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 17% intrinsic growth rate (r), a 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 140 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 1140 159 2 $27,714.66 836.00 557.34 $19.23 $0.83 $55.81 $0.95 $27,791.48 $24.38 5,188.11 $51,528.00 $23,736.52
2026-03-01 1299 181 2 $27,714.66 952.61 635.07 $21.91 $0.94 $63.60 $1.08 $27,802.20 $21.40 5,265.65 $58,714.80 $30,912.60
2026-04-01 1480 207 2 $27,714.66 1,085.34 723.56 $24.96 $1.07 $72.46 $1.24 $27,814.39 $18.79 5,353.92 $66,896.00 $39,081.61
2026-05-01 1687 236 2 $27,714.66 1,237.14 824.76 $28.45 $1.22 $82.60 $1.41 $27,828.34 $16.50 5,454.86 $76,252.40 $48,424.06
2026-06-01 1923 269 2 $27,714.66 1,410.21 940.14 $32.43 $1.40 $94.15 $1.61 $27,844.25 $14.48 5,569.95 $86,919.60 $59,075.35
2026-07-01 2192 306 2 $27,714.66 1,607.48 1,071.65 $36.97 $1.59 $107.32 $1.83 $27,862.37 $12.71 5,701.14 $99,078.40 $71,216.03
2026-08-01 2498 349 2 $27,714.66 1,831.88 1,221.25 $42.13 $1.81 $122.30 $2.09 $27,882.99 $11.16 5,850.36 $112,909.60 $85,026.61
2026-09-01 2847 398 2 $27,714.66 2,087.81 1,391.87 $48.02 $2.07 $139.39 $2.38 $27,906.51 $9.80 6,020.56 $128,684.40 $100,777.89
2026-10-01 3245 454 2 $27,714.66 2,379.68 1,586.45 $54.73 $2.36 $158.88 $2.71 $27,933.33 $8.61 6,214.65 $146,674.00 $118,740.67
2026-11-01 3699 517 2 $27,714.66 2,712.62 1,808.41 $62.39 $2.69 $181.10 $3.09 $27,963.93 $7.56 6,436.06 $167,194.80 $139,230.87
2026-12-01 4216 590 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
2027-01-01 4806 672 2 $27,714.66 3,524.42 2,349.61 $81.06 $3.49 $235.30 $4.01 $28,038.52 $5.83 6,975.91 $217,231.20 $189,192.68
2027-02-01 5478 766 2 $27,714.66 4,017.22 2,678.15 $92.40 $3.98 $268.20 $4.57 $28,083.81 $5.13 7,303.62 $247,605.60 $219,521.79
2027-03-01 6244 874 2 $27,714.66 4,578.96 3,052.64 $105.32 $4.53 $305.71 $5.21 $28,135.43 $4.51 7,677.17 $282,228.80 $254,093.37
2027-04-01 7118 996 2 $27,714.66 5,219.90 3,479.93 $120.06 $5.17 $348.50 $5.94 $28,194.32 $3.96 8,103.40 $321,733.60 $293,539.28
2027-05-01 8114 1135 2 $27,714.66 5,950.30 3,966.87 $136.86 $5.89 $397.26 $6.77 $28,261.44 $3.48 8,589.12 $366,752.80 $338,491.36
2027-06-01 9249 1294 2 $27,714.66 6,782.64 4,521.76 $156.00 $6.71 $452.83 $7.72 $28,337.93 $3.06 9,142.62 $418,054.80 $389,716.87
2027-07-01 10543 1476 2 $27,714.66 7,731.58 5,154.38 $177.83 $7.65 $516.19 $8.80 $28,425.13 $2.70 9,773.66 $476,543.60 $448,118.47
2027-08-01 12019 1682 2 $27,714.66 8,813.98 5,875.99 $202.72 $8.73 $588.45 $10.03 $28,524.59 $2.37 10,493.46 $543,258.80 $514,734.21
2027-09-01 13701 1918 2 $27,714.66 10,047.46 6,698.30 $231.09 $9.95 $670.80 $11.44 $28,637.94 $2.09 11,313.72 $619,285.20 $590,647.26
2027-10-01 15619 2186 2 $27,714.66 11,454.00 7,636.00 $263.44 $11.34 $764.71 $13.04 $28,767.19 $1.84 12,249.07 $705,978.80 $677,211.61
2027-11-01 17805 2492 2 $27,714.66 13,057.07 8,704.71 $300.31 $12.93 $871.73 $14.86 $28,914.50 $1.62 13,315.12 $804,786.00 $775,871.50
2027-12-01 20297 2841 2 $27,714.66 14,884.55 9,923.03 $342.34 $14.74 $993.74 $16.94 $29,082.42 $1.43 14,530.39 $917,424.40 $888,341.98
2028-01-01 23138 3239 2 $27,714.66 16,967.96 11,311.97 $390.26 $16.80 $1,132.84 $19.32 $29,273.87 $1.27 15,915.86 $1,045,837.60 $1,016,563.73
2028-02-01 26377 3692 2 $27,714.66 19,343.24 12,895.49 $444.89 $19.15 $1,291.42 $22.02 $29,492.14 $1.12 17,495.42 $1,192,240.40 $1,162,748.26
2028-03-01 30069 4209 2 $27,714.66 22,050.72 14,700.48 $507.17 $21.83 $1,472.18 $25.10 $29,740.94 $0.99 19,295.90 $1,359,118.80 $1,329,377.86
2028-04-01 34278 4798 3 $41,571.99 25,137.34 16,758.23 $578.16 $24.89 $1,678.25 $28.61 $43,881.90 $1.28 23,664.58 $1,549,365.60 $1,505,483.70
2028-05-01 39076 5470 3 $41,571.99 28,655.89 19,103.93 $659.09 $28.37 $1,913.16 $32.62 $44,205.23 $1.13 26,004.42 $1,766,235.20 $1,722,029.97
2028-06-01 44546 6236 3 $41,571.99 32,667.25 21,778.17 $751.35 $32.34 $2,180.97 $37.19 $44,573.84 $1.00 28,671.97 $2,013,479.20 $1,968,905.36
2028-07-01 50782 7109 3 $41,571.99 37,240.34 24,826.89 $856.53 $36.87 $2,486.29 $42.39 $44,994.06 $0.89 31,713.08 $2,295,346.40 $2,250,352.34
2028-08-01 57891 8104 4 $55,429.32 42,453.64 28,302.42 $976.43 $42.03 $2,834.34 $48.33 $59,330.45 $1.02 37,496.00 $2,616,673.20 $2,557,342.75
2028-09-01 65995 9239 4 $55,429.32 48,396.60 32,264.40 $1,113.12 $47.91 $3,231.12 $55.09 $59,876.56 $0.91 41,448.07 $2,982,974.00 $2,923,097.44
2028-10-01 75234 10532 5 $69,286.65 55,171.91 36,781.27 $1,268.95 $54.62 $3,683.46 $62.80 $74,356.48 $0.99 48,269.73 $3,400,576.80 $3,326,220.32
2028-11-01 85766 12007 6 $83,143.98 62,895.42 41,930.28 $1,446.59 $62.27 $4,199.10 $71.60 $88,923.54 $1.04 55,721.95 $3,876,623.20 $3,787,699.66
2028-12-01 97773 13688 6 $83,143.98 71,700.60 47,800.40 $1,649.11 $70.98 $4,786.97 $81.62 $89,732.66 $0.92 61,577.40 $4,419,339.60 $4,329,606.94
2029-01-01 111461 15604 7 $97,001.31 81,738.52 54,492.35 $1,879.99 $80.92 $5,457.13 $93.05 $104,512.39 $0.94 70,568.70 $5,038,037.20 $4,933,524.81
2029-02-01 127065 17789 8 $110,858.64 93,181.52 62,121.01 $2,143.17 $92.25 $6,221.10 $106.07 $119,421.24 $0.94 80,494.37 $5,743,338.00 $5,623,916.76
2029-03-01 144854 20279 9 $124,715.97 106,226.86 70,817.90 $2,443.22 $105.16 $7,092.05 $120.92 $134,477.33 $0.93 91,485.61 $6,547,400.80 $6,412,923.47
2029-04-01 165133 23118 10 $138,573.30 121,098.21 80,732.14 $2,785.26 $119.89 $8,084.91 $137.85 $149,701.21 $0.91 103,691.14 $7,464,011.60 $7,314,310.39
2029-05-01 188251 26355 12 $166,287.96 138,051.50 92,034.33 $3,175.18 $136.67 $9,216.77 $157.15 $178,973.73 $0.95 119,597.24 $8,508,945.20 $8,329,971.47
2029-06-01 214606 30044 13 $180,145.29 157,378.61 104,919.07 $3,619.71 $155.80 $10,507.11 $179.15 $194,607.06 $0.91 134,765.85 $9,700,191.20 $9,505,584.14
2029-07-01 244650 34251 15 $207,859.95 179,411.00 119,607.33 $4,126.45 $177.62 $11,978.06 $204.23 $224,346.31 $0.92 154,049.56 $11,058,180.00 $10,833,833.69
2029-08-01 278901 39046 17 $235,574.61 204,528.53 136,352.36 $4,704.16 $202.48 $13,654.99 $232.82 $254,369.06 $0.91 175,384.89 $12,606,325.20 $12,351,956.14
2029-09-01 317947 44512 19 $263,289.27 233,162.43 155,441.62 $5,362.74 $230.83 $15,566.69 $265.42 $284,714.94 $0.90 199,058.59 $14,371,204.40 $14,086,489.46
2029-10-01 362459 50744 22 $304,861.26 265,804.74 177,203.16 $6,113.51 $263.15 $17,745.99 $302.57 $329,286.48 $0.91 227,713.98 $16,383,146.80 $16,053,860.32
2029-11-01 413203 57848 25 $346,433.25 303,017.21 202,011.48 $6,969.40 $299.99 $20,230.42 $344.93 $374,277.99 $0.91 259,408.52 $18,676,775.60 $18,302,497.61
2029-12-01 471051 65947 28 $388,005.24 345,439.32 230,292.88 $7,945.10 $341.98 $23,062.66 $393.23 $419,748.21 $0.89 294,567.47 $21,291,505.20 $20,871,756.99
2030-01-01 536998 75179 32 $443,434.56 393,800.72 262,533.81 $9,057.42 $389.86 $26,291.42 $448.28 $479,621.54 $0.89 335,992.13 $24,272,309.60 $23,792,688.06
2030-02-01 612177 85704 36 $498,863.88 448,932.29 299,288.19 $10,325.44 $444.44 $29,972.19 $511.03 $540,116.99 $0.88 381,918.96 $27,670,400.40 $27,130,283.41
2030-03-01 697881 97703 41 $568,150.53 511,782.24 341,188.16 $11,770.99 $506.66 $34,168.25 $582.58 $615,179.02 $0.88 435,294.59 $31,544,221.20 $30,929,042.18
2030-04-01 795584 111381 47 $651,294.51 583,431.50 388,954.34 $13,418.92 $577.60 $38,951.79 $664.14 $704,906.96 $0.89 496,837.85 $35,960,396.80 $35,255,489.84
2030-05-01 906965 126975 54 $748,295.82 665,111.36 443,407.57 $15,297.56 $658.46 $44,405.01 $757.12 $809,413.97 $0.89 567,367.53 $40,994,818.00 $40,185,404.03
2030-06-01 1033940 144751 61 $845,297.13 758,226.87 505,484.58 $17,439.22 $750.64 $50,621.70 $863.12 $914,971.81 $0.88 645,501.93 $46,734,088.00 $45,819,116.19
2030-07-01 1178691 165016 70 $970,013.10 864,378.20 576,252.13 $19,880.70 $855.73 $57,708.71 $983.95 $1,049,442.19 $0.89 736,937.31 $53,276,833.20 $52,227,391.01
2030-08-01 1343707 188118 79 $1,094,729.07 985,390.60 656,927.07 $22,663.98 $975.54 $65,787.89 $1,121.70 $1,185,278.19 $0.88 838,255.31 $60,735,556.40 $59,550,278.21
2030-09-01 1531825 214455 90 $1,247,159.70 1,123,344.57 748,896.38 $25,836.93 $1,112.11 $74,998.15 $1,278.74 $1,350,385.63 $0.88 955,471.61 $69,238,490.00 $67,888,104.37
2030-10-01 1746280 244479 103 $1,427,304.99 1,280,612.44 853,741.63 $29,454.09 $1,267.81 $85,497.87 $1,457.76 $1,544,982.52 $0.88 1,090,163.82 $78,931,856.00 $77,386,873.48
2030-11-01 1990759 278706 117 $1,621,307.61 1,459,898.03 973,265.36 $33,577.65 $1,445.30 $97,467.56 $1,661.85 $1,755,459.98 $0.88 1,241,813.90 $89,982,306.80 $88,226,846.82
2030-12-01 2269465 317725 134 $1,856,882.22 1,664,283.57 1,109,522.38 $38,278.52 $1,647.64 $111,113.01 $1,894.51 $2,009,815.90 $0.89 1,417,103.69 $102,579,818.00 $100,570,002.10
2031-01-01 2587190 362206 152 $2,106,314.16 1,897,283.19 1,264,855.46 $43,637.51 $1,878.31 $126,668.82 $2,159.74 $2,280,658.55 $0.88 1,613,737.94 $116,940,988.00 $114,660,329.45
2031-02-01 2949396 412915 174 $2,411,175.42 2,162,902.40 1,441,934.93 $49,746.76 $2,141.27 $144,402.43 $2,462.10 $2,609,927.98 $0.88 1,841,328.54 $133,312,699.20 $130,702,771.22
2031-03-01 3362311 470723 198 $2,743,751.34 2,465,708.41 1,643,805.61 $56,711.29 $2,441.05 $164,618.75 $2,806.80 $2,970,329.23 $0.88 2,098,280.53 $151,976,457.20 $149,006,127.97
2031-04-01 3833034 -114991 226 $3,131,756.58 2,810,907.20 1,873,938.13 $64,650.87 $2,782.80 $187,665.34 $3,199.75 $3,390,055.34 $0.88 2,392,688.04 $173,253,136.80 $169,863,081.46
2031-05-01 3718043 -111541 219 $3,034,755.27 2,726,580.00 1,817,720.00 $62,711.34 $2,699.31 $182,035.39 $3,103.76 $3,285,305.07 $0.88 2,320,397.87 $168,055,543.60 $164,770,238.53
2031-06-01 3606502 -108195 212 $2,937,753.96 2,644,782.81 1,763,188.54 $60,830.00 $2,618.33 $176,574.34 $3,010.65 $3,180,787.28 $0.88 2,249,790.16 $163,013,890.40 $159,833,103.12
2031-07-01 3498307 489762 206 $2,854,609.98 2,565,439.37 1,710,292.91 $59,005.11 $2,539.78 $171,277.11 $2,920.33 $3,090,352.31 $0.88 2,183,130.28 $158,123,476.40 $155,033,124.09
2031-08-01 3988069 -119642 235 $3,256,472.55 2,924,600.16 1,949,733.44 $67,265.80 $2,895.35 $195,255.86 $3,329.17 $3,525,218.74 $0.88 2,489,138.61 $180,260,718.80 $176,735,500.06
2031-09-01 3868427 -116052 228 $3,159,471.24 2,836,862.21 1,891,241.47 $65,247.83 $2,808.49 $189,398.19 $3,229.30 $3,420,155.05 $0.88 2,414,580.29 $174,852,900.40 $171,432,745.35
2031-10-01 3752375 -112571 221 $3,062,469.93 2,751,756.94 1,834,504.62 $63,290.41 $2,724.24 $183,716.28 $3,132.42 $3,315,333.28 $0.88 2,341,772.70 $169,607,350.00 $166,292,016.72
2031-11-01 3639804 -109194 214 $2,965,468.62 2,669,204.41 1,779,469.61 $61,391.70 $2,642.51 $178,204.80 $3,038.45 $3,210,746.08 $0.88 2,270,662.69 $164,519,140.80 $161,308,394.72
2031-12-01 3530610 -105918 208 $2,882,324.64 2,589,128.37 1,726,085.58 $59,549.95 $2,563.24 $172,858.67 $2,947.29 $3,120,243.79 $0.88 2,203,515.63 $159,583,572.00 $156,463,328.21
2032-01-01 3424692 479456 202 $2,799,180.66 2,511,454.74 1,674,303.16 $57,763.46 $2,486.34 $167,672.92 $2,858.87 $3,029,962.25 $0.88 2,137,966.16 $154,796,078.40 $151,766,116.15
2032-02-01 3904148 -117124 230 $3,187,185.90 2,863,057.75 1,908,705.17 $65,850.33 $2,834.43 $191,147.09 $3,259.11 $3,450,276.86 $0.88 2,436,632.50 $176,467,489.60 $173,017,212.74
2032-03-01 3787024 -113610 223 $3,090,184.59 2,777,166.34 1,851,444.23 $63,874.83 $2,749.39 $185,412.70 $3,161.34 $3,345,382.85 $0.88 2,363,302.13 $171,173,484.80 $167,828,101.95
2032-04-01 3673414 -110202 216 $2,993,183.28 2,693,851.88 1,795,901.25 $61,958.59 $2,666.91 $179,850.35 $3,066.50 $3,240,725.64 $0.88 2,291,685.43 $166,038,312.80 $162,797,587.16
2032-05-01 3563212 -106896 210 $2,910,039.30 2,613,036.63 1,742,024.42 $60,099.84 $2,586.91 $174,454.86 $2,974.51 $3,150,155.42 $0.88 2,224,046.79 $161,057,182.40 $157,907,026.98
2032-06-01 3456316 483884 203 $2,813,037.99 2,534,645.80 1,689,763.86 $58,296.85 $2,509.30 $169,221.23 $2,885.27 $3,045,950.65 $0.88 2,155,704.30 $156,225,483.20 $153,179,532.55
2032-07-01 3940200 -118206 232 $3,214,900.56 2,889,496.03 1,926,330.69 $66,458.41 $2,860.60 $192,912.19 $3,289.21 $3,480,420.97 $0.88 2,458,846.12 $178,097,040.00 $174,616,619.03
2032-08-01 3821994 -114659 225 $3,117,899.25 2,802,811.15 1,868,540.77 $64,464.66 $2,774.78 $187,124.83 $3,190.53 $3,375,454.05 $0.88 2,384,988.09 $172,754,128.80 $169,378,674.75
2032-09-01 3707335 -111220 218 $3,020,897.94 2,718,727.42 1,812,484.95 $62,530.73 $2,691.54 $181,511.12 $3,094.82 $3,270,726.15 $0.88 2,312,859.83 $167,571,542.00 $164,300,815.85
2032-10-01 3596115 -107883 212 $2,937,753.96 2,637,165.63 1,758,110.42 $60,654.81 $2,610.79 $176,065.79 $3,001.97 $3,180,087.33 $0.88 2,244,724.74 $162,544,398.00 $159,364,310.67
2032-11-01 3488232 488352 205 $2,840,752.65 2,558,050.99 1,705,367.33 $58,835.17 $2,532.47 $170,783.84 $2,911.92 $3,075,816.05 $0.88 2,175,900.93 $157,668,086.40 $154,592,270.35
2032-12-01 3976584 -119297 234 $3,242,615.22 2,916,177.78 1,944,118.52 $67,072.09 $2,887.02 $194,693.55 $3,319.58 $3,510,587.46 $0.88 2,481,221.65 $179,741,596.80 $176,231,009.34
2033-01-01 3857287 -115718 227 $3,145,613.91 2,828,692.83 1,885,795.22 $65,059.94 $2,800.41 $188,852.77 $3,220.00 $3,405,547.02 $0.88 2,406,831.57 $174,349,372.40 $170,943,825.38
2033-02-01 3741569 -112247 220 $3,048,612.60 2,743,832.49 1,829,221.66 $63,108.15 $2,716.39 $183,187.22 $3,123.40 $3,300,747.76 $0.88 2,334,186.87 $169,118,918.80 $165,818,171.04
2033-03-01 3629322 -108879 214 $2,965,468.62 2,661,517.57 1,774,345.05 $61,214.90 $2,634.90 $177,691.61 $3,029.69 $3,210,039.73 $0.88 2,265,550.94 $164,045,354.40 $160,835,314.67
2033-04-01 3520443 -105613 207 $2,868,467.31 2,581,672.52 1,721,115.02 $59,378.47 $2,555.86 $172,360.89 $2,938.80 $3,105,701.33 $0.88 2,196,241.41 $159,124,023.60 $156,018,322.27
2033-05-01 3414830 478076 201 $2,785,323.33 2,504,222.56 1,669,481.71 $57,597.12 $2,479.18 $167,190.08 $2,850.64 $3,015,440.35 $0.88 2,130,840.69 $154,350,316.00 $151,334,875.65
2033-06-01 3892906 -116787 229 $3,173,328.57 2,854,813.57 1,903,209.05 $65,660.71 $2,826.27 $190,596.68 $3,249.73 $3,435,661.96 $0.88 2,428,834.03 $175,959,351.20 $172,523,689.24
2033-07-01 3776119 -113283 222 $3,076,327.26 2,769,169.30 1,846,112.87 $63,690.89 $2,741.48 $184,878.79 $3,152.24 $3,330,790.66 $0.88 2,355,668.01 $170,680,578.80 $167,349,788.14
2033-08-01 3662836 -109885 216 $2,993,183.28 2,686,094.64 1,790,729.76 $61,780.18 $2,659.23 $179,332.45 $3,057.67 $3,240,012.81 $0.88 2,286,526.86 $165,560,187.20 $162,320,174.39
2033-09-01 3552951 -106588 209 $2,896,181.97 2,605,511.86 1,737,007.90 $59,926.77 $2,579.46 $173,952.48 $2,965.94 $3,135,606.62 $0.88 2,216,726.73 $160,593,385.20 $157,457,778.58
2033-10-01 3446363 482490 203 $2,813,037.99 2,527,346.89 1,684,897.93 $58,128.98 $2,502.07 $168,733.93 $2,876.96 $3,045,279.94 $0.88 2,150,850.53 $155,775,607.60 $152,730,327.66
2033-11-01 3928853 -117865 231 $3,201,043.23 2,881,174.85 1,920,783.24 $66,267.02 $2,852.36 $192,356.64 $3,279.74 $3,465,799.00 $0.88 2,450,996.45 $177,584,155.60 $174,118,356.60
2033-12-01 3810988 -114329 224 $3,104,041.92 2,794,740.04 1,863,160.03 $64,279.02 $2,766.79 $186,585.97 $3,181.35 $3,360,855.05 $0.88 2,377,304.72 $172,256,657.60 $168,895,802.55
2034-01-01 3696659 -110899 218 $3,020,897.94 2,710,898.31 1,807,265.54 $62,350.66 $2,683.79 $180,988.42 $3,085.91 $3,270,006.72 $0.88 2,307,653.47 $167,088,986.80 $163,818,980.08
2034-02-01 3585760 -107572 211 $2,923,896.63 2,629,571.92 1,753,047.95 $60,480.15 $2,603.28 $175,558.81 $2,993.33 $3,165,532.20 $0.88 2,237,358.84 $162,076,352.00 $158,910,819.80
2034-03-01 3478188 486946 205 $2,840,752.65 2,550,685.35 1,700,456.90 $58,665.76 $2,525.18 $170,292.08 $2,903.53 $3,075,139.21 $0.88 2,171,002.77 $157,214,097.60 $154,138,958.39
2034-04-01 3965134 -118954 233 $3,228,757.89 2,907,781.07 1,938,520.71 $66,878.96 $2,878.70 $194,132.96 $3,310.02 $3,495,958.54 $0.88 2,473,321.75 $179,224,056.80 $175,728,098.26
2034-05-01 3846180 -115385 226 $3,131,756.58 2,820,547.65 1,880,365.10 $64,872.60 $2,792.34 $188,308.97 $3,210.72 $3,390,941.22 $0.88 2,399,098.95 $173,847,336.00 $170,456,394.78
2034-06-01 3730795 -111923 220 $3,048,612.60 2,735,931.51 1,823,954.34 $62,926.42 $2,708.57 $182,659.72 $3,114.40 $3,300,021.72 $0.88 2,328,932.72 $168,631,934.00 $165,331,912.28
2034-07-01 3618872 -108566 213 $2,951,611.29 2,653,854.19 1,769,236.13 $61,038.65 $2,627.32 $177,179.97 $3,020.97 $3,195,478.20 $0.88 2,258,138.72 $163,573,014.40 $160,377,536.20
2034-08-01 3510306 -105309 207 $2,868,467.31 2,574,238.68 1,716,159.12 $59,207.49 $2,548.50 $171,864.58 $2,930.34 $3,105,018.22 $0.88 2,191,297.91 $158,665,831.20 $155,560,812.98
2034-09-01 3404997 476699 200 $2,771,466.00 2,497,011.65 1,664,674.44 $57,431.27 $2,472.04 $166,708.65 $2,842.43 $3,000,920.39 $0.88 2,123,729.35 $153,905,864.40 $150,904,944.01
2034-10-01 3881696 -116450 228 $3,159,471.24 2,846,592.86 1,897,728.57 $65,471.64 $2,818.13 $190,047.84 $3,240.37 $3,421,049.21 $0.88 2,421,051.18 $175,452,659.20 $172,031,609.99
2034-11-01 3765246 -112957 222 $3,076,327.26 2,761,195.72 1,840,797.15 $63,507.50 $2,733.58 $184,346.44 $3,143.16 $3,330,057.95 $0.88 2,350,365.58 $170,189,119.20 $166,859,061.25
2034-12-01 3652289 -109568 215 $2,979,325.95 2,678,360.13 1,785,573.42 $61,602.28 $2,651.58 $178,816.07 $3,048.87 $3,225,444.75 $0.88 2,279,067.33 $165,083,462.80 $161,858,018.05
2035-01-01 3542721 -106281 208 $2,882,324.64 2,598,009.82 1,732,006.54 $59,754.23 $2,572.03 $173,451.62 $2,957.40 $3,121,059.92 $0.88 2,209,421.79 $160,130,989.20 $157,009,929.28
2035-02-01 3436440 481101 202 $2,799,180.66 2,520,069.98 1,680,046.66 $57,961.61 $2,494.87 $168,248.10 $2,868.68 $3,030,753.92 $0.88 2,143,695.30 $155,327,088.00 $152,296,334.08
2035-03-01 3917541 -117526 230 $3,187,185.90 2,872,879.34 1,915,252.89 $66,076.22 $2,844.15 $191,802.81 $3,270.30 $3,451,179.38 $0.88 2,443,163.85 $177,072,853.20 $173,621,673.82
2035-04-01 3800015 -114000 224 $3,104,041.92 2,786,693.13 1,857,795.42 $64,093.94 $2,758.83 $186,048.73 $3,172.19 $3,360,115.61 $0.88 2,371,953.52 $171,760,678.00 $168,400,562.39
2035-05-01 3686015 -110580 217 $3,007,040.61 2,703,092.67 1,802,061.78 $62,171.13 $2,676.06 $180,467.29 $3,077.02 $3,255,432.12 $0.88 2,300,146.63 $166,607,878.00 $163,352,445.88
2035-06-01 3575435 -107263 210 $2,910,039.30 2,622,000.22 1,748,000.14 $60,306.00 $2,595.78 $175,053.30 $2,984.71 $3,150,979.09 $0.88 2,230,007.57 $161,609,662.00 $158,458,682.91
2035-07-01 3468172 485544 204 $2,826,895.32 2,543,340.25 1,695,560.16 $58,496.83 $2,517.91 $169,801.70 $2,895.17 $3,060,606.92 $0.88 2,163,802.20 $156,761,374.40 $153,700,767.48
2035-08-01 3953716 -118611 233 $3,228,757.89 2,899,407.82 1,932,938.55 $66,686.38 $2,870.41 $193,573.94 $3,300.49 $3,495,189.11 $0.88 2,467,753.54 $178,707,963.20 $175,212,774.09
2035-09-01 3835105 -115053 226 $3,131,756.58 2,812,425.94 1,874,950.63 $64,685.80 $2,784.30 $187,766.74 $3,201.48 $3,390,194.90 $0.88 2,393,698.01 $173,346,746.00 $169,956,551.10
2035-10-01 3720052 -111601 219 $3,034,755.27 2,728,053.27 1,818,702.18 $62,745.23 $2,700.77 $182,133.75 $3,105.43 $3,285,440.45 $0.88 2,321,377.60 $168,146,350.40 $164,860,909.95
2035-11-01 3608451 -108253 212 $2,937,753.96 2,646,212.08 1,764,141.39 $60,862.88 $2,619.75 $176,669.76 $3,012.27 $3,180,918.62 $0.88 2,250,740.63 $163,101,985.20 $159,921,066.58
2035-12-01 3500198 -105005 206 $2,854,609.98 2,566,826.11 1,711,217.41 $59,037.00 $2,541.16 $171,369.69 $2,921.90 $3,090,479.74 $0.88 2,184,052.46 $158,208,949.60 $155,118,469.86
2036-01-01 3395193 475327 200 $2,771,466.00 2,489,822.02 1,659,881.34 $57,265.91 $2,464.92 $166,228.65 $2,834.25 $3,000,259.73 $0.88 2,118,948.24 $153,462,723.60 $150,462,463.87
2036-02-01 3870520 -116115 228 $3,159,471.24 2,838,397.08 1,892,264.72 $65,283.13 $2,810.01 $189,500.66 $3,231.04 $3,420,296.09 $0.88 2,415,600.98 $174,947,504.00 $171,527,207.91
2036-03-01 3754405 -112632 221 $3,062,469.93 2,753,245.61 1,835,497.07 $63,324.65 $2,725.71 $183,815.67 $3,134.11 $3,315,470.07 $0.88 2,342,762.67 $169,699,106.00 $166,383,635.93
2036-04-01 3641773 -109253 214 $2,965,468.62 2,670,648.35 1,780,432.23 $61,424.91 $2,643.94 $178,301.21 $3,040.09 $3,210,878.77 $0.88 2,271,622.92 $164,608,139.60 $161,397,260.83
2036-05-01 3532520 -105975 208 $2,882,324.64 2,590,529.04 1,727,019.36 $59,582.17 $2,564.62 $172,952.18 $2,948.89 $3,120,372.50 $0.88 2,204,447.08 $159,669,904.00 $156,549,531.50
2036-06-01 3426545 479716 202 $2,799,180.66 2,512,813.61 1,675,209.07 $57,794.71 $2,487.69 $167,763.64 $2,860.42 $3,030,087.12 $0.88 2,138,869.82 $154,879,834.00 $151,849,746.88
2036-07-01 3906261 -117187 230 $3,187,185.90 2,864,607.29 1,909,738.20 $65,885.97 $2,835.96 $191,250.54 $3,260.88 $3,450,419.25 $0.88 2,437,662.94 $176,562,997.20 $173,112,577.95
2036-08-01 3789074 -113672 223 $3,090,184.59 2,778,669.68 1,852,446.46 $63,909.40 $2,750.88 $185,513.06 $3,163.05 $3,345,520.99 $0.88 2,364,301.85 $171,266,144.80 $167,920,623.81
2036-09-01 3675402 -110262 216 $2,993,183.28 2,695,309.76 1,796,873.17 $61,992.12 $2,668.36 $179,947.68 $3,068.16 $3,240,859.60 $0.88 2,292,654.92 $166,128,170.40 $162,887,310.80
2036-10-01 3565140 -106954 210 $2,910,039.30 2,614,450.51 1,742,967.00 $60,132.36 $2,588.31 $174,549.25 $2,976.12 $3,150,285.34 $0.88 2,224,987.02 $161,144,328.00 $157,994,042.66
2036-11-01 3458186 484146 204 $2,826,895.32 2,536,017.14 1,690,678.09 $58,328.39 $2,510.66 $169,312.79 $2,886.83 $3,059,933.99 $0.88 2,158,932.33 $156,310,007.20 $153,250,073.21
2036-12-01 3942332 -118269 232 $3,214,900.56 2,891,059.51 1,927,373.01 $66,494.37 $2,862.15 $193,016.57 $3,290.99 $3,480,564.64 $0.88 2,459,885.83 $178,193,406.40 $174,712,841.76
2037-01-01 3824063 -114721 225 $3,117,899.25 2,804,328.43 1,869,552.28 $64,499.55 $2,776.29 $187,226.12 $3,192.26 $3,375,593.47 $0.88 2,385,997.08 $172,847,647.60 $169,472,054.13
2037-02-01 3709342 -111280 218 $3,020,897.94 2,720,199.23 1,813,466.15 $62,564.58 $2,693.00 $181,609.38 $3,096.49 $3,270,861.40 $0.88 2,313,838.58 $167,662,258.40 $164,391,397.00
2037-03-01 3598062 -107941 212 $2,937,753.96 2,638,593.44 1,759,062.29 $60,687.65 $2,612.21 $176,161.12 $3,003.60 $3,180,218.53 $0.88 2,245,674.23 $162,632,402.40 $159,452,183.87
2037-04-01 3490121 488616 205 $2,840,752.65 2,559,436.27 1,706,290.85 $58,867.03 $2,533.84 $170,876.32 $2,913.49 $3,075,943.34 $0.88 2,176,822.13 $157,753,469.20 $154,677,525.86
2037-05-01 3978737 -119362 234 $3,242,615.22 2,917,756.66 1,945,171.10 $67,108.40 $2,888.58 $194,798.96 $3,321.38 $3,510,732.55 $0.88 2,482,271.60 $179,838,912.40 $176,328,179.85
2037-06-01 3859375 -115781 227 $3,145,613.91 2,830,224.04 1,886,816.02 $65,095.15 $2,801.92 $188,955.00 $3,221.74 $3,405,687.72 $0.88 2,407,849.83 $174,443,750.00 $171,038,062.28
2037-07-01 3743594 -112307 220 $3,048,612.60 2,745,317.50 1,830,211.67 $63,142.30 $2,717.86 $183,286.36 $3,125.09 $3,300,884.22 $0.88 2,335,174.40 $169,210,448.80 $165,909,564.58
2037-08-01 3631287 -108938 214 $2,965,468.62 2,662,958.58 1,775,305.72 $61,248.05 $2,636.33 $177,787.81 $3,031.34 $3,210,172.14 $0.88 2,266,509.21 $164,134,172.40 $160,924,000.26
2037-09-01 3522349 -105670 207 $2,868,467.31 2,583,070.27 1,722,046.84 $59,410.62 $2,557.24 $172,454.21 $2,940.40 $3,105,829.77 $0.88 2,197,170.91 $159,210,174.80 $156,104,345.03
2037-10-01 3416679 478335 201 $2,785,323.33 2,505,578.50 1,670,385.67 $57,628.31 $2,480.52 $167,280.60 $2,852.18 $3,015,564.95 $0.88 2,131,742.39 $154,433,890.80 $151,418,325.85
2037-11-01 3895014 -116850 229 $3,173,328.57 2,856,359.45 1,904,239.63 $65,696.27 $2,827.80 $190,699.89 $3,251.49 $3,435,804.01 $0.88 2,429,862.04 $176,054,632.80 $172,618,828.79
2037-12-01 3778164 -113344 222 $3,076,327.26 2,770,668.97 1,847,112.65 $63,725.39 $2,742.96 $184,978.91 $3,153.95 $3,330,928.46 $0.88 2,356,665.29 $170,773,012.80 $167,442,084.34
2038-01-01 3664820 -109944 216 $2,993,183.28 2,687,549.58 1,791,699.72 $61,813.64 $2,660.67 $179,429.59 $3,059.33 $3,240,146.51 $0.88 2,287,494.40 $165,649,864.00 $162,409,717.49
2038-02-01 3554876 -106646 209 $2,896,181.97 2,606,923.53 1,737,949.02 $59,959.24 $2,580.85 $174,046.73 $2,967.55 $3,135,736.34 $0.88 2,217,665.50 $160,680,395.20 $157,544,658.86
2038-03-01 3448230 482752 203 $2,813,037.99 2,528,716.03 1,685,810.69 $58,160.47 $2,503.43 $168,825.34 $2,878.52 $3,045,405.75 $0.88 2,151,761.01 $155,859,996.00 $152,814,590.25
2038-04-01 3930982 -117929 231 $3,201,043.23 2,882,736.13 1,921,824.09 $66,302.93 $2,853.91 $192,460.88 $3,281.52 $3,465,942.46 $0.88 2,452,034.70 $177,680,386.40 $174,214,443.94
2038-05-01 3813053 -114391 224 $3,104,041.92 2,796,254.38 1,864,169.59 $64,313.85 $2,768.29 $186,687.07 $3,183.07 $3,360,994.21 $0.88 2,378,311.76 $172,349,995.60 $168,989,001.39
2038-06-01 3698662 -110959 218 $3,020,897.94 2,712,367.18 1,808,244.79 $62,384.45 $2,685.24 $181,086.49 $3,087.58 $3,270,141.70 $0.88 2,308,630.27 $167,179,522.40 $163,909,380.70
2038-07-01 3587703 -107631 211 $2,923,896.63 2,630,996.80 1,753,997.87 $60,512.93 $2,604.69 $175,653.94 $2,994.95 $3,165,663.13 $0.88 2,238,306.38 $162,164,175.60 $158,998,512.47
2038-08-01 3480072 487210 205 $2,840,752.65 2,552,066.96 1,701,377.97 $58,697.54 $2,526.55 $170,384.33 $2,905.10 $3,075,266.17 $0.88 2,171,921.54 $157,299,254.40 $154,223,988.23
2038-09-01 3967282 -119018 233 $3,228,757.89 2,909,356.28 1,939,570.85 $66,915.19 $2,880.26 $194,238.13 $3,311.82 $3,496,103.29 $0.88 2,474,369.26 $179,321,146.40 $175,825,043.11
2038-10-01 3848264 -115447 226 $3,131,756.58 2,822,075.93 1,881,383.95 $64,907.75 $2,793.86 $188,411.01 $3,212.46 $3,391,081.65 $0.88 2,400,115.25 $173,941,532.80 $170,550,451.15
2038-11-01 3732817 -111984 220 $3,048,612.60 2,737,414.32 1,824,942.88 $62,960.53 $2,710.04 $182,758.72 $3,116.09 $3,300,157.98 $0.88 2,329,918.78 $168,723,328.40 $165,423,170.42
2038-12-01 3620833 -108624 213 $2,951,611.29 2,655,292.27 1,770,194.84 $61,071.72 $2,628.74 $177,275.98 $3,022.61 $3,195,610.34 $0.88 2,259,095.04 $163,661,651.60 $160,466,041.26
2039-01-01 3512209 -105366 207 $2,868,467.31 2,575,634.22 1,717,089.48 $59,239.59 $2,549.88 $171,957.75 $2,931.93 $3,105,146.46 $0.88 2,192,225.94 $158,751,846.80 $155,646,700.34
2039-02-01 3406843 476958 201 $2,785,323.33 2,498,365.40 1,665,576.93 $57,462.40 $2,473.38 $166,799.03 $2,843.97 $3,014,902.12 $0.88 2,126,945.67 $153,989,303.60 $150,974,401.48
2039-03-01 3883801 -116514 229 $3,173,328.57 2,848,136.54 1,898,757.69 $65,507.14 $2,819.66 $190,150.90 $3,242.13 $3,435,048.39 $0.88 2,424,393.80 $175,547,805.20 $172,112,756.81
2039-04-01 3767287 -113018 222 $3,076,327.26 2,762,692.46 1,841,794.97 $63,541.93 $2,735.07 $184,446.37 $3,144.87 $3,330,195.49 $0.88 2,351,360.91 $170,281,372.40 $166,951,176.91
2039-05-01 3654269 -109628 215 $2,979,325.95 2,679,812.14 1,786,541.42 $61,635.68 $2,653.01 $178,913.01 $3,050.52 $3,225,578.17 $0.88 2,280,032.92 $165,172,958.80 $161,947,380.63
2039-06-01 3544641 -106339 209 $2,896,181.97 2,599,417.82 1,732,945.22 $59,786.61 $2,573.42 $173,545.62 $2,959.00 $3,135,046.63 $0.88 2,212,674.20 $160,217,773.20 $157,082,726.57
2039-07-01 3438302 481362 202 $2,799,180.66 2,521,435.46 1,680,956.97 $57,993.02 $2,496.22 $168,339.27 $2,870.23 $3,030,879.40 $0.88 2,144,603.35 $155,411,250.40 $152,380,371.00
2039-08-01 3919664 -117589 231 $3,201,043.23 2,874,436.22 1,916,290.81 $66,112.03 $2,845.69 $191,906.75 $3,272.07 $3,465,179.77 $0.88 2,446,515.26 $177,168,812.80 $173,703,633.03
2039-09-01 3802075 -114062 224 $3,104,041.92 2,788,203.80 1,858,802.54 $64,128.69 $2,760.32 $186,149.59 $3,173.91 $3,360,254.43 $0.88 2,372,958.12 $171,853,790.00 $168,493,535.57
2039-10-01 3688013 -110640 217 $3,007,040.61 2,704,557.87 1,803,038.58 $62,204.83 $2,677.51 $180,565.12 $3,078.69 $3,255,566.76 $0.88 2,301,121.00 $166,698,187.60 $163,442,620.84
2039-11-01 3577373 -107321 211 $2,923,896.63 2,623,421.42 1,748,947.62 $60,338.69 $2,597.19 $175,148.18 $2,986.33 $3,164,967.02 $0.88 2,233,268.76 $161,697,259.60 $158,532,292.58
2039-12-01 3470052 485807 204 $2,826,895.32 2,544,718.92 1,696,479.28 $58,528.54 $2,519.27 $169,893.75 $2,896.74 $3,060,733.61 $0.88 2,164,719.01 $156,846,350.40 $153,785,616.79
2040-01-01 3955859 -118675 233 $3,228,757.89 2,900,979.36 1,933,986.24 $66,722.53 $2,871.97 $193,678.86 $3,302.28 $3,495,333.52 $0.88 2,468,798.62 $178,804,826.80 $175,309,493.28
2040-02-01 3837184 -115115 226 $3,131,756.58 2,813,950.55 1,875,967.03 $64,720.86 $2,785.81 $187,868.53 $3,203.21 $3,390,335.00 $0.88 2,394,711.87 $173,440,716.80 $170,050,381.80
2040-03-01 3722069 -111662 219 $3,034,755.27 2,729,532.41 1,819,688.27 $62,779.25 $2,702.24 $182,232.50 $3,107.12 $3,285,576.37 $0.88 2,322,361.23 $168,237,518.80 $164,951,942.43
2040-04-01 3610407 -108312 212 $2,937,753.96 2,647,646.49 1,765,097.66 $60,895.87 $2,621.17 $176,765.53 $3,013.90 $3,181,050.43 $0.88 2,251,694.51 $163,190,396.40 $160,009,345.97
2040-05-01 3502095 -105062 206 $2,854,609.98 2,568,217.25 1,712,144.83 $59,069.00 $2,542.54 $171,462.57 $2,923.49 $3,090,607.57 $0.88 2,184,977.57 $158,294,694.00 $155,204,086.43
2040-06-01 3397033 475584 200 $2,771,466.00 2,491,171.36 1,660,780.90 $57,296.94 $2,466.26 $166,318.74 $2,835.78 $3,000,383.72 $0.88 2,119,845.55 $153,545,891.60 $150,545,507.88
2040-07-01 3872617 -116178 228 $3,159,471.24 2,839,934.89 1,893,289.93 $65,318.50 $2,811.54 $189,603.33 $3,232.79 $3,420,437.40 $0.88 2,416,623.63 $175,042,288.40 $171,621,851.00
2040-08-01 3756439 -112693 221 $3,062,469.93 2,754,737.22 1,836,491.48 $63,358.96 $2,727.19 $183,915.25 $3,135.81 $3,315,607.14 $0.88 2,343,754.59 $169,791,042.80 $166,475,435.66
2040-09-01 3643746 -109312 214 $2,965,468.62 2,672,095.23 1,781,396.82 $61,458.19 $2,645.37 $178,397.80 $3,041.74 $3,211,011.72 $0.88 2,272,585.09 $164,697,319.20 $161,486,307.48
2040-10-01 3534434 -106033 208 $2,882,324.64 2,591,932.65 1,727,955.10 $59,614.45 $2,566.01 $173,045.89 $2,950.48 $3,120,501.48 $0.88 2,205,380.48 $159,756,416.80 $156,635,915.32
2040-11-01 3428401 479976 202 $2,799,180.66 2,514,174.68 1,676,116.46 $57,826.02 $2,489.03 $167,854.51 $2,861.97 $3,030,212.19 $0.88 2,139,774.93 $154,963,725.20 $151,933,513.01
2040-12-01 3908377 -117251 230 $3,187,185.90 2,866,159.04 1,910,772.69 $65,921.66 $2,837.50 $191,354.14 $3,262.65 $3,450,561.84 $0.88 2,438,694.85 $176,658,640.40 $173,208,078.56
Logistic Growth Model
The coefficients and values used in the multiple equations are listed below: