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 6% 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 47 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 1047 49 2 $27,714.66 767.80 511.87 $17.66 $0.76 $51.26 $0.87 $27,785.21 $26.54 5,142.76 $47,324.40 $19,539.19
2026-03-01 1096 51 2 $27,714.66 803.74 535.83 $18.49 $0.80 $53.66 $0.91 $27,788.52 $25.35 5,166.65 $49,539.20 $21,750.68
2026-04-01 1147 53 2 $27,714.66 841.14 560.76 $19.35 $0.83 $56.16 $0.96 $27,791.95 $24.23 5,191.52 $51,844.40 $24,052.45
2026-05-01 1200 56 2 $27,714.66 880.00 586.67 $20.24 $0.87 $58.75 $1.00 $27,795.53 $23.16 5,217.37 $54,240.00 $26,444.47
2026-06-01 1256 59 2 $27,714.66 921.07 614.05 $21.18 $0.91 $61.49 $1.05 $27,799.30 $22.13 5,244.68 $56,771.20 $28,971.90
2026-07-01 1315 61 2 $27,714.66 964.34 642.89 $22.18 $0.95 $64.38 $1.10 $27,803.27 $21.14 5,273.45 $59,438.00 $31,634.73
2026-08-01 1376 64 2 $27,714.66 1,009.07 672.71 $23.21 $1.00 $67.37 $1.15 $27,807.39 $20.21 5,303.20 $62,195.20 $34,387.81
2026-09-01 1440 67 2 $27,714.66 1,056.01 704.00 $24.29 $1.05 $70.50 $1.20 $27,811.70 $19.31 5,334.41 $65,088.00 $37,276.30
2026-10-01 1507 70 2 $27,714.66 1,105.14 736.76 $25.42 $1.09 $73.78 $1.26 $27,816.21 $18.46 5,367.08 $68,116.40 $40,300.19
2026-11-01 1577 74 2 $27,714.66 1,156.47 770.98 $26.60 $1.14 $77.21 $1.32 $27,820.93 $17.64 5,401.22 $71,280.40 $43,459.47
2026-12-01 1651 77 2 $27,714.66 1,210.74 807.16 $27.85 $1.20 $80.83 $1.38 $27,825.92 $16.85 5,437.31 $74,625.20 $46,799.28
2027-01-01 1728 81 2 $27,714.66 1,267.21 844.80 $29.15 $1.25 $84.60 $1.44 $27,831.11 $16.11 5,474.86 $78,105.60 $50,274.49
2027-02-01 1809 85 2 $27,714.66 1,326.61 884.40 $30.51 $1.31 $88.57 $1.51 $27,836.56 $15.39 5,514.36 $81,766.80 $53,930.24
2027-03-01 1894 89 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
2027-04-01 1983 93 2 $27,714.66 1,454.21 969.47 $33.45 $1.44 $97.09 $1.66 $27,848.29 $14.04 5,599.21 $89,631.60 $61,783.31
2027-05-01 2076 97 2 $27,714.66 1,522.41 1,014.94 $35.02 $1.51 $101.64 $1.73 $27,854.56 $13.42 5,644.57 $93,835.20 $65,980.64
2027-06-01 2173 102 2 $27,714.66 1,593.54 1,062.36 $36.65 $1.58 $106.39 $1.81 $27,861.09 $12.82 5,691.87 $98,219.60 $70,358.51
2027-07-01 2275 106 2 $27,714.66 1,668.34 1,112.23 $38.37 $1.65 $111.38 $1.90 $27,867.97 $12.25 5,741.61 $102,830.00 $74,962.03
2027-08-01 2381 111 2 $27,714.66 1,746.08 1,164.05 $40.16 $1.73 $116.57 $1.99 $27,875.11 $11.71 5,793.31 $107,621.20 $79,746.09
2027-09-01 2492 117 2 $27,714.66 1,827.48 1,218.32 $42.03 $1.81 $122.01 $2.08 $27,882.59 $11.19 5,847.44 $112,638.40 $84,755.81
2027-10-01 2609 122 2 $27,714.66 1,913.28 1,275.52 $44.01 $1.89 $127.74 $2.18 $27,890.47 $10.69 5,904.50 $117,926.80 $90,036.33
2027-11-01 2731 128 2 $27,714.66 2,002.74 1,335.16 $46.06 $1.98 $133.71 $2.28 $27,898.70 $10.22 5,963.99 $123,441.20 $95,542.50
2027-12-01 2859 134 2 $27,714.66 2,096.61 1,397.74 $48.22 $2.08 $139.98 $2.39 $27,907.32 $9.76 6,026.41 $129,226.80 $101,319.48
2028-01-01 2993 140 2 $27,714.66 2,194.88 1,463.25 $50.48 $2.17 $146.54 $2.50 $27,916.35 $9.33 6,091.76 $135,283.60 $107,367.25
2028-02-01 3133 147 2 $27,714.66 2,297.55 1,531.70 $52.84 $2.27 $153.39 $2.62 $27,925.79 $8.91 6,160.03 $141,611.60 $113,685.81
2028-03-01 3280 154 2 $27,714.66 2,405.35 1,603.56 $55.32 $2.38 $160.59 $2.74 $27,935.69 $8.52 6,231.72 $148,256.00 $120,320.31
2028-04-01 3434 161 2 $27,714.66 2,518.28 1,678.85 $57.92 $2.49 $168.13 $2.87 $27,946.07 $8.14 6,306.82 $155,216.80 $127,270.73
2028-05-01 3595 168 2 $27,714.66 2,636.35 1,757.57 $60.64 $2.61 $176.01 $3.00 $27,956.92 $7.78 6,385.34 $162,494.00 $134,537.08
2028-06-01 3763 176 2 $27,714.66 2,759.55 1,839.70 $63.47 $2.73 $184.24 $3.14 $27,968.24 $7.43 6,467.27 $170,087.60 $142,119.36
2028-07-01 3939 185 2 $27,714.66 2,888.62 1,925.74 $66.44 $2.86 $192.85 $3.29 $27,980.10 $7.10 6,553.10 $178,042.80 $150,062.70
2028-08-01 4124 193 2 $27,714.66 3,024.28 2,016.19 $69.56 $2.99 $201.91 $3.44 $27,992.57 $6.79 6,643.31 $186,404.80 $158,412.23
2028-09-01 4317 202 2 $27,714.66 3,165.82 2,110.55 $72.81 $3.13 $211.36 $3.60 $28,005.57 $6.49 6,737.43 $195,128.40 $167,122.83
2028-10-01 4519 212 2 $27,714.66 3,313.95 2,209.30 $76.22 $3.28 $221.25 $3.77 $28,019.18 $6.20 6,835.94 $204,258.80 $176,239.62
2028-11-01 4731 222 2 $27,714.66 3,469.42 2,312.95 $79.80 $3.43 $231.63 $3.95 $28,033.47 $5.93 6,939.33 $213,841.20 $185,807.73
2028-12-01 4953 232 2 $27,714.66 3,632.22 2,421.48 $83.54 $3.60 $242.50 $4.13 $28,048.43 $5.66 7,047.59 $223,875.60 $195,827.17
2029-01-01 5185 243 2 $27,714.66 3,802.35 2,534.90 $87.45 $3.76 $253.86 $4.33 $28,064.06 $5.41 7,160.73 $234,362.00 $206,297.94
2029-02-01 5428 255 2 $27,714.66 3,980.56 2,653.70 $91.55 $3.94 $265.75 $4.53 $28,080.44 $5.17 7,279.24 $245,345.60 $217,265.16
2029-03-01 5683 267 2 $27,714.66 4,167.56 2,778.37 $95.85 $4.13 $278.24 $4.74 $28,097.62 $4.94 7,403.59 $256,871.60 $228,773.98
2029-04-01 5950 279 2 $27,714.66 4,363.36 2,908.91 $100.36 $4.32 $291.31 $4.97 $28,115.62 $4.73 7,533.80 $268,940.00 $240,824.38
2029-05-01 6229 292 2 $27,714.66 4,567.96 3,045.31 $105.06 $4.52 $304.97 $5.20 $28,134.42 $4.52 7,669.86 $281,550.80 $253,416.38
2029-06-01 6521 306 2 $27,714.66 4,782.09 3,188.06 $109.99 $4.73 $319.27 $5.44 $28,154.09 $4.32 7,812.26 $294,749.20 $266,595.11
2029-07-01 6827 320 2 $27,714.66 5,006.49 3,337.66 $115.15 $4.96 $334.25 $5.70 $28,174.71 $4.13 7,961.48 $308,580.40 $280,405.69
2029-08-01 7147 335 2 $27,714.66 5,241.16 3,494.11 $120.55 $5.19 $349.92 $5.97 $28,196.28 $3.95 8,117.54 $323,044.40 $294,848.12
2029-09-01 7482 351 2 $27,714.66 5,486.83 3,657.89 $126.20 $5.43 $366.32 $6.25 $28,218.85 $3.77 8,280.91 $338,186.40 $309,967.55
2029-10-01 7833 368 2 $27,714.66 5,744.23 3,829.49 $132.12 $5.69 $383.50 $6.54 $28,242.51 $3.61 8,452.08 $354,051.60 $325,809.09
2029-11-01 8201 385 2 $27,714.66 6,014.10 4,009.40 $138.32 $5.95 $401.52 $6.85 $28,267.31 $3.45 8,631.54 $370,685.20 $342,417.89
2029-12-01 8586 403 2 $27,714.66 6,296.43 4,197.62 $144.82 $6.23 $420.37 $7.17 $28,293.25 $3.30 8,819.30 $388,087.20 $359,793.95
2030-01-01 8989 422 2 $27,714.66 6,591.97 4,394.65 $151.62 $6.53 $440.10 $7.50 $28,320.41 $3.15 9,015.83 $406,302.80 $377,982.39
2030-02-01 9411 442 2 $27,714.66 6,901.44 4,600.96 $158.73 $6.83 $460.76 $7.86 $28,348.84 $3.01 9,221.62 $425,377.20 $397,028.36
2030-03-01 9853 463 2 $27,714.66 7,225.57 4,817.05 $166.19 $7.15 $482.40 $8.23 $28,378.63 $2.88 9,437.17 $445,355.60 $416,976.97
2030-04-01 10316 484 2 $27,714.66 7,565.11 5,043.41 $174.00 $7.49 $505.07 $8.61 $28,409.83 $2.75 9,662.96 $466,283.20 $437,873.37
2030-05-01 10800 507 2 $27,714.66 7,920.04 5,280.03 $182.16 $7.84 $528.77 $9.02 $28,442.45 $2.63 9,899.00 $488,160.00 $459,717.55
2030-06-01 11307 531 2 $27,714.66 8,291.85 5,527.90 $190.71 $8.21 $553.59 $9.44 $28,476.61 $2.52 10,146.24 $511,076.40 $482,599.79
2030-07-01 11838 556 2 $27,714.66 8,681.25 5,787.50 $199.67 $8.59 $579.59 $9.88 $28,512.39 $2.41 10,405.20 $535,077.60 $506,565.21
2030-08-01 12394 582 2 $27,714.66 9,088.98 6,059.32 $209.05 $9.00 $606.81 $10.35 $28,549.86 $2.30 10,676.34 $560,208.80 $531,658.94
2030-09-01 12976 609 2 $27,714.66 9,515.79 6,343.86 $218.86 $9.42 $635.30 $10.83 $28,589.08 $2.20 10,960.16 $586,515.20 $557,926.12
2030-10-01 13585 638 2 $27,714.66 9,962.39 6,641.59 $229.13 $9.86 $665.12 $11.34 $28,630.12 $2.11 11,257.15 $614,042.00 $585,411.88
2030-11-01 14223 668 2 $27,714.66 10,430.26 6,953.51 $239.90 $10.33 $696.36 $11.87 $28,673.11 $2.02 11,568.29 $642,879.60 $614,206.49
2030-12-01 14891 699 2 $27,714.66 10,920.13 7,280.08 $251.16 $10.81 $729.06 $12.43 $28,718.13 $1.93 11,894.05 $673,073.20 $644,355.07
2031-01-01 15590 732 2 $27,714.66 11,432.73 7,621.82 $262.95 $11.32 $763.29 $13.01 $28,765.23 $1.85 12,234.93 $704,668.00 $675,902.77
2031-02-01 16322 767 2 $27,714.66 11,969.53 7,979.69 $275.30 $11.85 $799.13 $13.63 $28,814.56 $1.77 12,591.91 $737,754.40 $708,939.84
2031-03-01 17089 803 2 $27,714.66 12,532.00 8,354.67 $288.24 $12.41 $836.68 $14.27 $28,866.25 $1.69 12,965.95 $772,422.80 $743,556.55
2031-04-01 17892 840 2 $27,714.66 13,120.87 8,747.25 $301.78 $12.99 $875.99 $14.94 $28,920.36 $1.62 13,357.55 $808,718.40 $779,798.04
2031-05-01 18732 880 2 $27,714.66 13,736.88 9,157.92 $315.95 $13.60 $917.12 $15.64 $28,976.96 $1.55 13,767.19 $846,686.40 $817,709.44
2031-06-01 19612 921 2 $27,714.66 14,382.21 9,588.14 $330.79 $14.24 $960.20 $16.37 $29,036.26 $1.48 14,196.34 $886,462.40 $857,426.14
2031-07-01 20533 965 2 $27,714.66 15,057.62 10,038.41 $346.33 $14.91 $1,005.30 $17.14 $29,098.33 $1.42 14,645.48 $928,091.60 $898,993.27
2031-08-01 21498 1010 2 $27,714.66 15,765.29 10,510.19 $362.60 $15.61 $1,052.54 $17.95 $29,163.36 $1.36 15,116.08 $971,709.60 $942,546.24
2031-09-01 22508 1057 2 $27,714.66 16,505.96 11,003.97 $379.64 $16.34 $1,101.99 $18.79 $29,231.42 $1.30 15,608.63 $1,017,361.60 $988,130.18
2031-10-01 23565 1107 2 $27,714.66 17,281.10 11,520.73 $397.47 $17.11 $1,153.74 $19.67 $29,302.65 $1.24 16,124.09 $1,065,138.00 $1,035,835.35
2031-11-01 24672 1159 2 $27,714.66 18,092.90 12,061.93 $416.14 $17.91 $1,207.94 $20.60 $29,377.25 $1.19 16,663.94 $1,115,174.40 $1,085,797.15
2031-12-01 25831 1214 2 $27,714.66 18,942.84 12,628.56 $435.69 $18.75 $1,264.69 $21.56 $29,455.35 $1.14 17,229.15 $1,167,561.20 $1,138,105.85
2032-01-01 27045 1271 2 $27,714.66 19,833.11 13,222.07 $456.16 $19.63 $1,324.12 $22.58 $29,537.16 $1.09 17,821.18 $1,222,434.00 $1,192,896.84
2032-02-01 28316 1330 2 $27,714.66 20,765.18 13,843.45 $477.60 $20.56 $1,386.35 $23.64 $29,622.81 $1.05 18,441.01 $1,279,883.20 $1,250,260.39
2032-03-01 29646 1393 2 $27,714.66 21,740.52 14,493.68 $500.03 $21.52 $1,451.47 $24.75 $29,712.43 $1.00 19,089.61 $1,339,999.20 $1,310,286.77
2032-04-01 31039 1458 2 $27,714.66 22,762.06 15,174.71 $523.53 $22.53 $1,519.67 $25.91 $29,806.30 $0.96 19,768.94 $1,402,962.80 $1,373,156.50
2032-05-01 32497 1527 2 $27,714.66 23,831.27 15,887.51 $548.12 $23.59 $1,591.05 $27.13 $29,904.55 $0.92 20,479.96 $1,468,864.40 $1,438,959.85
2032-06-01 34024 1599 2 $27,714.66 24,951.07 16,634.05 $573.87 $24.70 $1,665.82 $28.40 $30,007.45 $0.88 21,224.63 $1,537,884.80 $1,507,877.35
2032-07-01 35623 1674 3 $41,571.99 26,123.68 17,415.79 $600.84 $25.86 $1,744.10 $29.74 $43,972.54 $1.23 24,320.50 $1,610,159.60 $1,566,187.06
2032-08-01 37297 1752 3 $41,571.99 27,351.29 18,234.19 $629.08 $27.08 $1,826.06 $31.13 $44,085.34 $1.18 25,136.85 $1,685,824.40 $1,641,739.06
2032-09-01 39049 1835 3 $41,571.99 28,636.09 19,090.73 $658.63 $28.35 $1,911.84 $32.60 $44,203.41 $1.13 25,991.25 $1,765,014.80 $1,720,811.39
2032-10-01 40884 1921 3 $41,571.99 29,981.77 19,987.84 $689.58 $29.68 $2,001.68 $34.13 $44,327.06 $1.08 26,886.12 $1,847,956.80 $1,803,629.74
2032-11-01 42805 2011 3 $41,571.99 31,390.51 20,927.01 $721.98 $31.08 $2,095.73 $35.73 $44,456.51 $1.04 27,822.94 $1,934,786.00 $1,890,329.49
2032-12-01 44816 2106 3 $41,571.99 32,865.25 21,910.17 $755.90 $32.54 $2,194.19 $37.41 $44,592.03 $1.00 28,803.64 $2,025,683.20 $1,981,091.17
2033-01-01 46922 2205 3 $41,571.99 34,409.66 22,939.77 $791.42 $34.07 $2,297.30 $39.17 $44,733.95 $0.95 29,830.67 $2,120,874.40 $2,076,140.45
2033-02-01 49127 2308 3 $41,571.99 36,026.67 24,017.78 $828.61 $35.67 $2,405.26 $41.01 $44,882.54 $0.91 30,905.98 $2,220,540.40 $2,175,657.86
2033-03-01 51435 2417 4 $55,429.32 37,719.21 25,146.14 $867.54 $37.34 $2,518.26 $42.94 $58,895.40 $1.15 34,347.61 $2,324,862.00 $2,265,966.60
2033-04-01 53852 2531 4 $55,429.32 39,491.69 26,327.79 $908.31 $39.10 $2,636.59 $44.95 $59,058.27 $1.10 35,526.30 $2,434,110.40 $2,375,052.13
2033-05-01 56383 2650 4 $55,429.32 41,347.76 27,565.18 $951.00 $40.93 $2,760.51 $47.07 $59,228.83 $1.05 36,760.59 $2,548,511.60 $2,489,282.77
2033-06-01 59033 2774 4 $55,429.32 43,291.11 28,860.74 $995.70 $42.86 $2,890.26 $49.28 $59,407.41 $1.01 38,052.92 $2,668,291.60 $2,608,884.19
2033-07-01 61807 2904 4 $55,429.32 45,325.38 30,216.92 $1,042.48 $44.87 $3,026.07 $51.60 $59,594.34 $0.96 39,405.71 $2,793,676.40 $2,734,082.06
2033-08-01 64711 3041 4 $55,429.32 47,455.00 31,636.66 $1,091.46 $46.98 $3,168.25 $54.02 $59,790.04 $0.92 40,821.90 $2,924,937.20 $2,865,147.16
2033-09-01 67752 3184 4 $55,429.32 49,685.08 33,123.38 $1,142.76 $49.19 $3,317.14 $56.56 $59,994.96 $0.89 42,304.91 $3,062,390.40 $3,002,395.44
2033-10-01 70936 3333 5 $69,286.65 52,020.02 34,680.01 $1,196.46 $51.50 $3,473.03 $59.22 $74,066.85 $1.04 46,173.73 $3,206,307.20 $3,132,240.35
2033-11-01 74269 3490 5 $69,286.65 54,464.24 36,309.49 $1,252.68 $53.92 $3,636.21 $62.00 $74,291.46 $1.00 47,799.13 $3,356,958.80 $3,282,667.34
2033-12-01 77759 3654 5 $69,286.65 57,023.58 38,015.72 $1,311.54 $56.45 $3,807.08 $64.91 $74,526.64 $0.96 49,501.10 $3,514,706.80 $3,440,180.16
2034-01-01 81413 3826 5 $69,286.65 59,703.20 39,802.13 $1,373.17 $59.11 $3,985.98 $67.96 $74,772.87 $0.92 51,283.04 $3,679,867.60 $3,605,094.73
2034-02-01 85239 4006 6 $83,143.98 62,508.95 41,672.63 $1,437.71 $61.88 $4,173.30 $71.16 $88,888.03 $1.04 55,464.95 $3,852,802.80 $3,763,914.77
2034-03-01 89245 4194 6 $83,143.98 65,446.70 43,631.13 $1,505.27 $64.79 $4,369.44 $74.50 $89,157.98 $1.00 57,418.55 $4,033,874.00 $3,944,716.02
2034-04-01 93439 4391 6 $83,143.98 68,522.31 45,681.54 $1,576.01 $67.84 $4,574.77 $78.00 $89,440.60 $0.96 59,463.84 $4,223,442.80 $4,134,002.20
2034-05-01 97830 4598 6 $83,143.98 71,742.40 47,828.27 $1,650.08 $71.02 $4,789.76 $81.67 $89,736.50 $0.92 61,605.19 $4,421,916.00 $4,332,179.50
2034-06-01 102428 4814 7 $97,001.31 75,114.28 50,076.19 $1,727.63 $74.36 $5,014.87 $85.51 $103,903.68 $1.01 66,163.58 $4,629,745.60 $4,525,841.92
2034-07-01 107242 5040 7 $97,001.31 78,644.57 52,429.71 $1,808.83 $77.86 $5,250.57 $89.52 $104,228.09 $0.97 68,511.22 $4,847,338.40 $4,743,110.31
2034-08-01 112282 5277 7 $97,001.31 82,340.59 54,893.73 $1,893.83 $81.52 $5,497.33 $93.73 $104,567.72 $0.93 70,969.07 $5,075,146.40 $4,970,578.68
2034-09-01 117559 5525 7 $97,001.31 86,210.41 57,473.61 $1,982.84 $85.35 $5,755.69 $98.14 $104,923.32 $0.89 73,542.50 $5,313,666.80 $5,208,743.48
2034-10-01 123084 5784 8 $110,858.64 90,262.10 60,174.73 $2,076.03 $89.36 $6,026.19 $102.75 $119,152.97 $0.97 78,552.96 $5,563,396.80 $5,444,243.83
2034-11-01 128868 6056 8 $110,858.64 94,503.72 63,002.48 $2,173.59 $93.56 $6,309.38 $107.58 $119,542.74 $0.93 81,373.64 $5,824,833.60 $5,705,290.86
2034-12-01 134924 6341 8 $110,858.64 98,944.82 65,963.21 $2,275.73 $97.96 $6,605.88 $112.63 $119,950.84 $0.89 84,326.97 $6,098,564.80 $5,978,613.96
2035-01-01 141265 6639 9 $124,715.97 103,594.91 69,063.27 $2,382.68 $102.56 $6,916.33 $117.93 $134,235.47 $0.95 89,735.36 $6,385,178.00 $6,250,942.53
2035-02-01 147904 6951 9 $124,715.97 108,463.54 72,309.02 $2,494.66 $107.38 $7,241.38 $123.47 $134,682.86 $0.91 92,973.00 $6,685,260.80 $6,550,577.94
2035-03-01 154855 7278 10 $138,573.30 113,560.96 75,707.31 $2,611.90 $112.43 $7,581.70 $129.27 $149,008.60 $0.96 98,678.87 $6,999,446.00 $6,850,437.40
2035-04-01 162133 7620 10 $138,573.30 118,898.19 79,265.46 $2,734.66 $117.71 $7,938.03 $135.35 $149,499.05 $0.92 102,228.13 $7,328,411.60 $7,178,912.55
2035-05-01 169753 7978 10 $138,573.30 124,486.22 82,990.82 $2,863.18 $123.24 $8,311.11 $141.71 $150,012.54 $0.88 105,944.17 $7,672,835.60 $7,522,823.06
2035-06-01 177731 8353 11 $152,430.63 130,336.79 86,891.19 $2,997.75 $129.03 $8,701.71 $148.37 $164,407.49 $0.93 112,150.88 $8,033,441.20 $7,869,033.71
2035-07-01 186084 8745 11 $152,430.63 136,462.36 90,974.90 $3,138.63 $135.10 $9,110.67 $155.34 $164,970.37 $0.89 116,224.38 $8,410,996.80 $8,246,026.43
2035-08-01 194829 9156 12 $166,287.96 142,875.39 95,250.26 $3,286.13 $141.45 $9,538.83 $162.64 $179,417.01 $0.92 122,805.13 $8,806,270.80 $8,626,853.79
2035-09-01 203985 9587 12 $166,287.96 149,589.83 99,726.55 $3,440.57 $148.09 $9,987.11 $170.28 $180,034.01 $0.88 127,270.23 $9,220,122.00 $9,040,087.99
2035-10-01 213572 10037 13 $180,145.29 156,620.34 104,413.56 $3,602.27 $155.05 $10,456.49 $178.29 $194,537.38 $0.91 134,261.60 $9,653,454.40 $9,458,917.02
2035-11-01 223609 10509 14 $194,002.62 163,980.84 109,320.56 $3,771.56 $162.34 $10,947.90 $186.66 $209,071.08 $0.93 141,472.42 $10,107,126.80 $9,898,055.72
2035-12-01 234118 11003 14 $194,002.62 171,687.49 114,458.32 $3,948.81 $169.97 $11,462.42 $195.44 $209,779.26 $0.90 146,597.34 $10,582,133.60 $10,372,354.34
2036-01-01 245121 11520 15 $207,859.95 179,756.40 119,837.60 $4,134.40 $177.96 $12,001.12 $204.62 $224,378.05 $0.92 154,279.25 $11,079,469.20 $10,855,091.15
2036-02-01 256641 12062 16 $221,717.28 188,204.44 125,469.63 $4,328.70 $186.32 $12,565.14 $214.24 $239,011.69 $0.93 162,213.28 $11,600,173.20 $11,361,161.51
2036-03-01 268703 12629 16 $221,717.28 197,049.96 131,366.64 $4,532.15 $195.08 $13,155.70 $224.31 $239,824.52 $0.89 168,095.55 $12,145,375.60 $11,905,551.08
2036-04-01 281332 13222 17 $235,574.61 206,311.28 137,540.85 $4,745.16 $204.25 $13,774.01 $234.85 $254,532.88 $0.90 176,570.41 $12,716,206.40 $12,461,673.52
2036-05-01 294554 13844 18 $249,431.94 216,007.47 144,004.98 $4,968.17 $213.85 $14,421.36 $245.89 $269,281.21 $0.91 185,334.46 $13,313,840.80 $13,044,559.59
2036-06-01 308398 14494 19 $263,289.27 226,159.79 150,773.19 $5,201.68 $223.90 $15,099.17 $257.45 $284,071.45 $0.92 194,401.84 $13,939,589.60 $13,655,518.15
2036-07-01 322892 15175 19 $263,289.27 236,788.78 157,859.19 $5,446.14 $234.42 $15,808.79 $269.54 $285,048.17 $0.88 201,470.12 $14,594,718.40 $14,309,670.23
2036-08-01 338067 15889 20 $277,146.60 247,917.18 165,278.12 $5,702.10 $245.44 $16,551.76 $282.21 $299,928.11 $0.89 211,186.58 $15,280,628.40 $14,980,700.29
2036-09-01 353956 16635 21 $291,003.93 259,569.17 173,046.12 $5,970.09 $256.97 $17,329.69 $295.48 $314,856.16 $0.89 221,251.24 $15,998,811.20 $15,683,955.04
2036-10-01 370591 17417 22 $304,861.26 271,768.24 181,178.83 $6,250.67 $269.05 $18,144.14 $309.36 $329,834.48 $0.89 231,679.71 $16,750,713.20 $16,420,878.72
2036-11-01 388008 18236 23 $318,718.59 284,540.78 189,693.85 $6,544.44 $281.70 $18,996.87 $323.90 $344,865.50 $0.89 242,489.53 $17,537,961.60 $17,193,096.10
2036-12-01 406244 19093 24 $332,575.92 297,913.92 198,609.28 $6,852.02 $294.93 $19,889.71 $339.13 $359,951.71 $0.89 253,698.75 $18,362,228.80 $18,002,277.09
2037-01-01 425337 19990 25 $346,433.25 311,915.53 207,943.69 $7,174.06 $308.80 $20,824.50 $355.06 $375,095.67 $0.88 265,325.90 $19,225,232.40 $18,850,136.73
2037-02-01 445327 20930 27 $374,147.91 326,574.95 217,716.63 $7,511.22 $323.31 $21,803.21 $371.75 $404,157.40 $0.91 279,706.58 $20,128,780.40 $19,724,623.00
2037-03-01 466257 21914 28 $388,005.24 341,923.70 227,949.13 $7,864.25 $338.50 $22,827.94 $389.22 $419,425.16 $0.90 292,229.58 $21,074,816.40 $20,655,391.24
2037-04-01 488171 22944 29 $401,862.57 357,994.05 238,662.70 $8,233.86 $354.41 $23,900.85 $407.52 $434,759.22 $0.89 305,232.45 $22,065,329.20 $21,630,569.98
2037-05-01 511115 24022 31 $429,577.23 374,819.75 249,879.83 $8,620.85 $371.07 $25,024.19 $426.67 $464,020.02 $0.91 321,053.70 $23,102,398.00 $22,638,377.98
2037-06-01 535137 25151 32 $443,434.56 392,435.98 261,623.98 $9,026.03 $388.51 $26,200.31 $446.72 $479,496.13 $0.90 335,084.58 $24,188,192.40 $23,708,696.27
2037-07-01 560288 26333 33 $457,291.89 410,880.15 273,920.10 $9,450.24 $406.77 $27,431.70 $467.72 $495,048.32 $0.88 349,666.04 $25,325,017.60 $24,829,969.28
2037-08-01 586621 27571 35 $485,006.55 430,191.12 286,794.08 $9,894.40 $425.89 $28,720.96 $489.70 $524,537.50 $0.89 367,140.00 $26,515,269.20 $25,990,731.70
2037-09-01 614192 28867 37 $512,721.21 450,409.97 300,273.31 $10,359.43 $445.91 $30,070.84 $512.72 $554,110.10 $0.90 385,217.70 $27,761,478.40 $27,207,368.30
2037-10-01 643059 30223 38 $526,578.54 471,579.22 314,386.14 $10,846.32 $466.86 $31,484.17 $536.81 $569,912.71 $0.89 401,611.33 $29,066,266.80 $28,496,354.09
2037-11-01 673282 31644 40 $554,293.20 493,742.87 329,161.92 $11,356.09 $488.81 $32,963.89 $562.04 $599,664.02 $0.89 420,982.33 $30,432,346.40 $29,832,682.38
2037-12-01 704926 33131 42 $582,007.86 516,948.60 344,632.40 $11,889.82 $511.78 $34,513.18 $588.46 $629,511.09 $0.89 441,046.31 $31,862,655.20 $31,233,144.11
2038-01-01 738057 34688 44 $609,722.52 541,244.80 360,829.87 $12,448.63 $535.83 $36,135.27 $616.12 $659,458.37 $0.89 461,835.45 $33,360,176.40 $32,700,718.03
2038-02-01 772745 36319 46 $637,437.18 566,682.81 377,788.54 $13,033.70 $561.02 $37,833.60 $645.07 $689,510.57 $0.89 483,383.89 $34,928,074.00 $34,238,563.43
2038-03-01 809064 38026 48 $665,151.84 593,316.89 395,544.59 $13,646.29 $587.38 $39,611.77 $675.39 $719,672.68 $0.89 505,727.72 $36,569,692.80 $35,850,020.12
2038-04-01 847090 39813 50 $692,866.50 621,202.78 414,135.19 $14,287.66 $614.99 $41,473.53 $707.14 $749,949.82 $0.89 528,904.00 $38,288,468.00 $37,538,518.18
2038-05-01 886903 41684 53 $734,438.49 650,399.14 433,599.43 $14,959.18 $643.90 $43,422.77 $740.37 $794,204.71 $0.90 555,267.83 $40,088,015.60 $39,293,810.89
2038-06-01 928587 43643 55 $762,153.15 680,967.58 453,978.39 $15,662.25 $674.16 $45,463.62 $775.17 $824,728.35 $0.89 580,228.00 $41,972,132.40 $41,147,404.05
2038-07-01 972230 45694 58 $803,725.14 712,972.62 475,315.08 $16,398.37 $705.84 $47,600.38 $811.60 $869,241.33 $0.89 608,459.61 $43,944,796.00 $43,075,554.67
2038-08-01 1017924 47842 60 $831,439.80 746,481.74 497,654.49 $17,169.08 $739.02 $49,837.56 $849.75 $900,035.20 $0.88 635,375.34 $46,010,164.80 $45,110,129.60
2038-09-01 1065766 50091 63 $873,011.79 781,566.07 521,044.05 $17,976.02 $773.75 $52,179.90 $889.68 $944,831.15 $0.89 665,654.67 $48,172,623.20 $47,227,792.05
2038-10-01 1115857 52445 66 $914,583.78 818,299.67 545,533.12 $18,820.89 $810.12 $54,632.36 $931.50 $989,778.65 $0.89 697,030.76 $50,436,736.40 $49,446,957.75
2038-11-01 1168302 54910 69 $956,155.77 856,759.55 571,173.04 $19,705.47 $848.19 $57,200.07 $975.28 $1,034,884.78 $0.89 729,554.83 $52,807,250.40 $51,772,365.62
2038-12-01 1223212 57490 72 $997,727.76 897,027.11 598,018.07 $20,631.62 $888.06 $59,888.46 $1,021.12 $1,080,157.02 $0.88 763,281.00 $55,289,182.40 $54,209,025.38
2039-01-01 1280702 60192 76 $1,053,157.08 939,186.68 626,124.45 $21,601.29 $929.79 $62,703.17 $1,069.11 $1,139,460.45 $0.89 800,581.45 $57,887,730.40 $56,748,269.95
2039-02-01 1340894 63022 79 $1,094,729.07 983,327.72 655,551.82 $22,616.54 $973.49 $65,650.17 $1,119.35 $1,185,088.63 $0.88 836,883.49 $60,608,408.80 $59,423,320.17
2039-03-01 1403916 65984 83 $1,150,158.39 1,029,544.11 686,362.74 $23,679.51 $1,019.25 $68,735.73 $1,171.96 $1,244,764.85 $0.89 876,881.72 $63,457,003.20 $62,212,238.35
2039-04-01 1469900 69085 87 $1,205,587.71 1,077,932.65 718,621.77 $24,792.45 $1,067.15 $71,966.30 $1,227.05 $1,304,640.67 $0.89 918,324.43 $66,439,480.00 $65,134,839.33
2039-05-01 1538985 72332 91 $1,261,017.03 1,128,595.26 752,396.84 $25,957.69 $1,117.31 $75,348.71 $1,284.72 $1,364,725.45 $0.89 961,279.40 $69,562,122.00 $68,197,396.55
2039-06-01 1611317 75731 95 $1,316,446.35 1,181,639.02 787,759.35 $27,177.70 $1,169.82 $78,890.08 $1,345.10 $1,425,029.05 $0.88 1,005,817.84 $72,831,528.40 $71,406,499.35
2039-07-01 1687048 79291 100 $1,385,733.00 1,237,175.40 824,783.60 $28,455.03 $1,224.80 $82,597.87 $1,408.32 $1,499,419.03 $0.89 1,054,329.94 $76,254,569.60 $74,755,150.57
2039-08-01 1766339 83017 104 $1,441,162.32 1,295,322.45 863,548.30 $29,792.42 $1,282.37 $86,479.96 $1,474.51 $1,560,191.57 $0.88 1,102,262.06 $79,838,522.80 $78,278,331.23
2039-09-01 1849356 86919 109 $1,510,448.97 1,356,201.93 904,134.62 $31,192.64 $1,342.64 $90,544.47 $1,543.81 $1,635,072.53 $0.88 1,154,327.33 $83,590,891.20 $81,955,818.67
2039-10-01 1936275 91004 114 $1,579,735.62 1,419,942.88 946,628.59 $32,658.69 $1,405.74 $94,800.02 $1,616.37 $1,710,216.44 $0.88 1,208,295.48 $87,519,630.00 $85,809,413.56
2039-11-01 2027279 95282 120 $1,662,879.60 1,486,679.52 991,119.68 $34,193.63 $1,471.81 $99,255.58 $1,692.34 $1,799,492.96 $0.89 1,266,571.84 $91,633,010.80 $89,833,517.84
2039-12-01 2122561 99760 125 $1,732,166.25 1,556,553.37 1,037,702.25 $35,800.73 $1,540.99 $103,920.59 $1,771.88 $1,875,200.43 $0.88 1,324,618.37 $95,939,757.20 $94,064,556.77
2040-01-01 2222321 104449 131 $1,815,310.23 1,629,711.11 1,086,474.07 $37,483.36 $1,613.41 $108,804.84 $1,855.15 $1,965,066.99 $0.88 1,387,164.76 $100,448,909.20 $98,483,842.21
2040-02-01 2326770 109358 137 $1,898,454.21 1,706,307.47 1,137,538.31 $39,245.07 $1,689.24 $113,918.66 $1,942.35 $2,055,249.53 $0.88 1,451,997.84 $105,170,004.00 $103,114,754.47
2040-03-01 2436128 114498 144 $1,995,455.52 1,786,503.78 1,191,002.52 $41,089.59 $1,768.64 $119,272.83 $2,033.64 $2,159,620.21 $0.89 1,521,540.97 $110,112,985.60 $107,953,365.39
2040-04-01 2550626 119879 150 $2,078,599.50 1,870,469.45 1,246,979.63 $43,020.80 $1,851.76 $124,878.65 $2,129.22 $2,250,479.93 $0.88 1,591,274.63 $115,288,295.20 $113,037,815.27
2040-05-01 2670505 125513 157 $2,175,600.81 1,958,381.20 1,305,587.47 $45,042.77 $1,938.80 $130,747.92 $2,229.29 $2,355,559.59 $0.88 1,665,948.53 $120,706,826.00 $118,351,266.41
2040-06-01 2796018 131412 165 $2,286,459.45 2,050,424.58 1,366,949.72 $47,159.77 $2,029.92 $136,893.04 $2,334.07 $2,474,876.24 $0.89 1,745,686.04 $126,380,013.60 $123,905,137.36
2040-07-01 2927430 137589 172 $2,383,460.76 2,146,793.91 1,431,195.94 $49,376.26 $2,125.33 $143,326.97 $2,443.77 $2,580,733.09 $0.88 1,825,984.23 $132,319,836.00 $129,739,102.91
2040-08-01 3065019 144055 180 $2,494,319.40 2,247,693.07 1,498,462.05 $51,696.94 $2,225.22 $150,063.33 $2,558.62 $2,700,863.51 $0.88 1,911,610.83 $138,538,858.80 $135,837,995.29
2040-09-01 3209074 150826 189 $2,619,035.37 2,353,333.99 1,568,889.33 $54,126.68 $2,329.80 $157,116.26 $2,678.88 $2,835,286.99 $0.88 2,002,706.79 $145,050,144.80 $142,214,857.81
2040-10-01 3359900 157915 198 $2,743,751.34 2,463,940.34 1,642,626.89 $56,670.63 $2,439.30 $164,500.70 $2,804.79 $2,970,166.76 $0.88 2,097,104.76 $151,867,480.00 $148,897,313.24
2040-11-01 3517815 -45731 207 $2,868,467.31 2,579,745.31 1,719,830.21 $59,334.14 $2,553.95 $172,232.22 $2,936.61 $3,105,524.23 $0.88 2,194,959.81 $159,005,238.00 $155,899,713.77
2040-12-01 3472084 163187 204 $2,826,895.32 2,546,209.06 1,697,472.71 $58,562.81 $2,520.75 $169,993.23 $2,898.44 $3,060,870.54 $0.88 2,165,709.96 $156,938,196.80 $153,877,326.26
Logistic Growth Model
The coefficients and values used in the multiple equations are listed below: