 115 2 $27,714.66 1,545.14 1,030.09 $35.54 $1.53 $103.16 $1.76 $27,856.65 $13.22 5,659.69 $95,236.40 $67,379.75
2027-04-01 2222 122 2 $27,714.66 1,629.48 1,086.32 $37.48 $1.61 $108.79 $1.85 $27,864.40 $12.54 5,715.77 $100,434.40 $72,570.00
2027-05-01 2344 128 2 $27,714.66 1,718.94 1,145.96 $39.54 $1.70 $114.76 $1.96 $27,872.62 $11.89 5,775.26 $105,948.80 $78,076.18
2027-06-01 2472 135 2 $27,714.66 1,812.81 1,208.54 $41.69 $1.79 $121.03 $2.06 $27,881.24 $11.28 5,837.68 $111,734.40 $83,853.16
2027-07-01 2607 143 2 $27,714.66 1,911.81 1,274.54 $43.97 $1.89 $127.64 $2.18 $27,890.34 $10.70 5,903.52 $117,836.40 $89,946.06
2027-08-01 2750 151 2 $27,714.66 2,016.68 1,344.45 $46.38 $2.00 $134.64 $2.30 $27,899.98 $10.15 5,973.26 $124,300.00 $96,400.02
2027-09-01 2901 159 2 $27,714.66 2,127.41 1,418.27 $48.93 $2.11 $142.03 $2.42 $27,910.15 $9.62 6,046.89 $131,125.20 $103,215.05
2027-10-01 3060 168 2 $27,714.66 2,244.01 1,496.01 $51.61 $2.22 $149.82 $2.55 $27,920.87 $9.12 6,124.43 $138,312.00 $110,391.13
2027-11-01 3228 177 2 $27,714.66 2,367.21 1,578.14 $54.45 $2.34 $158.04 $2.69 $27,932.19 $8.65 6,206.36 $145,905.60 $117,973.41
2027-12-01 3405 187 2 $27,714.66 2,497.01 1,664.68 $57.43 $2.47 $166.71 $2.84 $27,944.11 $8.21 6,292.68 $153,906.00 $125,961.89
2028-01-01 3592 197 2 $27,714.66 2,634.15 1,756.10 $60.59 $2.61 $175.86 $3.00 $27,956.72 $7.78 6,383.87 $162,358.40 $134,401.68
2028-02-01 3789 208 2 $27,714.66 2,778.62 1,852.41 $63.91 $2.75 $185.51 $3.16 $27,969.99 $7.38 6,479.95 $171,262.80 $143,292.81
2028-03-01 3997 219 2 $27,714.66 2,931.15 1,954.10 $67.42 $2.90 $195.69 $3.34 $27,984.01 $7.00 6,581.38 $180,664.40 $152,680.39
2028-04-01 4216 231 2 $27,714.66 3,091.75 2,061.17 $71.11 $3.06 $206.42 $3.52 $27,998.77 $6.64 6,688.18 $190,563.20 $162,564.43
2028-05-01 4447 244 2 $27,714.66 3,261.15 2,174.10 $75.01 $3.23 $217.73 $3.71 $28,014.33 $6.30 6,800.83 $201,004.40 $172,990.07
2028-06-01 4691 258 2 $27,714.66 3,440.09 2,293.39 $79.12 $3.41 $229.67 $3.92 $28,030.77 $5.98 6,919.82 $212,033.20 $184,002.43
2028-07-01 4949 272 2 $27,714.66 3,629.29 2,419.52 $83.47 $3.59 $242.30 $4.13 $28,048.16 $5.67 7,045.64 $223,694.80 $195,646.64
2028-08-01 5221 287 2 $27,714.66 3,828.75 2,552.50 $88.06 $3.79 $255.62 $4.36 $28,066.49 $5.38 7,178.29 $235,989.20 $207,922.71
2028-09-01 5508 302 2 $27,714.66 4,039.22 2,692.81 $92.90 $4.00 $269.67 $4.60 $28,085.83 $5.10 7,318.25 $248,961.60 $220,875.77
2028-10-01 5810 319 2 $27,714.66 4,260.69 2,840.46 $98.00 $4.22 $284.46 $4.85 $28,106.18 $4.84 7,465.53 $262,612.00 $234,505.82
2028-11-01 6129 337 2 $27,714.66 4,494.62 2,996.42 $103.38 $4.45 $300.08 $5.12 $28,127.68 $4.59 7,621.09 $277,030.80 $248,903.12
2028-12-01 6466 355 2 $27,714.66 4,741.76 3,161.17 $109.06 $4.69 $316.58 $5.40 $28,150.39 $4.35 7,785.44 $292,263.20 $264,112.81
2029-01-01 6821 375 2 $27,714.66 5,002.09 3,334.73 $115.05 $4.95 $333.96 $5.69 $28,174.31 $4.13 7,958.56 $308,309.20 $280,134.89
2029-02-01 7196 395 2 $27,714.66 5,277.10 3,518.06 $121.37 $5.22 $352.32 $6.01 $28,199.58 $3.92 8,141.43 $325,259.20 $297,059.62
2029-03-01 7591 417 2 $27,714.66 5,566.76 3,711.18 $128.04 $5.51 $371.66 $6.34 $28,226.20 $3.72 8,334.06 $343,113.20 $314,887.00
2029-04-01 8008 440 2 $27,714.66 5,872.57 3,915.04 $135.07 $5.81 $392.07 $6.68 $28,254.30 $3.53 8,537.42 $361,961.60 $333,707.30
2029-05-01 8448 464 2 $27,714.66 6,195.23 4,130.16 $142.49 $6.13 $413.61 $7.05 $28,283.95 $3.35 8,752.00 $381,849.60 $353,565.65
2029-06-01 8912 490 2 $27,714.66 6,535.50 4,357.00 $150.32 $6.47 $436.33 $7.44 $28,315.22 $3.18 8,978.28 $402,822.40 $374,507.18
2029-07-01 9402 517 2 $27,714.66 6,894.84 4,596.56 $158.58 $6.83 $460.32 $7.85 $28,348.24 $3.02 9,217.23 $424,970.40 $396,622.16
2029-08-01 9919 545 2 $27,714.66 7,273.97 4,849.32 $167.30 $7.20 $485.63 $8.28 $28,383.08 $2.86 9,469.36 $448,338.80 $419,955.72
2029-09-01 10464 575 2 $27,714.66 7,673.64 5,115.76 $176.49 $7.60 $512.32 $8.74 $28,419.80 $2.72 9,735.14 $472,972.80 $444,553.00
2029-10-01 11039 607 2 $27,714.66 8,095.31 5,396.87 $186.19 $8.01 $540.47 $9.22 $28,458.55 $2.58 10,015.55 $498,962.80 $470,504.25
2029-11-01 11646 640 2 $27,714.66 8,540.45 5,693.63 $196.43 $8.46 $570.19 $9.72 $28,499.46 $2.45 10,311.56 $526,399.20 $497,899.74
2029-12-01 12286 675 2 $27,714.66 9,009.78 6,006.52 $207.23 $8.92 $601.52 $10.26 $28,542.58 $2.32 10,623.67 $555,327.20 $526,784.62
2030-01-01 12961 712 2 $27,714.66 9,504.79 6,336.52 $218.61 $9.41 $634.57 $10.82 $28,588.07 $2.21 10,952.85 $585,837.20 $557,249.13
2030-02-01 13673 752 2 $27,714.66 10,026.92 6,684.61 $230.62 $9.93 $669.43 $11.41 $28,636.05 $2.09 11,300.07 $618,019.60 $589,383.55
2030-03-01 14425 793 2 $27,714.66 10,578.39 7,052.26 $243.30 $10.47 $706.25 $12.04 $28,686.73 $1.99 11,666.80 $652,010.00 $623,323.27
2030-04-01 15218 836 2 $27,714.66 11,159.93 7,439.95 $256.68 $11.05 $745.07 $12.70 $28,740.16 $1.89 12,053.52 $687,853.60 $659,113.44
2030-05-01 16054 882 2 $27,714.66 11,773.00 7,848.67 $270.78 $11.66 $786.00 $13.40 $28,796.50 $1.79 12,461.21 $725,640.80 $696,844.30
2030-06-01 16936 931 2 $27,714.66 12,419.80 8,279.87 $285.66 $12.30 $829.19 $14.14 $28,855.94 $1.70 12,891.33 $765,507.20 $736,651.26
2030-07-01 17867 982 2 $27,714.66 13,102.54 8,735.03 $301.36 $12.97 $874.77 $14.92 $28,918.67 $1.62 13,345.35 $807,588.40 $778,669.73
2030-08-01 18849 1036 2 $27,714.66 13,822.68 9,215.12 $317.92 $13.68 $922.85 $15.73 $28,984.85 $1.54 13,824.25 $851,974.80 $822,989.95
2030-09-01 19885 1093 2 $27,714.66 14,582.41 9,721.61 $335.40 $14.44 $973.57 $16.60 $29,054.66 $1.46 14,329.47 $898,802.00 $869,747.34
2030-10-01 20978 1153 2 $27,714.66 15,383.95 10,255.97 $353.83 $15.23 $1,027.08 $17.51 $29,128.32 $1.39 14,862.49 $948,205.60 $919,077.28
2030-11-01 22131 1217 2 $27,714.66 16,229.49 10,819.66 $373.28 $16.07 $1,083.53 $18.47 $29,206.01 $1.32 15,424.78 $1,000,321.20 $971,115.19
2030-12-01 23348 1284 2 $27,714.66 17,121.96 11,414.64 $393.81 $16.95 $1,143.12 $19.49 $29,288.02 $1.25 16,018.27 $1,055,329.60 $1,026,041.58
2031-01-01 24632 1354 2 $27,714.66 18,063.57 12,042.38 $415.46 $17.88 $1,205.98 $20.56 $29,374.55 $1.19 16,644.44 $1,113,366.40 $1,083,991.85
2031-02-01 25986 1429 2 $27,714.66 19,056.51 12,704.34 $438.30 $18.87 $1,272.27 $21.69 $29,465.79 $1.13 17,304.74 $1,174,567.20 $1,145,101.41
2031-03-01 27415 1507 2 $27,714.66 20,104.44 13,402.96 $462.40 $19.90 $1,342.24 $22.89 $29,562.09 $1.08 18,001.62 $1,239,158.00 $1,209,595.91
2031-04-01 28922 1590 2 $27,714.66 21,209.58 14,139.72 $487.82 $21.00 $1,416.02 $24.14 $29,663.64 $1.03 18,736.54 $1,307,274.40 $1,277,610.76
2031-05-01 30512 1678 2 $27,714.66 22,375.59 14,917.06 $514.64 $22.15 $1,493.87 $25.47 $29,770.79 $0.98 19,511.93 $1,379,142.40 $1,349,371.61
2031-06-01 32190 1770 2 $27,714.66 23,606.13 15,737.42 $542.94 $23.37 $1,576.02 $26.87 $29,883.87 $0.93 20,330.24 $1,454,988.00 $1,425,104.13
2031-07-01 33960 1867 2 $27,714.66 24,904.14 16,602.76 $572.80 $24.66 $1,662.68 $28.35 $30,003.14 $0.88 21,193.42 $1,534,992.00 $1,504,988.86
2031-08-01 35827 1970 3 $41,571.99 26,273.28 17,515.52 $604.29 $26.01 $1,754.09 $29.91 $43,986.28 $1.23 24,419.98 $1,619,380.40 $1,575,394.12
2031-09-01 37797 2078 3 $41,571.99 27,717.95 18,478.64 $637.51 $27.44 $1,850.54 $31.55 $44,119.04 $1.17 25,380.69 $1,708,424.40 $1,664,305.36
2031-10-01 39875 2193 3 $41,571.99 29,241.83 19,494.55 $672.56 $28.95 $1,952.28 $33.29 $44,259.07 $1.11 26,394.07 $1,802,350.00 $1,758,090.93
2031-11-01 42068 2313 3 $41,571.99 30,850.04 20,566.69 $709.55 $30.54 $2,059.65 $35.12 $44,406.85 $1.06 27,463.52 $1,901,473.60 $1,857,066.75
2031-12-01 44381 2440 3 $41,571.99 32,546.25 21,697.50 $748.56 $32.22 $2,172.89 $37.05 $44,562.72 $1.00 28,591.50 $2,006,021.20 $1,961,458.48
2032-01-01 46821 2575 3 $41,571.99 34,335.59 22,890.39 $789.72 $33.99 $2,292.36 $39.09 $44,727.14 $0.96 29,781.42 $2,116,309.20 $2,071,582.06
2032-02-01 49396 2716 3 $41,571.99 36,223.93 24,149.29 $833.15 $35.86 $2,418.43 $41.23 $44,900.67 $0.91 31,037.17 $2,232,699.20 $2,187,798.53
2032-03-01 52112 2866 4 $55,429.32 38,215.68 25,477.12 $878.96 $37.83 $2,551.40 $43.50 $58,941.02 $1.13 34,677.76 $2,355,462.40 $2,296,521.38
2032-04-01 54978 3023 4 $55,429.32 40,317.42 26,878.28 $927.30 $39.91 $2,691.72 $45.89 $59,134.15 $1.08 36,075.42 $2,485,005.60 $2,425,871.45
2032-05-01 58001 3190 4 $55,429.32 42,534.30 28,356.20 $978.29 $42.11 $2,839.73 $48.42 $59,337.87 $1.02 37,549.64 $2,621,645.20 $2,562,307.33
2032-06-01 61191 3365 4 $55,429.32 44,873.65 29,915.77 $1,032.09 $44.42 $2,995.91 $51.08 $59,552.83 $0.97 39,105.31 $2,765,833.20 $2,706,280.37
2032-07-01 64556 3550 4 $55,429.32 47,341.33 31,560.89 $1,088.85 $46.87 $3,160.66 $53.89 $59,779.59 $0.93 40,746.32 $2,917,931.20 $2,858,151.61
2032-08-01 68106 3745 4 $55,429.32 49,944.68 33,296.45 $1,148.73 $49.45 $3,334.47 $56.85 $60,018.82 $0.88 42,477.54 $3,078,391.20 $3,018,372.38
2032-09-01 71851 3951 5 $69,286.65 52,691.03 35,127.35 $1,211.89 $52.16 $3,517.82 $59.98 $74,128.51 $1.03 46,619.95 $3,247,665.20 $3,173,536.69
2032-10-01 75802 4169 5 $69,286.65 55,588.44 37,058.96 $1,278.53 $55.03 $3,711.27 $63.28 $74,394.76 $0.98 48,546.73 $3,426,250.40 $3,351,855.64
2032-11-01 79971 4398 5 $69,286.65 58,645.73 39,097.15 $1,348.85 $58.06 $3,915.38 $66.76 $74,675.70 $0.93 50,579.82 $3,614,689.20 $3,540,013.50
2032-12-01 84369 4640 5 $69,286.65 61,870.94 41,247.30 $1,423.03 $61.25 $4,130.71 $70.43 $74,972.07 $0.89 52,724.59 $3,813,478.80 $3,738,506.73
2033-01-01 89009 4895 6 $83,143.98 65,273.63 43,515.75 $1,501.29 $64.62 $4,357.88 $74.30 $89,142.08 $1.00 57,303.46 $4,023,206.80 $3,934,064.72
2033-02-01 93904 5164 6 $83,143.98 68,863.32 45,908.88 $1,583.86 $68.17 $4,597.54 $78.39 $89,471.94 $0.95 59,690.60 $4,244,460.80 $4,154,988.86
2033-03-01 99068 5448 6 $83,143.98 72,650.27 48,433.51 $1,670.96 $71.92 $4,850.37 $82.70 $89,819.93 $0.91 62,208.93 $4,477,873.60 $4,388,053.67
2033-04-01 104516 5748 7 $97,001.31 76,645.49 51,096.99 $1,762.85 $75.88 $5,117.10 $87.25 $104,044.39 $1.00 67,181.83 $4,724,123.20 $4,620,078.81
2033-05-01 110264 6064 7 $97,001.31 80,860.72 53,907.14 $1,859.80 $80.05 $5,398.53 $92.05 $104,431.73 $0.95 69,984.96 $4,983,932.80 $4,879,501.07
2033-06-01 116328 6398 7 $97,001.31 85,307.67 56,871.78 $1,962.08 $84.45 $5,695.42 $97.11 $104,840.37 $0.90 72,942.18 $5,258,025.60 $5,153,185.23
2033-07-01 122726 6749 8 $110,858.64 89,999.57 59,999.71 $2,069.99 $89.10 $6,008.66 $102.45 $119,128.84 $0.97 78,378.38 $5,547,215.20 $5,428,086.36
2033-08-01 129475 7121 8 $110,858.64 94,948.86 63,299.24 $2,183.82 $94.00 $6,339.10 $108.08 $119,583.64 $0.92 81,669.66 $5,852,270.00 $5,732,686.36
2033-09-01 136596 7512 9 $124,715.97 100,170.96 66,780.64 $2,303.93 $99.17 $6,687.74 $114.03 $133,920.84 $0.98 87,458.43 $6,174,139.20 $6,040,218.36
2033-10-01 144108 7925 9 $124,715.97 105,679.79 70,453.19 $2,430.64 $104.62 $7,055.53 $120.30 $134,427.05 $0.93 91,121.80 $6,513,681.60 $6,379,254.55
2033-11-01 152033 8361 9 $124,715.97 111,491.49 74,327.66 $2,564.30 $110.38 $7,443.54 $126.91 $134,961.10 $0.89 94,986.58 $6,871,891.60 $6,736,930.50
2033-12-01 160394 8821 10 $138,573.30 117,622.92 78,415.28 $2,705.33 $116.45 $7,852.89 $133.89 $149,381.86 $0.93 101,380.07 $7,249,808.80 $7,100,426.94
2034-01-01 169215 9306 10 $138,573.30 124,091.69 82,727.79 $2,854.11 $122.85 $8,284.77 $141.26 $149,976.28 $0.89 105,681.80 $7,648,518.00 $7,498,541.72
2034-02-01 178521 9818 11 $152,430.63 130,916.13 87,277.42 $3,011.07 $129.61 $8,740.39 $149.03 $164,460.72 $0.92 112,536.14 $8,069,149.20 $7,904,688.48
2034-03-01 188339 10358 12 $166,287.96 138,116.03 92,077.36 $3,176.67 $136.73 $9,221.08 $157.22 $178,979.66 $0.95 119,640.16 $8,512,922.80 $8,333,943.14
2034-04-01 198697 10928 12 $166,287.96 145,711.94 97,141.29 $3,351.37 $144.25 $9,728.21 $165.87 $179,677.66 $0.90 124,691.44 $8,981,104.40 $8,801,426.74
2034-05-01 209625 11529 13 $180,145.29 153,725.85 102,483.90 $3,535.69 $152.19 $10,263.24 $174.99 $194,271.40 $0.93 132,336.77 $9,475,050.00 $9,280,778.60
2034-06-01 221154 12163 13 $180,145.29 162,180.50 108,120.33 $3,730.15 $160.56 $10,827.70 $184.62 $195,048.32 $0.88 137,959.11 $9,996,160.80 $9,801,112.48
2034-07-01 233317 12832 14 $194,002.62 171,100.08 114,066.72 $3,935.30 $169.39 $11,423.20 $194.77 $209,725.28 $0.90 146,206.72 $10,545,928.40 $10,336,203.12
2034-08-01 246149 13538 15 $207,859.95 180,510.27 120,340.18 $4,151.74 $178.71 $12,051.46 $205.48 $224,447.33 $0.91 154,780.57 $11,125,934.80 $10,901,487.47
2034-09-01 259687 14282 16 $221,717.28 190,438.19 126,958.79 $4,380.08 $188.53 $12,714.28 $216.78 $239,216.95 $0.92 163,698.72 $11,737,852.40 $11,498,635.45
2034-10-01 273969 15068 17 $235,574.61 200,911.71 133,941.14 $4,620.97 $198.90 $13,413.52 $228.70 $254,036.71 $0.93 172,979.70 $12,383,398.80 $12,129,362.09
2034-11-01 289037 15897 17 $235,574.61 211,961.64 141,307.76 $4,875.12 $209.84 $14,151.25 $241.28 $255,052.10 $0.88 180,327.90 $13,064,472.40 $12,809,420.30
2034-12-01 304934 16771 18 $249,431.94 223,619.51 149,079.67 $5,143.25 $221.38 $14,929.57 $254.55 $269,980.69 $0.89 190,396.47 $13,783,016.80 $13,513,036.11
2035-01-01 321705 17693 19 $263,289.27 235,918.31 157,278.87 $5,426.12 $233.56 $15,750.68 $268.55 $284,968.18 $0.89 200,891.25 $14,541,066.00 $14,256,097.82
2035-02-01 339398 18666 20 $277,146.60 248,893.25 165,928.83 $5,724.54 $246.40 $16,616.93 $283.32 $300,017.80 $0.88 211,835.67 $15,340,789.60 $15,040,771.80
2035-03-01 358064 19693 22 $304,861.26 262,581.72 175,054.48 $6,039.38 $259.96 $17,530.81 $298.91 $328,990.31 $0.92 225,570.67 $16,184,492.80 $15,855,502.49
2035-04-01 377757 20776 23 $318,718.59 277,023.34 184,682.22 $6,371.54 $274.25 $18,494.98 $315.34 $344,174.71 $0.91 237,490.43 $17,074,616.40 $16,730,441.69
2035-05-01 398533 21919 24 $332,575.92 292,259.15 194,839.44 $6,721.96 $289.34 $19,512.18 $332.69 $359,432.08 $0.90 249,938.33 $18,013,691.60 $17,654,259.52
2035-06-01 420452 23124 25 $346,433.25 308,333.18 205,555.45 $7,091.66 $305.25 $20,585.33 $350.99 $374,766.48 $0.89 262,943.64 $19,004,430.40 $18,629,663.92
2035-07-01 443576 24396 27 $374,147.91 325,290.87 216,860.58 $7,481.69 $322.04 $21,717.48 $370.29 $404,039.41 $0.91 278,852.67 $20,049,635.20 $19,645,595.79
2035-08-01 467972 25738 28 $388,005.24 343,181.37 228,787.58 $7,893.17 $339.75 $22,911.91 $390.65 $419,540.73 $0.90 293,065.94 $21,152,334.40 $20,732,793.67
2035-09-01 493710 27154 29 $401,862.57 362,056.01 241,370.67 $8,327.29 $358.44 $24,172.04 $412.14 $435,132.48 $0.88 307,933.65 $22,315,692.00 $21,880,559.52
2035-10-01 520864 28647 31 $429,577.23 381,969.05 254,646.04 $8,785.29 $378.15 $25,501.50 $434.81 $464,676.98 $0.89 325,807.99 $23,543,052.80 $23,078,375.82
2035-11-01 549511 30223 33 $457,291.89 402,976.97 268,651.31 $9,268.47 $398.95 $26,904.06 $458.72 $494,322.09 $0.90 344,410.42 $24,837,897.20 $24,343,575.11
2035-12-01 579734 31885 35 $485,006.55 425,140.63 283,427.08 $9,778.23 $420.89 $28,383.78 $483.95 $524,073.40 $0.90 363,781.42 $26,203,976.80 $25,679,903.40
2036-01-01 611619 33639 36 $498,863.88 448,523.09 299,015.39 $10,316.03 $444.04 $29,944.87 $510.57 $540,079.38 $0.88 381,646.84 $27,645,178.80 $27,105,099.42
2036-02-01 645258 35489 38 $526,578.54 473,191.83 315,461.22 $10,883.41 $468.46 $31,591.83 $538.65 $570,060.89 $0.88 402,683.72 $29,165,661.60 $28,595,600.71
2036-03-01 680747 37441 40 $554,293.20 499,217.24 332,811.49 $11,482.00 $494.23 $33,329.37 $568.28 $600,167.07 $0.88 424,622.78 $30,769,764.40 $30,169,597.33
2036-04-01 718188 39500 43 $595,865.19 526,674.12 351,116.08 $12,113.50 $521.41 $35,162.48 $599.53 $644,262.12 $0.90 449,829.86 $32,462,097.60 $31,817,835.48
2036-05-01 757688 41672 45 $623,579.85 555,640.95 370,427.30 $12,779.74 $550.08 $37,096.40 $632.50 $674,638.59 $0.89 473,724.97 $34,247,497.60 $33,572,859.01
2036-06-01 799360 43964 47 $651,294.51 586,200.59 390,800.39 $13,482.61 $580.34 $39,136.67 $667.29 $705,161.42 $0.88 498,679.29 $36,131,072.00 $35,425,910.58
2036-07-01 843324 46382 50 $692,866.50 618,441.03 412,294.02 $14,224.14 $612.26 $41,289.14 $703.99 $749,696.04 $0.89 527,067.44 $38,118,244.80 $37,368,548.76
2036-08-01 889706 48933 53 $734,438.49 652,454.69 434,969.79 $15,006.46 $645.93 $43,560.01 $742.71 $794,393.59 $0.89 556,634.77 $40,214,711.20 $39,420,317.61
2036-09-01 938639 51625 56 $776,010.48 688,339.09 458,892.72 $15,831.80 $681.46 $45,955.77 $783.56 $839,263.06 $0.89 587,446.14 $42,426,482.80 $41,587,219.74
2036-10-01 990264 54464 59 $817,582.47 726,197.63 484,131.75 $16,702.55 $718.94 $48,483.33 $826.66 $884,313.93 $0.89 619,570.32 $44,759,932.80 $43,875,618.87
2036-11-01 1044728 57460 62 $859,154.46 766,138.12 510,758.75 $17,621.18 $758.48 $51,149.88 $872.12 $929,556.12 $0.89 653,078.99 $47,221,705.60 $46,292,149.48
2036-12-01 1102188 60620 65 $900,726.45 808,275.68 538,850.46 $18,590.34 $800.19 $53,963.12 $920.09 $975,000.20 $0.88 688,048.73 $49,818,897.60 $48,843,897.40
2037-01-01 1162808 63954 69 $956,155.77 852,730.60 568,487.07 $19,612.80 $844.20 $56,931.08 $970.69 $1,034,514.55 $0.89 726,875.57 $52,558,921.60 $51,524,407.05
2037-02-01 1226762 67471 73 $1,011,585.09 899,630.46 599,753.64 $20,691.50 $890.63 $60,062.27 $1,024.08 $1,094,253.57 $0.89 767,328.31 $55,449,642.40 $54,355,388.83
2037-03-01 1294233 71182 76 $1,053,157.08 949,109.47 632,739.64 $21,829.52 $939.62 $63,365.65 $1,080.40 $1,140,372.27 $0.88 807,180.10 $58,499,331.60 $57,358,959.33
2037-04-01 1365415 75097 81 $1,122,443.73 1,001,309.89 667,539.93 $23,030.13 $991.30 $66,850.72 $1,139.82 $1,214,455.70 $0.89 853,473.80 $61,716,758.00 $60,502,302.30
2037-05-01 1440512 79228 85 $1,177,873.05 1,056,381.33 704,254.22 $24,296.77 $1,045.82 $70,527.47 $1,202.51 $1,274,945.62 $0.89 899,360.64 $65,111,142.40 $63,836,196.78
2037-06-01 1519740 83585 90 $1,247,159.70 1,114,482.18 742,988.12 $25,633.09 $1,103.34 $74,406.47 $1,268.65 $1,349,571.25 $0.89 949,578.12 $68,692,248.00 $67,342,676.75
2037-07-01 1603325 88182 95 $1,316,446.35 1,175,778.19 783,852.13 $27,042.90 $1,164.02 $78,498.79 $1,338.43 $1,424,490.49 $0.89 1,001,920.38 $72,470,290.00 $71,045,799.51
2037-08-01 1691507 93032 100 $1,385,733.00 1,240,445.35 826,963.57 $28,530.24 $1,228.04 $82,816.18 $1,412.04 $1,499,719.51 $0.89 1,056,504.46 $76,456,116.40 $74,956,396.89
2037-09-01 1784539 98149 105 $1,455,019.65 1,308,669.19 872,446.13 $30,099.39 $1,295.58 $87,371.03 $1,489.70 $1,575,275.36 $0.88 1,113,453.73 $80,661,162.80 $79,085,887.44
2037-10-01 1882688 103547 111 $1,538,163.63 1,380,645.53 920,430.35 $31,754.85 $1,366.84 $92,176.40 $1,571.64 $1,665,033.36 $0.88 1,175,214.49 $85,097,497.60 $83,432,464.24
2037-11-01 1986235 109242 117 $1,621,307.61 1,456,580.42 971,053.61 $33,501.35 $1,442.01 $97,246.07 $1,658.07 $1,755,155.11 $0.88 1,239,607.69 $89,777,822.00 $88,022,666.89
2037-12-01 2095477 115251 124 $1,718,308.92 1,536,691.66 1,024,461.11 $35,343.91 $1,521.32 $102,594.55 $1,749.27 $1,859,517.97 $0.89 1,309,094.25 $94,715,560.40 $92,856,042.43
2038-01-01 2210728 121590 130 $1,801,452.90 1,621,209.53 1,080,806.35 $37,287.82 $1,605.00 $108,237.24 $1,845.48 $1,950,428.44 $0.88 1,379,195.13 $99,924,905.60 $97,974,477.16
2038-02-01 2332318 128277 137 $1,898,454.21 1,710,376.02 1,140,250.68 $39,338.65 $1,693.27 $114,190.29 $1,946.98 $2,055,623.40 $0.88 1,454,703.43 $105,420,773.60 $103,365,150.20
2038-03-01 2460595 135332 145 $2,009,312.85 1,804,446.35 1,202,964.23 $41,502.27 $1,786.40 $120,470.73 $2,054.06 $2,175,126.31 $0.88 1,535,788.85 $111,218,894.00 $109,043,767.69
2038-04-01 2595927 142775 153 $2,120,171.49 1,903,690.36 1,269,126.91 $43,784.88 $1,884.65 $127,096.59 $2,167.03 $2,295,104.64 $0.88 1,620,314.79 $117,335,900.40 $115,040,795.76
2038-05-01 2738702 150628 161 $2,231,030.13 2,008,392.61 1,338,928.41 $46,193.03 $1,988.31 $134,086.85 $2,286.22 $2,415,584.54 $0.88 1,708,470.45 $123,789,330.40 $121,373,745.86
2038-06-01 2889330 158913 170 $2,355,746.10 2,118,853.76 1,412,569.17 $48,733.64 $2,097.67 $141,461.60 $2,411.96 $2,550,450.96 $0.88 1,802,771.86 $130,597,716.00 $128,047,265.04
2038-07-01 3048243 167653 179 $2,480,462.07 2,235,390.60 1,490,260.40 $51,413.98 $2,213.04 $149,241.98 $2,544.62 $2,685,875.69 $0.88 1,901,113.61 $137,780,583.60 $135,094,707.91
2038-08-01 3215896 176874 189 $2,619,035.37 2,358,336.82 1,572,224.55 $54,241.75 $2,334.75 $157,450.27 $2,684.57 $2,835,746.71 $0.88 2,006,033.67 $145,358,499.20 $142,522,752.49
2038-09-01 3392770 186602 200 $2,771,466.00 2,488,045.14 1,658,696.76 $57,225.04 $2,463.16 $166,110.02 $2,832.23 $3,000,096.45 $0.88 2,117,766.62 $153,353,204.00 $150,353,107.55
2038-10-01 3579372 -53690 211 $2,923,896.63 2,624,887.36 1,749,924.91 $60,372.41 $2,598.64 $175,246.05 $2,988.00 $3,165,101.73 $0.88 2,234,243.61 $161,787,614.40 $158,622,512.67
2038-11-01 3525682 -52885 207 $2,868,467.31 2,585,514.48 1,723,676.32 $59,466.83 $2,559.66 $172,617.39 $2,943.18 $3,106,054.37 $0.88 2,198,796.31 $159,360,826.40 $156,254,772.03
2038-12-01 3472797 191003 204 $2,826,895.32 2,546,731.93 1,697,821.29 $58,574.83 $2,521.26 $170,028.14 $2,899.03 $3,060,918.59 $0.88 2,166,057.67 $156,970,424.40 $153,909,505.81
2039-01-01 3663800 -54957 216 $2,993,183.28 2,686,801.57 1,791,201.05 $61,796.44 $2,659.93 $179,379.65 $3,058.48 $3,240,077.77 $0.88 2,286,996.98 $165,603,760.00 $162,363,682.23
2039-02-01 3608843 -54132 212 $2,937,753.96 2,646,499.55 1,764,333.03 $60,869.49 $2,620.03 $176,688.95 $3,012.60 $3,180,945.04 $0.88 2,250,931.80 $163,119,703.60 $159,938,758.56
2039-03-01 3554711 -53320 209 $2,896,181.97 2,606,802.53 1,737,868.35 $59,956.46 $2,580.73 $174,038.65 $2,967.41 $3,135,725.22 $0.88 2,217,585.03 $160,672,937.20 $157,537,211.98
2039-04-01 3501391 -52520 206 $2,854,609.98 2,567,700.98 1,711,800.65 $59,057.12 $2,542.02 $171,428.10 $2,922.90 $3,090,560.13 $0.88 2,184,634.25 $158,262,873.20 $155,172,313.07
2039-05-01 3448871 189687 203 $2,813,037.99 2,529,186.10 1,686,124.07 $58,171.28 $2,503.89 $168,856.72 $2,879.06 $3,045,448.95 $0.88 2,152,073.61 $155,888,969.20 $152,843,520.25
2039-06-01 3638558 -54578 214 $2,965,468.62 2,668,290.67 1,778,860.45 $61,370.69 $2,641.61 $178,143.80 $3,037.40 $3,210,662.12 $0.88 2,270,055.06 $164,462,821.60 $161,252,159.48
2039-07-01 3583980 -53759 211 $2,923,896.63 2,628,266.58 1,752,177.72 $60,450.13 $2,601.98 $175,471.66 $2,991.84 $3,165,412.25 $0.88 2,236,490.79 $161,995,896.00 $158,830,483.75
2039-08-01 3530221 -52953 208 $2,882,324.64 2,588,843.10 1,725,895.40 $59,543.39 $2,562.95 $172,839.62 $2,946.97 $3,120,217.57 $0.88 2,203,325.92 $159,565,989.20 $156,445,771.63
2039-09-01 3477268 191249 205 $2,840,752.65 2,550,010.68 1,700,007.12 $58,650.25 $2,524.51 $170,247.04 $2,902.76 $3,075,077.21 $0.88 2,170,554.12 $157,172,513.60 $154,097,436.39
2039-10-01 3668517 -55027 216 $2,993,183.28 2,690,260.73 1,793,507.15 $61,876.00 $2,663.36 $179,610.59 $3,062.41 $3,240,395.64 $0.88 2,289,297.31 $165,816,968.40 $162,576,572.76
2039-11-01 3613490 -54202 213 $2,951,611.29 2,649,907.37 1,766,604.91 $60,947.87 $2,623.41 $176,916.47 $3,016.48 $3,195,115.52 $0.88 2,255,514.08 $163,329,748.00 $160,134,632.48
2039-12-01 3559288 -53389 209 $2,896,181.97 2,610,159.02 1,740,106.01 $60,033.66 $2,584.06 $174,262.74 $2,971.23 $3,136,033.66 $0.88 2,219,817.09 $160,879,817.60 $157,743,783.94
2040-01-01 3505899 -52588 206 $2,854,609.98 2,571,006.87 1,714,004.58 $59,133.16 $2,545.30 $171,648.82 $2,926.66 $3,090,863.91 $0.88 2,186,832.66 $158,466,634.80 $155,375,770.89
2040-02-01 3453311 189932 203 $2,813,037.99 2,532,442.12 1,688,294.75 $58,246.17 $2,507.12 $169,074.11 $2,882.76 $3,045,748.15 $0.88 2,154,238.86 $156,089,657.20 $153,043,909.05
2040-03-01 3643243 -54648 214 $2,965,468.62 2,671,726.36 1,781,150.91 $61,449.71 $2,645.01 $178,373.18 $3,041.32 $3,210,977.83 $0.88 2,272,339.79 $164,674,583.60 $161,463,605.77
2040-04-01 3588595 -53828 211 $2,923,896.63 2,631,650.94 1,754,433.96 $60,527.97 $2,605.33 $175,697.61 $2,995.70 $3,165,723.24 $0.88 2,238,741.39 $162,204,494.00 $159,038,770.76
2040-05-01 3534767 -53021 208 $2,882,324.64 2,592,176.85 1,728,117.90 $59,620.07 $2,566.26 $173,062.19 $2,950.76 $3,120,523.92 $0.88 2,205,542.87 $159,771,468.40 $156,650,944.48
2040-06-01 3481746 191496 205 $2,840,752.65 2,553,294.57 1,702,196.38 $58,725.78 $2,527.76 $170,466.28 $2,906.50 $3,075,378.97 $0.88 2,172,737.90 $157,374,919.20 $154,299,540.23
2040-07-01 3673242 -55098 216 $2,993,183.28 2,693,725.75 1,795,817.16 $61,955.69 $2,666.79 $179,841.93 $3,066.36 $3,240,714.05 $0.88 2,291,601.55 $166,030,538.40 $162,789,824.35
2040-08-01 3618144 -54272 213 $2,951,611.29 2,653,320.32 1,768,880.21 $61,026.37 $2,626.79 $177,144.33 $3,020.36 $3,195,429.14 $0.88 2,257,783.69 $163,540,108.80 $160,344,679.66
2040-09-01 3563872 -53458 210 $2,910,039.30 2,613,520.63 1,742,347.09 $60,110.97 $2,587.39 $174,487.17 $2,975.06 $3,150,199.89 $0.88 2,224,368.65 $161,087,014.40 $157,936,814.51
2040-10-01 3510414 -52656 207 $2,868,467.31 2,574,317.88 1,716,211.92 $59,209.31 $2,548.57 $171,869.87 $2,930.43 $3,105,025.50 $0.88 2,191,350.57 $158,670,712.80 $155,565,687.30
2040-11-01 3457758 190176 203 $2,813,037.99 2,535,703.27 1,690,468.85 $58,321.18 $2,510.35 $169,291.83 $2,886.48 $3,046,047.82 $0.88 2,156,407.52 $156,290,661.60 $153,244,613.78
2040-12-01 3647934 -54719 215 $2,979,325.95 2,675,166.44 1,783,444.30 $61,528.83 $2,648.41 $178,602.85 $3,045.23 $3,225,151.27 $0.88 2,276,943.53 $164,886,616.80 $161,661,465.53
Logistic Growth Model
The coefficients and values used in the multiple equations are listed below: