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 5% intrinsic growth rate (r), a 1.3% 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 37 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 1037 38 2 $27,714.66 760.47 506.98 $17.49 $0.75 $50.77 $0.87 $27,784.54 $26.79 5,137.88 $46,872.40 $19,087.86
2026-03-01 1075 39 2 $27,714.66 788.34 525.56 $18.13 $0.78 $52.63 $0.90 $27,787.10 $25.85 5,156.41 $48,590.00 $20,802.90
2026-04-01 1114 41 2 $27,714.66 816.94 544.63 $18.79 $0.81 $54.54 $0.93 $27,789.73 $24.95 5,175.43 $50,352.80 $22,563.07
2026-05-01 1155 42 2 $27,714.66 847.00 564.67 $19.48 $0.84 $56.55 $0.96 $27,792.49 $24.06 5,195.42 $52,206.00 $24,413.51
2026-06-01 1197 44 2 $27,714.66 877.80 585.20 $20.19 $0.87 $58.61 $1.00 $27,795.32 $23.22 5,215.91 $54,104.40 $26,309.08
2026-07-01 1241 45 2 $27,714.66 910.07 606.71 $20.93 $0.90 $60.76 $1.04 $27,798.29 $22.40 5,237.36 $56,093.20 $28,294.91
2026-08-01 1286 47 2 $27,714.66 943.07 628.71 $21.69 $0.93 $62.96 $1.07 $27,801.32 $21.62 5,259.31 $58,127.20 $30,325.88
2026-09-01 1333 49 2 $27,714.66 977.54 651.69 $22.48 $0.97 $65.26 $1.11 $27,804.49 $20.86 5,282.23 $60,251.60 $32,447.11
2026-10-01 1382 51 2 $27,714.66 1,013.47 675.65 $23.31 $1.00 $67.66 $1.15 $27,807.79 $20.12 5,306.13 $62,466.40 $34,658.61
2026-11-01 1433 53 2 $27,714.66 1,050.87 700.58 $24.17 $1.04 $70.16 $1.20 $27,811.23 $19.41 5,331.00 $64,771.60 $36,960.37
2026-12-01 1486 54 2 $27,714.66 1,089.74 726.49 $25.06 $1.08 $72.75 $1.24 $27,814.80 $18.72 5,356.84 $67,167.20 $39,352.40
2027-01-01 1540 56 2 $27,714.66 1,129.34 752.89 $25.97 $1.12 $75.40 $1.29 $27,818.44 $18.06 5,383.18 $69,608.00 $41,789.56
2027-02-01 1596 59 2 $27,714.66 1,170.41 780.27 $26.92 $1.16 $78.14 $1.33 $27,822.21 $17.43 5,410.49 $72,139.20 $44,316.99
2027-03-01 1655 61 2 $27,714.66 1,213.67 809.12 $27.91 $1.20 $81.03 $1.38 $27,826.19 $16.81 5,439.26 $74,806.00 $46,979.81
2027-04-01 1716 63 2 $27,714.66 1,258.41 838.94 $28.94 $1.25 $84.02 $1.43 $27,830.30 $16.22 5,469.01 $77,563.20 $49,732.90
2027-05-01 1779 65 2 $27,714.66 1,304.61 869.74 $30.01 $1.29 $87.10 $1.49 $27,834.54 $15.65 5,499.73 $80,410.80 $52,576.26
2027-06-01 1844 68 2 $27,714.66 1,352.27 901.52 $31.10 $1.34 $90.28 $1.54 $27,838.92 $15.10 5,531.43 $83,348.80 $55,509.88
2027-07-01 1912 70 2 $27,714.66 1,402.14 934.76 $32.25 $1.39 $93.61 $1.60 $27,843.50 $14.56 5,564.59 $86,422.40 $58,578.90
2027-08-01 1982 73 2 $27,714.66 1,453.47 968.98 $33.43 $1.44 $97.04 $1.65 $27,848.22 $14.05 5,598.73 $89,586.40 $61,738.18
2027-09-01 2055 76 2 $27,714.66 1,507.01 1,004.67 $34.66 $1.49 $100.61 $1.72 $27,853.14 $13.55 5,634.33 $92,886.00 $65,032.86
2027-10-01 2131 78 2 $27,714.66 1,562.74 1,041.83 $35.94 $1.55 $104.33 $1.78 $27,858.26 $13.07 5,671.39 $96,321.20 $68,462.94
2027-11-01 2209 81 2 $27,714.66 1,619.94 1,079.96 $37.26 $1.60 $108.15 $1.84 $27,863.52 $12.61 5,709.43 $99,846.80 $71,983.28
2027-12-01 2290 84 2 $27,714.66 1,679.34 1,119.56 $38.62 $1.66 $112.12 $1.91 $27,868.98 $12.17 5,748.93 $103,508.00 $75,639.02
2028-01-01 2374 87 2 $27,714.66 1,740.94 1,160.63 $40.04 $1.72 $116.23 $1.98 $27,874.64 $11.74 5,789.89 $107,304.80 $79,430.16
2028-02-01 2461 91 2 $27,714.66 1,804.74 1,203.16 $41.51 $1.79 $120.49 $2.05 $27,880.50 $11.33 5,832.32 $111,237.20 $83,356.70
2028-03-01 2552 94 2 $27,714.66 1,871.48 1,247.65 $43.04 $1.85 $124.95 $2.13 $27,886.63 $10.93 5,876.70 $115,350.40 $87,463.77
2028-04-01 2646 97 2 $27,714.66 1,940.41 1,293.61 $44.63 $1.92 $129.55 $2.21 $27,892.97 $10.54 5,922.54 $119,599.20 $91,706.23
2028-05-01 2743 101 2 $27,714.66 2,011.54 1,341.03 $46.27 $1.99 $134.30 $2.29 $27,899.50 $10.17 5,969.84 $123,983.60 $96,084.10
2028-06-01 2844 105 2 $27,714.66 2,085.61 1,390.41 $47.97 $2.06 $139.24 $2.37 $27,906.31 $9.81 6,019.10 $128,548.80 $100,642.49
2028-07-01 2949 109 2 $27,714.66 2,162.61 1,441.74 $49.74 $2.14 $144.38 $2.46 $27,913.39 $9.47 6,070.30 $133,294.80 $105,381.41
2028-08-01 3058 113 2 $27,714.66 2,242.55 1,495.03 $51.58 $2.22 $149.72 $2.55 $27,920.73 $9.13 6,123.46 $138,221.60 $110,300.87
2028-09-01 3171 117 2 $27,714.66 2,325.41 1,550.28 $53.48 $2.30 $155.25 $2.65 $27,928.35 $8.81 6,178.57 $143,329.20 $115,400.85
2028-10-01 3288 121 2 $27,714.66 2,411.21 1,607.48 $55.46 $2.39 $160.98 $2.74 $27,936.23 $8.50 6,235.62 $148,617.60 $120,681.37
2028-11-01 3409 126 2 $27,714.66 2,499.95 1,666.63 $57.50 $2.47 $166.90 $2.85 $27,944.38 $8.20 6,294.63 $154,086.80 $126,142.42
2028-12-01 3535 130 2 $27,714.66 2,592.35 1,728.23 $59.62 $2.57 $173.07 $2.95 $27,952.87 $7.91 6,356.08 $159,782.00 $131,829.13
2029-01-01 3665 135 2 $27,714.66 2,687.68 1,791.79 $61.82 $2.66 $179.44 $3.06 $27,961.64 $7.63 6,419.47 $165,658.00 $137,696.36
2029-02-01 3800 140 2 $27,714.66 2,786.68 1,857.79 $64.09 $2.76 $186.05 $3.17 $27,970.73 $7.36 6,485.31 $171,760.00 $143,789.27
2029-03-01 3940 145 2 $27,714.66 2,889.35 1,926.23 $66.46 $2.86 $192.90 $3.29 $27,980.17 $7.10 6,553.58 $178,088.00 $150,107.83
2029-04-01 4085 151 2 $27,714.66 2,995.68 1,997.12 $68.90 $2.97 $200.00 $3.41 $27,989.94 $6.85 6,624.30 $184,642.00 $156,652.06
2029-05-01 4236 156 2 $27,714.66 3,106.42 2,070.94 $71.45 $3.08 $207.39 $3.54 $28,000.11 $6.61 6,697.93 $191,467.20 $163,467.09
2029-06-01 4392 162 2 $27,714.66 3,220.82 2,147.21 $74.08 $3.19 $215.03 $3.67 $28,010.63 $6.38 6,774.01 $198,518.40 $170,507.77
2029-07-01 4554 168 2 $27,714.66 3,339.62 2,226.41 $76.81 $3.31 $222.96 $3.80 $28,021.54 $6.15 6,853.01 $205,840.80 $177,819.26
2029-08-01 4722 174 2 $27,714.66 3,462.82 2,308.55 $79.64 $3.43 $231.19 $3.94 $28,032.86 $5.94 6,934.94 $213,434.40 $185,401.54
2029-09-01 4896 181 2 $27,714.66 3,590.42 2,393.61 $82.58 $3.55 $239.71 $4.09 $28,044.59 $5.73 7,019.80 $221,299.20 $193,254.61
2029-10-01 5077 187 2 $27,714.66 3,723.15 2,482.10 $85.63 $3.69 $248.57 $4.24 $28,056.79 $5.53 7,108.06 $229,480.40 $201,423.61
2029-11-01 5264 194 2 $27,714.66 3,860.29 2,573.53 $88.79 $3.82 $257.73 $4.39 $28,069.39 $5.33 7,199.26 $237,932.80 $209,863.41
2029-12-01 5458 201 2 $27,714.66 4,002.56 2,668.37 $92.06 $3.96 $267.22 $4.56 $28,082.46 $5.15 7,293.87 $246,701.60 $218,619.14
2030-01-01 5659 209 2 $27,714.66 4,149.96 2,766.64 $95.45 $4.11 $277.06 $4.72 $28,096.01 $4.96 7,391.89 $255,786.80 $227,690.79
2030-02-01 5868 217 2 $27,714.66 4,303.22 2,868.82 $98.97 $4.26 $287.30 $4.90 $28,110.09 $4.79 7,493.81 $265,233.60 $237,123.51
2030-03-01 6085 225 2 $27,714.66 4,462.36 2,974.91 $102.63 $4.42 $297.92 $5.08 $28,124.71 $4.62 7,599.63 $275,042.00 $246,917.29
2030-04-01 6310 233 2 $27,714.66 4,627.36 3,084.91 $106.43 $4.58 $308.94 $5.27 $28,139.88 $4.46 7,709.36 $285,212.00 $257,072.12
2030-05-01 6543 242 2 $27,714.66 4,798.23 3,198.82 $110.36 $4.75 $320.35 $5.46 $28,155.58 $4.30 7,822.99 $295,743.60 $267,588.02
2030-06-01 6785 251 2 $27,714.66 4,975.69 3,317.13 $114.44 $4.93 $332.19 $5.66 $28,171.88 $4.15 7,941.00 $306,682.00 $278,510.12
2030-07-01 7036 260 2 $27,714.66 5,159.76 3,439.84 $118.67 $5.11 $344.48 $5.87 $28,188.80 $4.01 8,063.41 $318,027.20 $289,838.40
2030-08-01 7296 269 2 $27,714.66 5,350.43 3,566.95 $123.06 $5.30 $357.21 $6.09 $28,206.32 $3.87 8,190.20 $329,779.20 $301,572.88
2030-09-01 7565 279 2 $27,714.66 5,547.70 3,698.46 $127.60 $5.49 $370.38 $6.32 $28,224.45 $3.73 8,321.38 $341,938.00 $313,713.55
2030-10-01 7844 290 2 $27,714.66 5,752.30 3,834.87 $132.30 $5.69 $384.04 $6.55 $28,243.25 $3.60 8,457.44 $354,548.80 $326,305.55
2030-11-01 8134 300 2 $27,714.66 5,964.97 3,976.64 $137.19 $5.91 $398.24 $6.79 $28,262.79 $3.47 8,598.87 $367,656.80 $339,394.01
2030-12-01 8434 312 2 $27,714.66 6,184.97 4,123.31 $142.25 $6.12 $412.93 $7.04 $28,283.01 $3.35 8,745.17 $381,216.80 $352,933.79
2031-01-01 8746 323 2 $27,714.66 6,413.77 4,275.85 $147.52 $6.35 $428.20 $7.30 $28,304.03 $3.24 8,897.32 $395,319.20 $367,015.17
2031-02-01 9069 335 2 $27,714.66 6,650.64 4,433.76 $152.96 $6.58 $444.02 $7.57 $28,325.80 $3.12 9,054.84 $409,918.80 $381,593.00
2031-03-01 9404 347 2 $27,714.66 6,896.30 4,597.54 $158.62 $6.83 $460.42 $7.85 $28,348.37 $3.01 9,218.21 $425,060.80 $396,712.43
2031-04-01 9751 360 2 $27,714.66 7,150.77 4,767.18 $164.47 $7.08 $477.41 $8.14 $28,371.76 $2.91 9,387.43 $440,745.20 $412,373.44
2031-05-01 10111 374 2 $27,714.66 7,414.77 4,943.18 $170.54 $7.34 $495.03 $8.44 $28,396.02 $2.81 9,562.99 $457,017.20 $428,621.18
2031-06-01 10485 387 2 $27,714.66 7,689.04 5,126.03 $176.85 $7.61 $513.35 $8.75 $28,421.22 $2.71 9,745.38 $473,922.00 $445,500.78
2031-07-01 10872 402 2 $27,714.66 7,972.84 5,315.23 $183.38 $7.89 $532.29 $9.08 $28,447.30 $2.62 9,934.11 $491,414.40 $462,967.10
2031-08-01 11274 417 2 $27,714.66 8,267.65 5,511.76 $190.16 $8.18 $551.98 $9.41 $28,474.39 $2.53 10,130.15 $509,584.80 $481,110.41
2031-09-01 11691 432 2 $27,714.66 8,573.45 5,715.63 $197.19 $8.49 $572.39 $9.76 $28,502.49 $2.44 10,333.51 $528,433.20 $499,930.71
2031-10-01 12123 448 2 $27,714.66 8,890.25 5,926.83 $204.48 $8.80 $593.54 $10.12 $28,531.60 $2.35 10,544.18 $547,959.60 $519,428.00
2031-11-01 12571 465 2 $27,714.66 9,218.78 6,145.86 $212.03 $9.13 $615.48 $10.49 $28,561.79 $2.27 10,762.66 $568,209.20 $539,647.41
2031-12-01 13036 482 2 $27,714.66 9,559.79 6,373.19 $219.88 $9.46 $638.24 $10.88 $28,593.12 $2.19 10,989.42 $589,227.20 $560,634.08
2032-01-01 13518 500 2 $27,714.66 9,913.26 6,608.84 $228.00 $9.81 $661.84 $11.28 $28,625.60 $2.12 11,224.48 $611,013.60 $582,388.00
2032-02-01 14018 518 2 $27,714.66 10,279.92 6,853.28 $236.44 $10.18 $686.32 $11.70 $28,659.30 $2.04 11,468.32 $633,613.60 $604,954.30
2032-03-01 14536 537 2 $27,714.66 10,659.79 7,106.53 $245.18 $10.55 $711.68 $12.13 $28,694.21 $1.97 11,720.93 $657,027.20 $628,332.99
2032-04-01 15073 557 2 $27,714.66 11,053.59 7,369.06 $254.23 $10.94 $737.97 $12.58 $28,730.39 $1.91 11,982.81 $681,299.60 $652,569.21
2032-05-01 15630 578 2 $27,714.66 11,462.06 7,641.38 $263.63 $11.35 $765.24 $13.05 $28,767.93 $1.84 12,254.44 $706,476.00 $677,708.07
2032-06-01 16208 599 2 $27,714.66 11,885.93 7,923.96 $273.38 $11.77 $793.54 $13.53 $28,806.88 $1.78 12,536.31 $732,601.60 $703,794.72
2032-07-01 16807 621 2 $27,714.66 12,325.20 8,216.80 $283.48 $12.20 $822.87 $14.03 $28,847.24 $1.72 12,828.43 $759,676.40 $730,829.16
2032-08-01 17428 644 2 $27,714.66 12,780.60 8,520.40 $293.95 $12.65 $853.27 $14.55 $28,889.09 $1.66 13,131.27 $787,745.60 $758,856.51
2032-09-01 18072 668 2 $27,714.66 13,252.87 8,835.25 $304.82 $13.12 $884.81 $15.09 $28,932.49 $1.60 13,445.33 $816,854.40 $787,921.91
2032-10-01 18740 693 2 $27,714.66 13,742.74 9,161.83 $316.08 $13.61 $917.51 $15.64 $28,977.50 $1.55 13,771.09 $847,048.00 $818,070.50
2032-11-01 19433 719 2 $27,714.66 14,250.95 9,500.63 $327.77 $14.11 $951.44 $16.22 $29,024.20 $1.49 14,109.04 $878,371.60 $849,347.40
2032-12-01 20152 745 2 $27,714.66 14,778.22 9,852.14 $339.90 $14.63 $986.64 $16.82 $29,072.65 $1.44 14,459.68 $910,870.40 $881,797.75
2033-01-01 20897 773 2 $27,714.66 15,324.55 10,216.37 $352.46 $15.17 $1,023.12 $17.44 $29,122.86 $1.39 14,822.99 $944,544.40 $915,421.54
2033-02-01 21670 801 2 $27,714.66 15,891.42 10,594.28 $365.50 $15.73 $1,060.96 $18.09 $29,174.95 $1.35 15,199.96 $979,484.00 $950,309.05
2033-03-01 22471 831 2 $27,714.66 16,478.82 10,985.88 $379.01 $16.31 $1,100.18 $18.76 $29,228.93 $1.30 15,590.58 $1,015,689.20 $986,460.27
2033-04-01 23302 862 2 $27,714.66 17,088.23 11,392.15 $393.03 $16.92 $1,140.87 $19.45 $29,284.92 $1.26 15,995.84 $1,053,250.40 $1,023,965.48
2033-05-01 24164 894 2 $27,714.66 17,720.36 11,813.58 $407.57 $17.54 $1,183.07 $20.17 $29,343.01 $1.21 16,416.21 $1,092,212.80 $1,062,869.79
2033-06-01 25058 927 2 $27,714.66 18,375.97 12,250.65 $422.65 $18.19 $1,226.84 $20.92 $29,403.26 $1.17 16,852.19 $1,132,621.60 $1,103,218.34
2033-07-01 25985 961 2 $27,714.66 19,055.77 12,703.85 $438.28 $18.87 $1,272.23 $21.69 $29,465.73 $1.13 17,304.25 $1,174,522.00 $1,145,056.27
2033-08-01 26946 997 2 $27,714.66 19,760.51 13,173.67 $454.49 $19.56 $1,319.28 $22.49 $29,530.48 $1.10 17,772.90 $1,217,959.20 $1,188,428.72
2033-09-01 27943 1033 2 $27,714.66 20,491.65 13,661.10 $471.31 $20.29 $1,368.09 $23.33 $29,597.67 $1.06 18,259.11 $1,263,023.60 $1,233,425.93
2033-10-01 28976 1072 2 $27,714.66 21,249.18 14,166.12 $488.73 $21.04 $1,418.66 $24.19 $29,667.28 $1.02 18,762.87 $1,309,715.20 $1,280,047.92
2033-11-01 30048 1111 2 $27,714.66 22,035.32 14,690.21 $506.81 $21.81 $1,471.15 $25.08 $29,739.52 $0.99 19,285.66 $1,358,169.60 $1,328,430.08
2033-12-01 31159 1152 2 $27,714.66 22,850.06 15,233.37 $525.55 $22.62 $1,525.54 $26.01 $29,814.39 $0.96 19,827.46 $1,408,386.80 $1,378,572.41
2034-01-01 32311 1195 2 $27,714.66 23,694.86 15,796.58 $544.98 $23.46 $1,581.95 $26.97 $29,892.02 $0.93 20,389.25 $1,460,457.20 $1,430,565.18
2034-02-01 33506 1239 2 $27,714.66 24,571.20 16,380.80 $565.14 $24.33 $1,640.45 $27.97 $29,972.55 $0.89 20,972.02 $1,514,471.20 $1,484,498.65
2034-03-01 34745 1285 3 $41,571.99 25,479.81 16,986.54 $586.04 $25.23 $1,701.12 $29.00 $43,913.37 $1.26 23,892.32 $1,570,474.00 $1,526,560.63
2034-04-01 36030 1333 3 $41,571.99 26,422.15 17,614.76 $607.71 $26.16 $1,764.03 $30.08 $43,999.96 $1.22 24,518.98 $1,628,556.00 $1,584,556.04
2034-05-01 37363 1382 3 $41,571.99 27,399.69 18,266.46 $630.19 $27.13 $1,829.29 $31.19 $44,089.79 $1.18 25,169.04 $1,688,807.60 $1,644,717.81
2034-06-01 38745 1433 3 $41,571.99 28,413.16 18,942.11 $653.50 $28.13 $1,896.96 $32.34 $44,182.92 $1.14 25,843.00 $1,751,274.00 $1,707,091.08
2034-07-01 40178 1486 3 $41,571.99 29,464.03 19,642.69 $677.67 $29.17 $1,967.11 $33.54 $44,279.49 $1.10 26,541.83 $1,816,045.60 $1,771,766.11
2034-08-01 41664 1541 3 $41,571.99 30,553.77 20,369.18 $702.74 $30.25 $2,039.87 $34.78 $44,379.62 $1.07 27,266.51 $1,883,212.80 $1,838,833.18
2034-09-01 43205 1598 3 $41,571.99 31,683.84 21,122.56 $728.73 $31.37 $2,115.32 $36.07 $44,483.47 $1.03 28,018.00 $1,952,866.00 $1,908,382.53
2034-10-01 44803 1657 3 $41,571.99 32,855.72 21,903.81 $755.68 $32.53 $2,193.55 $37.40 $44,591.15 $1.00 28,797.30 $2,025,095.60 $1,980,504.45
2034-11-01 46460 1719 3 $41,571.99 34,070.86 22,713.90 $783.63 $33.73 $2,274.68 $38.78 $44,702.82 $0.96 29,605.37 $2,099,992.00 $2,055,289.18
2034-12-01 48179 1782 3 $41,571.99 35,331.46 23,554.31 $812.62 $34.98 $2,358.84 $40.22 $44,818.65 $0.93 30,443.67 $2,177,690.80 $2,132,872.15
2035-01-01 49961 1848 3 $41,571.99 36,638.27 24,425.51 $842.68 $36.27 $2,446.09 $41.71 $44,938.74 $0.90 31,312.70 $2,258,237.20 $2,213,298.46
2035-02-01 51809 1916 4 $55,429.32 37,993.48 25,328.98 $873.85 $37.61 $2,536.57 $43.25 $58,920.60 $1.14 34,529.99 $2,341,766.80 $2,282,846.20
2035-03-01 53725 1987 4 $55,429.32 39,398.55 26,265.70 $906.17 $39.00 $2,630.38 $44.85 $59,049.72 $1.10 35,464.37 $2,428,370.00 $2,369,320.28
2035-04-01 55712 2061 4 $55,429.32 40,855.69 27,237.13 $939.68 $40.45 $2,727.66 $46.51 $59,183.62 $1.06 36,433.37 $2,518,182.40 $2,458,998.78
2035-05-01 57773 2137 4 $55,429.32 42,367.10 28,244.73 $974.44 $41.94 $2,828.57 $48.23 $59,322.50 $1.03 37,438.45 $2,611,339.60 $2,552,017.10
2035-06-01 59910 2216 4 $55,429.32 43,934.24 29,289.50 $1,010.49 $43.49 $2,933.19 $50.01 $59,466.51 $0.99 38,480.60 $2,707,932.00 $2,648,465.49
2035-07-01 62126 2298 4 $55,429.32 45,559.32 30,372.88 $1,047.86 $45.10 $3,041.69 $51.86 $59,615.84 $0.96 39,561.28 $2,808,095.20 $2,748,479.36
2035-08-01 64424 2383 4 $55,429.32 47,244.53 31,496.35 $1,086.62 $46.77 $3,154.20 $53.78 $59,770.70 $0.93 40,681.94 $2,911,964.80 $2,852,194.10
2035-09-01 66807 2471 4 $55,429.32 48,992.07 32,661.38 $1,126.82 $48.50 $3,270.87 $55.77 $59,931.28 $0.90 41,844.06 $3,019,676.40 $2,959,745.12
2035-10-01 69278 2563 5 $69,286.65 50,804.15 33,869.43 $1,168.50 $50.30 $3,391.85 $57.83 $73,955.12 $1.07 45,365.17 $3,131,365.60 $3,057,410.48
2035-11-01 71841 2658 5 $69,286.65 52,683.69 35,122.46 $1,211.72 $52.16 $3,517.34 $59.97 $74,127.84 $1.03 46,615.07 $3,247,213.20 $3,173,085.36
2035-12-01 74499 2756 5 $69,286.65 54,632.90 36,421.94 $1,256.56 $54.09 $3,647.47 $62.19 $74,306.95 $1.00 47,911.30 $3,367,354.80 $3,293,047.85
2036-01-01 77255 2858 5 $69,286.65 56,653.98 37,769.32 $1,303.04 $56.09 $3,782.40 $64.49 $74,492.67 $0.96 49,255.31 $3,491,926.00 $3,417,433.33
2036-02-01 80113 2964 5 $69,286.65 58,749.86 39,166.57 $1,351.25 $58.16 $3,922.33 $66.88 $74,685.27 $0.93 50,649.07 $3,621,107.60 $3,546,422.33
2036-03-01 83077 3073 5 $69,286.65 60,923.47 40,615.65 $1,401.24 $60.31 $4,067.45 $69.35 $74,885.01 $0.90 52,094.52 $3,755,080.40 $3,680,195.39
2036-04-01 86150 3187 6 $83,143.98 63,177.02 42,118.01 $1,453.07 $62.55 $4,217.90 $71.92 $88,949.42 $1.03 55,909.21 $3,893,980.00 $3,805,030.58
2036-05-01 89337 3305 6 $83,143.98 65,514.16 43,676.11 $1,506.83 $64.86 $4,373.94 $74.58 $89,164.18 $1.00 57,463.42 $4,038,032.40 $3,948,868.22
2036-06-01 92642 3427 6 $83,143.98 67,937.84 45,291.90 $1,562.57 $67.26 $4,535.75 $77.34 $89,386.90 $0.96 59,075.16 $4,187,418.40 $4,098,031.50
2036-07-01 96069 3554 6 $83,143.98 70,450.99 46,967.33 $1,620.37 $69.75 $4,703.54 $80.20 $89,617.83 $0.93 60,746.41 $4,342,318.80 $4,252,700.97
2036-08-01 99623 3686 6 $83,143.98 73,057.27 48,704.85 $1,680.32 $72.33 $4,877.54 $83.16 $89,857.33 $0.90 62,479.58 $4,502,959.60 $4,413,102.27
2036-09-01 103309 3822 7 $97,001.31 75,760.35 50,506.90 $1,742.49 $75.00 $5,058.01 $86.24 $103,963.05 $1.01 66,593.22 $4,669,566.80 $4,565,603.75
2036-10-01 107131 3963 7 $97,001.31 78,563.17 52,375.45 $1,806.95 $77.78 $5,245.13 $89.43 $104,220.61 $0.97 68,457.09 $4,842,321.20 $4,738,100.59
2036-11-01 111094 4110 7 $97,001.31 81,469.39 54,312.92 $1,873.80 $80.65 $5,439.16 $92.74 $104,487.66 $0.94 70,389.72 $5,021,448.80 $4,916,961.14
2036-12-01 115204 4262 7 $97,001.31 84,483.40 56,322.27 $1,943.12 $83.64 $5,640.39 $96.17 $104,764.62 $0.91 72,394.04 $5,207,220.80 $5,102,456.18
2037-01-01 119466 4420 8 $110,858.64 87,608.89 58,405.92 $2,015.00 $86.73 $5,849.06 $99.73 $118,909.16 $1.00 76,788.57 $5,399,863.20 $5,280,954.04
2037-02-01 123886 4583 8 $110,858.64 90,850.24 60,566.82 $2,089.56 $89.94 $6,065.46 $103.42 $119,207.01 $0.96 78,944.07 $5,599,647.20 $5,480,440.19
2037-03-01 128469 4753 8 $110,858.64 94,211.12 62,807.42 $2,166.86 $93.27 $6,289.84 $107.24 $119,515.85 $0.93 81,179.06 $5,806,798.80 $5,687,282.95
2037-04-01 133222 4929 8 $110,858.64 97,696.68 65,131.12 $2,247.02 $96.72 $6,522.55 $111.21 $119,836.14 $0.90 83,496.95 $6,021,634.40 $5,901,798.26
2037-05-01 138151 5111 9 $124,715.97 101,311.30 67,540.86 $2,330.16 $100.30 $6,763.87 $115.33 $134,025.63 $0.97 88,216.76 $6,244,425.20 $6,110,399.57
2037-06-01 143262 5300 9 $124,715.97 105,059.38 70,039.59 $2,416.37 $104.01 $7,014.11 $119.59 $134,370.04 $0.94 90,709.24 $6,475,442.40 $6,341,072.36
2037-07-01 148562 5496 9 $124,715.97 108,946.07 72,630.71 $2,505.76 $107.86 $7,273.60 $124.02 $134,727.20 $0.91 93,293.88 $6,715,002.40 $6,580,275.20
2037-08-01 154058 5700 10 $138,573.30 112,976.49 75,317.66 $2,598.46 $111.85 $7,542.68 $128.60 $148,954.89 $0.97 98,290.20 $6,963,421.60 $6,814,466.71
2037-09-01 159758 5911 10 $138,573.30 117,156.52 78,104.34 $2,694.60 $115.98 $7,821.75 $133.36 $149,339.00 $0.93 101,069.91 $7,221,061.60 $7,071,722.60
2037-10-01 165669 6129 10 $138,573.30 121,491.27 80,994.18 $2,794.30 $120.28 $8,111.15 $138.30 $149,737.33 $0.90 103,952.53 $7,488,238.80 $7,338,501.47
2037-11-01 171798 6356 11 $152,430.63 125,985.90 83,990.60 $2,897.68 $124.73 $8,411.23 $143.41 $164,007.68 $0.95 109,257.54 $7,765,269.60 $7,601,261.92
2037-12-01 178154 6591 11 $152,430.63 130,646.99 87,097.99 $3,004.88 $129.34 $8,722.42 $148.72 $164,435.99 $0.92 112,357.16 $8,052,560.80 $7,888,124.81
2038-01-01 184745 6835 11 $152,430.63 135,480.42 90,320.28 $3,116.05 $134.13 $9,045.12 $154.22 $164,880.14 $0.89 115,571.39 $8,350,474.00 $8,185,593.86
2038-02-01 191580 7088 12 $166,287.96 140,492.78 93,661.85 $3,231.33 $139.09 $9,379.76 $159.93 $179,198.07 $0.94 121,220.69 $8,659,416.00 $8,480,217.93
2038-03-01 198668 7350 12 $166,287.96 145,690.68 97,127.12 $3,350.89 $144.23 $9,726.79 $165.84 $179,675.71 $0.90 124,677.29 $8,979,793.60 $8,800,117.89
2038-04-01 206018 7622 13 $180,145.29 151,080.70 100,720.47 $3,474.86 $149.57 $10,086.64 $171.98 $194,028.34 $0.94 130,577.75 $9,312,013.60 $9,117,985.26
2038-05-01 213640 7904 13 $180,145.29 156,670.20 104,446.80 $3,603.41 $155.10 $10,459.81 $178.34 $194,541.97 $0.91 134,294.76 $9,656,528.00 $9,461,986.03
2038-06-01 221544 8197 14 $194,002.62 162,466.50 108,311.00 $3,736.73 $160.84 $10,846.79 $184.94 $208,931.93 $0.94 140,465.39 $10,013,788.80 $9,804,856.87
2038-07-01 229741 8500 14 $194,002.62 168,477.67 112,318.45 $3,874.99 $166.79 $11,248.12 $191.78 $209,484.30 $0.91 144,462.81 $10,384,293.20 $10,174,808.90
2038-08-01 238241 8814 14 $194,002.62 174,711.04 116,474.02 $4,018.35 $172.96 $11,664.28 $198.88 $210,057.10 $0.88 148,608.00 $10,768,493.20 $10,558,436.10
2038-09-01 247055 9141 15 $207,859.95 181,174.67 120,783.11 $4,167.02 $179.36 $12,095.81 $206.24 $224,508.38 $0.91 155,222.40 $11,166,886.00 $10,942,377.62
2038-10-01 256196 9479 16 $221,717.28 187,878.11 125,252.07 $4,321.20 $186.00 $12,543.36 $213.87 $238,981.70 $0.93 161,996.27 $11,580,059.20 $11,341,077.50
2038-11-01 265675 9829 16 $221,717.28 194,829.41 129,886.28 $4,481.08 $192.88 $13,007.45 $221.78 $239,620.47 $0.90 166,618.89 $12,008,510.00 $11,768,889.53
2038-12-01 275504 10193 17 $235,574.61 202,037.39 134,691.59 $4,646.86 $200.02 $13,488.68 $229.99 $254,140.15 $0.92 173,728.27 $12,452,780.80 $12,198,640.65
2039-01-01 285697 10570 17 $235,574.61 209,512.30 139,674.86 $4,818.78 $207.42 $13,987.73 $238.49 $254,827.03 $0.89 178,699.09 $12,913,504.40 $12,658,677.37
2039-02-01 296267 10961 18 $249,431.94 217,263.67 144,842.45 $4,997.06 $215.09 $14,505.23 $247.32 $269,396.65 $0.91 186,169.84 $13,391,268.40 $13,121,871.75
2039-03-01 307228 11367 19 $263,289.27 225,301.78 150,201.19 $5,181.94 $223.05 $15,041.88 $256.47 $283,992.61 $0.92 193,831.26 $13,886,705.60 $13,602,712.99
2039-04-01 318595 11788 19 $263,289.27 233,637.63 155,758.42 $5,373.67 $231.30 $15,598.41 $265.96 $284,758.61 $0.89 199,374.60 $14,400,494.00 $14,115,735.39
2039-05-01 330383 12224 20 $277,146.60 242,282.21 161,521.47 $5,572.49 $239.86 $16,175.55 $275.80 $299,410.30 $0.91 207,439.33 $14,933,311.60 $14,633,901.30
2039-06-01 342607 12676 21 $291,003.93 251,246.53 167,497.68 $5,778.67 $248.73 $16,774.04 $286.00 $314,091.38 $0.92 215,716.68 $15,485,836.40 $15,171,745.02
2039-07-01 355283 13145 21 $291,003.93 260,542.31 173,694.87 $5,992.47 $257.94 $17,394.66 $296.58 $314,945.58 $0.89 221,898.38 $16,058,791.60 $15,743,846.02
2039-08-01 368428 13631 22 $304,861.26 270,182.03 180,121.35 $6,214.19 $267.48 $18,038.23 $307.56 $329,688.72 $0.89 230,624.88 $16,652,945.60 $16,323,256.88
2039-09-01 382059 14136 23 $318,718.59 280,178.15 186,785.44 $6,444.10 $277.38 $18,705.61 $318.94 $344,464.61 $0.90 239,588.38 $17,269,066.80 $16,924,602.19
2039-10-01 396195 14659 24 $332,575.92 290,544.61 193,696.41 $6,682.53 $287.64 $19,397.71 $330.74 $359,274.53 $0.91 248,798.16 $17,908,014.00 $17,548,739.47
2039-11-01 410854 15201 25 $346,433.25 301,294.61 200,863.07 $6,929.78 $298.28 $20,115.41 $342.97 $374,119.69 $0.91 258,262.99 $18,570,600.80 $18,196,481.11
2039-12-01 426055 15764 26 $360,290.58 312,442.07 208,294.71 $7,186.17 $309.32 $20,859.65 $355.66 $389,001.38 $0.91 267,992.13 $19,257,686.00 $18,868,684.62
2040-01-01 441819 16347 26 $360,290.58 324,002.40 216,001.60 $7,452.06 $320.76 $21,631.46 $368.82 $390,063.68 $0.88 275,679.75 $19,970,218.80 $19,580,155.12
2040-02-01 458166 16952 27 $374,147.91 335,990.26 223,993.51 $7,727.78 $332.63 $22,431.81 $382.47 $405,022.59 $0.88 285,967.77 $20,709,103.20 $20,304,080.61
2040-03-01 475118 17579 28 $388,005.24 348,421.80 232,281.20 $8,013.70 $344.94 $23,261.78 $396.62 $420,022.28 $0.88 296,550.82 $21,475,333.60 $21,055,311.32
2040-04-01 492697 18229 29 $401,862.57 361,313.14 240,875.43 $8,310.20 $357.70 $24,122.45 $411.29 $435,064.21 $0.88 307,439.64 $22,269,904.40 $21,834,840.19
2040-05-01 510926 18904 30 $415,719.90 374,681.15 249,787.43 $8,617.67 $370.93 $25,014.94 $426.51 $450,149.95 $0.88 318,645.45 $23,093,855.20 $22,643,705.25
2040-06-01 529830 19603 32 $443,434.56 388,544.16 259,029.44 $8,936.52 $384.66 $25,940.48 $442.29 $479,138.50 $0.90 332,496.52 $23,948,316.00 $23,469,177.50
2040-07-01 549433 20329 33 $457,291.89 402,919.77 268,613.18 $9,267.15 $398.89 $26,900.24 $458.66 $494,316.83 $0.90 344,372.39 $24,834,371.60 $24,340,054.77
2040-08-01 569762 21081 34 $471,149.22 417,827.79 278,551.86 $9,610.04 $413.65 $27,895.55 $475.63 $509,544.08 $0.89 356,602.30 $25,753,242.40 $25,243,698.32
2040-09-01 590843 21861 35 $485,006.55 433,287.27 288,858.18 $9,965.61 $428.95 $28,927.67 $493.23 $524,822.01 $0.89 369,198.94 $26,706,103.60 $26,181,281.59
2040-10-01 612704 22670 36 $498,863.88 449,318.76 299,545.84 $10,334.33 $444.83 $29,997.99 $511.47 $540,152.50 $0.88 382,175.96 $27,694,220.80 $27,154,068.30
2040-11-01 635374 23508 38 $526,578.54 465,943.52 310,629.01 $10,716.70 $461.28 $31,107.91 $530.40 $569,394.84 $0.90 397,863.59 $28,718,904.80 $28,149,509.96
2040-12-01 658882 24378 39 $540,435.87 483,182.81 322,121.88 $11,113.20 $478.35 $32,258.86 $550.02 $584,836.31 $0.89 411,643.81 $29,781,466.40 $29,196,630.09
Logistic Growth Model
The coefficients and values used in the multiple equations are listed below: