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 2% 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 50 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 1050 52 2 $27,714.66 770.00 513.34 $17.71 $0.76 $51.41 $0.88 $27,785.42 $26.46 5,144.22 $47,460.00 $19,674.58
2026-03-01 1102 55 2 $27,714.66 808.14 538.76 $18.59 $0.80 $53.95 $0.92 $27,788.92 $25.22 5,169.58 $49,810.40 $22,021.48
2026-04-01 1157 57 2 $27,714.66 848.47 565.65 $19.51 $0.84 $56.65 $0.97 $27,792.63 $24.02 5,196.40 $52,296.40 $24,503.77
2026-05-01 1214 60 2 $27,714.66 890.27 593.51 $20.48 $0.88 $59.44 $1.01 $27,796.47 $22.90 5,224.20 $54,872.80 $27,076.33
2026-06-01 1274 63 2 $27,714.66 934.27 622.85 $21.49 $0.92 $62.38 $1.06 $27,800.51 $21.82 5,253.46 $57,584.80 $29,784.29
2026-07-01 1337 66 2 $27,714.66 980.47 653.65 $22.55 $0.97 $65.46 $1.12 $27,804.76 $20.80 5,284.18 $60,432.40 $32,627.64
2026-08-01 1403 70 2 $27,714.66 1,028.87 685.91 $23.66 $1.02 $68.69 $1.17 $27,809.20 $19.82 5,316.37 $63,415.60 $35,606.40
2026-09-01 1473 73 2 $27,714.66 1,080.21 720.14 $24.84 $1.07 $72.12 $1.23 $27,813.92 $18.88 5,350.50 $66,579.60 $38,765.68
2026-10-01 1546 77 2 $27,714.66 1,133.74 755.83 $26.08 $1.12 $75.69 $1.29 $27,818.84 $17.99 5,386.10 $69,879.20 $42,060.36
2026-11-01 1623 81 2 $27,714.66 1,190.21 793.47 $27.37 $1.18 $79.46 $1.35 $27,824.03 $17.14 5,423.65 $73,359.60 $45,535.57
2026-12-01 1704 85 2 $27,714.66 1,249.61 833.07 $28.74 $1.24 $83.43 $1.42 $27,829.49 $16.33 5,463.15 $77,020.80 $49,191.31
2027-01-01 1789 89 2 $27,714.66 1,311.94 874.63 $30.17 $1.30 $87.59 $1.49 $27,835.22 $15.56 5,504.61 $80,862.80 $53,027.58
2027-02-01 1878 93 2 $27,714.66 1,377.21 918.14 $31.68 $1.36 $91.95 $1.57 $27,841.21 $14.82 5,548.01 $84,885.60 $57,044.39
2027-03-01 1971 98 2 $27,714.66 1,445.41 963.61 $33.24 $1.43 $96.50 $1.65 $27,847.48 $14.13 5,593.36 $89,089.20 $61,241.72
2027-04-01 2069 103 2 $27,714.66 1,517.28 1,011.52 $34.90 $1.50 $101.30 $1.73 $27,854.08 $13.46 5,641.15 $93,518.80 $65,664.72
2027-05-01 2172 108 2 $27,714.66 1,592.81 1,061.87 $36.63 $1.58 $106.34 $1.81 $27,861.03 $12.83 5,691.38 $98,174.40 $70,313.37
2027-06-01 2280 114 2 $27,714.66 1,672.01 1,114.67 $38.46 $1.66 $111.63 $1.90 $27,868.30 $12.22 5,744.05 $103,056.00 $75,187.70
2027-07-01 2394 119 2 $27,714.66 1,755.61 1,170.41 $40.38 $1.74 $117.21 $2.00 $27,875.99 $11.64 5,799.65 $108,208.80 $80,332.81
2027-08-01 2513 125 2 $27,714.66 1,842.88 1,228.58 $42.39 $1.82 $123.04 $2.10 $27,884.00 $11.10 5,857.68 $113,587.60 $85,703.60
2027-09-01 2638 131 2 $27,714.66 1,934.54 1,289.70 $44.49 $1.92 $129.16 $2.20 $27,892.43 $10.57 5,918.64 $119,237.60 $91,345.17
2027-10-01 2769 138 2 $27,714.66 2,030.61 1,353.74 $46.70 $2.01 $135.57 $2.31 $27,901.26 $10.08 5,982.52 $125,158.80 $97,257.54
2027-11-01 2907 145 2 $27,714.66 2,131.81 1,421.21 $49.03 $2.11 $142.33 $2.43 $27,910.56 $9.60 6,049.82 $131,396.40 $103,485.84
2027-12-01 3052 152 2 $27,714.66 2,238.15 1,492.10 $51.48 $2.22 $149.43 $2.55 $27,920.33 $9.15 6,120.53 $137,950.40 $110,030.07
2028-01-01 3204 160 2 $27,714.66 2,349.61 1,566.41 $54.04 $2.33 $156.87 $2.67 $27,930.57 $8.72 6,194.66 $144,820.80 $116,890.23
2028-02-01 3364 168 2 $27,714.66 2,466.95 1,644.63 $56.74 $2.44 $164.70 $2.81 $27,941.35 $8.31 6,272.69 $152,052.80 $124,111.45
2028-03-01 3532 176 2 $27,714.66 2,590.15 1,726.77 $59.57 $2.56 $172.93 $2.95 $27,952.67 $7.91 6,354.61 $159,646.40 $131,693.73
2028-04-01 3708 185 2 $27,714.66 2,719.22 1,812.81 $62.54 $2.69 $181.54 $3.10 $27,964.53 $7.54 6,440.44 $167,601.60 $139,637.07
2028-05-01 3893 194 2 $27,714.66 2,854.88 1,903.26 $65.66 $2.83 $190.60 $3.25 $27,977.00 $7.19 6,530.66 $175,963.60 $147,986.60
2028-06-01 4087 204 2 $27,714.66 2,997.15 1,998.10 $68.93 $2.97 $200.10 $3.41 $27,990.07 $6.85 6,625.27 $184,732.40 $156,742.33
2028-07-01 4291 214 2 $27,714.66 3,146.75 2,097.83 $72.38 $3.12 $210.09 $3.58 $28,003.82 $6.53 6,724.76 $193,953.20 $165,949.38
2028-08-01 4505 225 2 $27,714.66 3,303.68 2,202.46 $75.98 $3.27 $220.56 $3.76 $28,018.24 $6.22 6,829.12 $203,626.00 $175,607.76
2028-09-01 4730 236 2 $27,714.66 3,468.69 2,312.46 $79.78 $3.43 $231.58 $3.95 $28,033.40 $5.93 6,938.84 $213,796.00 $185,762.60
2028-10-01 4966 248 2 $27,714.66 3,641.75 2,427.84 $83.76 $3.61 $243.14 $4.15 $28,049.31 $5.65 7,053.93 $224,463.20 $196,413.89
2028-11-01 5214 260 2 $27,714.66 3,823.62 2,549.08 $87.94 $3.79 $255.28 $4.35 $28,066.02 $5.38 7,174.87 $235,672.80 $207,606.78
2028-12-01 5474 273 2 $27,714.66 4,014.29 2,676.19 $92.33 $3.97 $268.01 $4.57 $28,083.54 $5.13 7,301.67 $247,424.80 $219,341.26
2029-01-01 5747 287 2 $27,714.66 4,214.49 2,809.66 $96.93 $4.17 $281.37 $4.80 $28,101.94 $4.89 7,434.80 $259,764.40 $231,662.46
2029-02-01 6034 301 2 $27,714.66 4,424.96 2,949.97 $101.77 $4.38 $295.42 $5.04 $28,121.28 $4.66 7,574.76 $272,736.80 $244,615.52
2029-03-01 6335 316 2 $27,714.66 4,645.69 3,097.13 $106.85 $4.60 $310.16 $5.29 $28,141.56 $4.44 7,721.55 $286,342.00 $258,200.44
2029-04-01 6651 332 2 $27,714.66 4,877.43 3,251.62 $112.18 $4.83 $325.63 $5.55 $28,162.85 $4.23 7,875.65 $300,625.20 $272,462.35
2029-05-01 6983 349 2 $27,714.66 5,120.90 3,413.93 $117.78 $5.07 $341.89 $5.83 $28,185.23 $4.04 8,037.56 $315,631.60 $287,446.37
2029-06-01 7332 366 2 $27,714.66 5,376.83 3,584.55 $123.67 $5.32 $358.97 $6.12 $28,208.75 $3.85 8,207.76 $331,406.40 $303,197.65
2029-07-01 7698 384 2 $27,714.66 5,645.23 3,763.49 $129.84 $5.59 $376.89 $6.43 $28,233.41 $3.67 8,386.24 $347,949.60 $319,716.19
2029-08-01 8082 404 2 $27,714.66 5,926.83 3,951.22 $136.32 $5.87 $395.69 $6.75 $28,259.29 $3.50 8,573.51 $365,306.40 $337,047.11
2029-09-01 8486 424 2 $27,714.66 6,223.10 4,148.73 $143.13 $6.16 $415.47 $7.08 $28,286.51 $3.33 8,770.53 $383,567.20 $355,280.69
2029-10-01 8910 445 2 $27,714.66 6,534.04 4,356.02 $150.28 $6.47 $436.23 $7.44 $28,315.08 $3.18 8,977.30 $402,732.00 $374,416.92
2029-11-01 9355 467 2 $27,714.66 6,860.37 4,573.58 $157.79 $6.79 $458.02 $7.81 $28,345.07 $3.03 9,194.31 $422,846.00 $394,500.93
2029-12-01 9822 491 2 $27,714.66 7,202.84 4,801.89 $165.67 $7.13 $480.89 $8.20 $28,376.54 $2.89 9,422.05 $443,954.40 $415,577.86
2030-01-01 10313 515 2 $27,714.66 7,562.91 5,041.94 $173.95 $7.49 $504.92 $8.61 $28,409.63 $2.75 9,661.50 $466,147.60 $437,737.97
2030-02-01 10828 541 2 $27,714.66 7,940.58 5,293.72 $182.63 $7.86 $530.14 $9.04 $28,444.33 $2.63 9,912.65 $489,425.60 $460,981.27
2030-03-01 11369 568 2 $27,714.66 8,337.31 5,558.21 $191.76 $8.25 $556.63 $9.49 $28,480.79 $2.51 10,176.48 $513,878.80 $485,398.01
2030-04-01 11937 596 2 $27,714.66 8,753.85 5,835.90 $201.34 $8.67 $584.44 $9.96 $28,519.07 $2.39 10,453.48 $539,552.40 $511,033.33
2030-05-01 12533 626 2 $27,714.66 9,190.92 6,127.28 $211.39 $9.10 $613.62 $10.46 $28,559.23 $2.28 10,744.13 $566,491.60 $537,932.37
2030-06-01 13159 657 2 $27,714.66 9,649.99 6,433.32 $221.95 $9.55 $644.26 $10.98 $28,601.41 $2.17 11,049.41 $594,786.80 $566,185.39
2030-07-01 13816 690 2 $27,714.66 10,131.79 6,754.53 $233.03 $10.03 $676.43 $11.53 $28,645.69 $2.07 11,369.81 $624,483.20 $595,837.51
2030-08-01 14506 725 2 $27,714.66 10,637.79 7,091.86 $244.67 $10.53 $710.21 $12.11 $28,692.18 $1.98 11,706.30 $655,671.20 $626,979.02
2030-09-01 15231 761 2 $27,714.66 11,169.46 7,446.31 $256.90 $11.06 $745.71 $12.71 $28,741.04 $1.89 12,059.86 $688,441.20 $659,700.16
2030-10-01 15992 799 2 $27,714.66 11,727.53 7,818.35 $269.73 $11.61 $782.97 $13.35 $28,792.32 $1.80 12,430.97 $722,838.40 $694,046.08
2030-11-01 16791 839 2 $27,714.66 12,313.47 8,208.98 $283.21 $12.19 $822.09 $14.02 $28,846.16 $1.72 12,820.62 $758,953.20 $730,107.04
2030-12-01 17630 881 2 $27,714.66 12,928.74 8,619.16 $297.36 $12.80 $863.16 $14.72 $28,902.70 $1.64 13,229.78 $796,876.00 $767,973.30
2031-01-01 18511 925 2 $27,714.66 13,574.81 9,049.87 $312.22 $13.44 $906.30 $15.45 $28,962.07 $1.56 13,659.41 $836,697.20 $807,735.13
2031-02-01 19436 971 2 $27,714.66 14,253.15 9,502.10 $327.82 $14.11 $951.59 $16.22 $29,024.40 $1.49 14,110.51 $878,507.20 $849,482.80
2031-03-01 20407 1020 2 $27,714.66 14,965.22 9,976.81 $344.20 $14.82 $999.13 $17.04 $29,089.84 $1.43 14,584.03 $922,396.40 $893,306.56
2031-04-01 21427 1071 2 $27,714.66 15,713.22 10,475.48 $361.40 $15.56 $1,049.07 $17.89 $29,158.57 $1.36 15,081.46 $968,500.40 $939,341.83
2031-05-01 22498 1124 2 $27,714.66 16,498.62 10,999.08 $379.47 $16.33 $1,101.50 $18.78 $29,230.74 $1.30 15,603.75 $1,016,909.60 $987,678.86
2031-06-01 23622 1181 2 $27,714.66 17,322.90 11,548.60 $398.43 $17.15 $1,156.53 $19.72 $29,306.49 $1.24 16,151.89 $1,067,714.40 $1,038,407.91
2031-07-01 24803 1240 2 $27,714.66 18,188.97 12,125.98 $418.35 $18.01 $1,214.35 $20.71 $29,386.07 $1.18 16,727.83 $1,121,095.60 $1,091,709.53
2031-08-01 26043 1302 2 $27,714.66 19,098.31 12,732.20 $439.26 $18.91 $1,275.07 $21.74 $29,469.63 $1.13 17,332.54 $1,177,143.60 $1,147,673.97
2031-09-01 27345 1367 2 $27,714.66 20,053.11 13,368.74 $461.22 $19.85 $1,338.81 $22.83 $29,557.37 $1.08 17,967.48 $1,235,994.00 $1,206,436.63
2031-10-01 28712 1435 2 $27,714.66 21,055.58 14,037.06 $484.28 $20.85 $1,405.74 $23.97 $29,649.49 $1.03 18,634.13 $1,297,782.40 $1,268,132.91
2031-11-01 30147 1507 2 $27,714.66 22,107.92 14,738.62 $508.48 $21.89 $1,476.00 $25.17 $29,746.19 $0.99 19,333.93 $1,362,644.40 $1,332,898.21
2031-12-01 31654 1582 2 $27,714.66 23,213.06 15,475.37 $533.90 $22.98 $1,549.78 $26.42 $29,847.75 $0.94 20,068.85 $1,430,760.80 $1,400,913.05
2032-01-01 33236 1661 2 $27,714.66 24,373.20 16,248.80 $560.58 $24.13 $1,627.23 $27.74 $29,954.35 $0.90 20,840.35 $1,502,267.20 $1,472,312.85
2032-02-01 34897 1744 3 $41,571.99 25,591.28 17,060.85 $588.60 $25.34 $1,708.56 $29.13 $43,923.61 $1.26 23,966.45 $1,577,344.40 $1,533,420.79
2032-03-01 36641 1832 3 $41,571.99 26,870.22 17,913.48 $618.01 $26.60 $1,793.94 $30.59 $44,041.14 $1.20 24,816.94 $1,656,173.20 $1,612,132.06
2032-04-01 38473 1923 3 $41,571.99 28,213.69 18,809.13 $648.91 $27.93 $1,883.64 $32.12 $44,164.59 $1.15 25,710.35 $1,738,979.60 $1,694,815.01
2032-05-01 40396 2019 3 $41,571.99 29,623.90 19,749.27 $681.35 $29.33 $1,977.79 $33.72 $44,294.18 $1.10 26,648.14 $1,825,899.20 $1,781,605.02
2032-06-01 42415 2120 3 $41,571.99 31,104.51 20,736.34 $715.40 $30.79 $2,076.64 $35.41 $44,430.23 $1.05 27,632.75 $1,917,158.00 $1,872,727.77
2032-07-01 44535 2226 3 $41,571.99 32,659.18 21,772.79 $751.16 $32.33 $2,180.43 $37.18 $44,573.09 $1.00 28,666.60 $2,012,982.00 $1,968,408.91
2032-08-01 46761 2338 3 $41,571.99 34,291.59 22,861.06 $788.71 $33.95 $2,289.42 $39.04 $44,723.10 $0.96 29,752.16 $2,113,597.20 $2,068,874.10
2032-09-01 49099 2454 3 $41,571.99 36,006.13 24,004.09 $828.14 $35.65 $2,403.89 $40.99 $44,880.65 $0.91 30,892.33 $2,219,274.80 $2,174,394.15
2032-10-01 51553 2577 4 $55,429.32 37,805.74 25,203.83 $869.53 $37.43 $2,524.03 $43.04 $58,903.35 $1.14 34,405.15 $2,330,195.60 $2,271,292.25
2032-11-01 54130 2706 4 $55,429.32 39,695.55 26,463.70 $913.00 $39.30 $2,650.20 $45.19 $59,077.01 $1.09 35,661.88 $2,446,676.00 $2,387,598.99
2032-12-01 56836 2841 4 $55,429.32 41,679.96 27,786.64 $958.64 $41.26 $2,782.69 $47.45 $59,259.36 $1.04 36,981.51 $2,568,987.20 $2,509,727.84
2033-01-01 59677 2983 4 $55,429.32 43,763.38 29,175.58 $1,006.56 $43.33 $2,921.79 $49.82 $59,450.81 $1.00 38,366.98 $2,697,400.40 $2,637,949.59
2033-02-01 62660 3133 4 $55,429.32 45,950.92 30,633.95 $1,056.87 $45.49 $3,067.83 $52.31 $59,651.82 $0.95 39,821.69 $2,832,232.00 $2,772,580.18
2033-03-01 65793 3289 4 $55,429.32 48,248.47 32,165.65 $1,109.71 $47.77 $3,221.23 $54.92 $59,862.95 $0.91 41,349.56 $2,973,843.60 $2,913,980.65
2033-04-01 69082 3454 5 $69,286.65 50,660.41 33,773.61 $1,165.19 $50.15 $3,382.25 $57.67 $73,941.92 $1.07 45,269.59 $3,122,506.40 $3,048,564.48
2033-05-01 72536 3626 5 $69,286.65 53,193.36 35,462.24 $1,223.45 $52.66 $3,551.36 $60.55 $74,174.67 $1.02 46,954.00 $3,278,627.20 $3,204,452.53
2033-06-01 76162 3808 5 $69,286.65 55,852.44 37,234.96 $1,284.61 $55.29 $3,728.89 $63.58 $74,419.02 $0.98 48,722.29 $3,442,522.40 $3,368,103.38
2033-07-01 79970 3998 5 $69,286.65 58,644.99 39,096.66 $1,348.83 $58.06 $3,915.33 $66.76 $74,675.63 $0.93 50,579.33 $3,614,644.00 $3,539,968.37
2033-08-01 83968 4198 5 $69,286.65 61,576.88 41,051.25 $1,416.27 $60.96 $4,111.07 $70.09 $74,945.05 $0.89 52,529.04 $3,795,353.60 $3,720,408.55
2033-09-01 88166 4408 6 $83,143.98 64,655.43 43,103.62 $1,487.07 $64.01 $4,316.61 $73.60 $89,085.27 $1.01 56,892.36 $3,985,103.20 $3,896,017.93
2033-10-01 92574 4628 6 $83,143.98 67,887.98 45,258.65 $1,561.42 $67.21 $4,532.42 $77.28 $89,382.31 $0.97 59,042.00 $4,184,344.80 $4,094,962.49
2033-11-01 97202 4860 6 $83,143.98 71,281.86 47,521.24 $1,639.48 $70.57 $4,759.01 $81.14 $89,694.18 $0.92 61,298.94 $4,393,530.40 $4,303,836.22
2033-12-01 102062 5103 6 $83,143.98 74,845.88 49,897.25 $1,721.46 $74.10 $4,996.96 $85.20 $90,021.69 $0.88 63,669.01 $4,613,202.40 $4,523,180.71
2034-01-01 107165 5358 7 $97,001.31 78,588.10 52,392.07 $1,807.53 $77.80 $5,246.80 $89.46 $104,222.90 $0.97 68,473.67 $4,843,858.00 $4,739,635.10
2034-02-01 112523 5626 7 $97,001.31 82,517.32 55,011.55 $1,897.90 $81.69 $5,509.13 $93.93 $104,583.96 $0.93 71,086.60 $5,086,039.60 $4,981,455.64
2034-03-01 118149 5907 7 $97,001.31 86,643.08 57,762.05 $1,992.79 $85.78 $5,784.58 $98.63 $104,963.08 $0.89 73,830.23 $5,340,334.80 $5,235,371.72
2034-04-01 124056 6202 8 $110,858.64 90,974.90 60,649.94 $2,092.42 $90.07 $6,073.78 $103.56 $119,218.47 $0.96 79,026.98 $5,607,331.20 $5,488,112.73
2034-05-01 130258 6512 8 $110,858.64 95,523.06 63,682.04 $2,197.03 $94.57 $6,377.43 $108.74 $119,636.41 $0.92 82,051.50 $5,887,661.60 $5,768,025.19
2034-06-01 136770 6838 9 $124,715.97 100,298.56 66,865.70 $2,306.87 $99.30 $6,696.26 $114.17 $133,932.56 $0.98 87,543.29 $6,182,004.00 $6,048,071.44
2034-07-01 143608 7180 9 $124,715.97 105,313.12 70,208.75 $2,422.20 $104.26 $7,031.05 $119.88 $134,393.36 $0.94 90,877.97 $6,491,081.60 $6,356,688.24
2034-08-01 150788 7539 9 $124,715.97 110,578.48 73,718.99 $2,543.31 $109.47 $7,382.58 $125.88 $134,877.20 $0.89 94,379.44 $6,815,617.60 $6,680,740.40
2034-09-01 158327 7916 10 $138,573.30 116,107.11 77,404.74 $2,670.46 $114.95 $7,751.69 $132.17 $149,242.57 $0.94 100,372.06 $7,156,380.40 $7,007,137.83
2034-10-01 166243 8312 10 $138,573.30 121,912.21 81,274.81 $2,803.98 $120.69 $8,139.26 $138.78 $149,776.01 $0.90 104,232.45 $7,514,183.60 $7,364,407.59
2034-11-01 174555 8727 11 $152,430.63 128,007.71 85,338.47 $2,944.18 $126.73 $8,546.21 $145.72 $164,193.46 $0.94 110,602.04 $7,889,886.00 $7,725,692.54
2034-12-01 183282 9164 11 $152,430.63 134,407.55 89,605.03 $3,091.37 $133.06 $8,973.49 $153.00 $164,781.55 $0.90 114,857.93 $8,284,346.40 $8,119,564.85
2035-01-01 192446 9622 12 $166,287.96 141,127.85 94,085.23 $3,245.94 $139.72 $9,422.16 $160.65 $179,256.42 $0.93 121,643.02 $8,698,559.20 $8,519,302.78
2035-02-01 202068 10103 12 $166,287.96 148,184.02 98,789.35 $3,408.23 $146.70 $9,893.25 $168.68 $179,904.83 $0.89 126,335.37 $9,133,473.60 $8,953,568.77
2035-03-01 212171 10608 13 $180,145.29 155,592.93 103,728.62 $3,578.64 $154.04 $10,387.89 $177.12 $194,442.97 $0.92 133,578.38 $9,590,129.20 $9,395,686.23
2035-04-01 222779 11138 14 $194,002.62 163,372.17 108,914.78 $3,757.56 $161.74 $10,907.26 $185.97 $209,015.15 $0.94 141,067.66 $10,069,610.80 $9,860,595.65
2035-05-01 233917 11695 14 $194,002.62 171,540.09 114,360.06 $3,945.42 $169.82 $11,452.58 $195.27 $209,765.71 $0.90 146,499.32 $10,573,048.40 $10,363,282.69
2035-06-01 245612 12280 15 $207,859.95 180,116.47 120,077.64 $4,142.68 $178.32 $12,025.16 $205.03 $224,411.14 $0.91 154,518.69 $11,101,662.40 $10,877,251.26
2035-07-01 257892 12894 16 $221,717.28 189,121.85 126,081.23 $4,349.80 $187.23 $12,626.39 $215.28 $239,095.99 $0.93 162,823.36 $11,656,718.40 $11,417,622.41
2035-08-01 270786 13539 16 $221,717.28 198,577.50 132,385.00 $4,567.28 $196.59 $13,257.68 $226.05 $239,964.88 $0.89 169,111.37 $12,239,527.20 $11,999,562.32
2035-09-01 284325 14216 17 $235,574.61 208,506.16 139,004.10 $4,795.64 $206.42 $13,920.55 $237.35 $254,734.57 $0.90 178,030.01 $12,851,490.00 $12,596,755.43
2035-10-01 298541 14927 18 $249,431.94 218,931.28 145,954.19 $5,035.42 $216.74 $14,616.57 $249.22 $269,549.89 $0.90 187,278.80 $13,494,053.20 $13,224,503.31
2035-11-01 313468 15673 19 $263,289.27 229,877.81 153,251.87 $5,287.19 $227.58 $15,347.39 $261.68 $284,413.11 $0.91 196,874.32 $14,168,753.60 $13,884,340.49
2035-12-01 329141 16457 20 $277,146.60 241,371.41 160,914.27 $5,551.54 $238.96 $16,114.74 $274.76 $299,326.60 $0.91 206,833.64 $14,877,173.20 $14,577,846.60
2036-01-01 345598 17279 21 $291,003.93 253,439.94 168,959.96 $5,829.12 $250.91 $16,920.48 $288.50 $314,292.93 $0.91 217,175.30 $15,621,029.60 $15,306,736.67
2036-02-01 362877 18143 22 $304,861.26 266,111.28 177,407.52 $6,120.56 $263.45 $17,766.46 $302.92 $329,314.65 $0.91 227,917.82 $16,402,040.40 $16,072,725.75
2036-03-01 381020 19051 23 $318,718.59 279,416.22 186,277.48 $6,426.57 $276.62 $18,654.74 $318.07 $344,394.59 $0.90 239,081.69 $17,222,104.00 $16,877,709.41
2036-04-01 400071 20003 24 $332,575.92 293,387.03 195,591.35 $6,747.90 $290.45 $19,587.48 $333.97 $359,535.72 $0.90 250,688.37 $18,083,209.20 $17,723,673.48
2036-05-01 420074 21003 25 $346,433.25 308,055.98 205,370.65 $7,085.29 $304.98 $20,566.82 $350.67 $374,741.01 $0.89 262,759.30 $18,987,344.80 $18,612,603.79
2036-06-01 441077 22053 26 $360,290.58 323,458.26 215,638.84 $7,439.54 $320.22 $21,595.13 $368.20 $390,013.68 $0.88 275,317.90 $19,936,680.40 $19,546,666.72
2036-07-01 463130 23156 28 $388,005.24 339,630.55 226,420.37 $7,811.50 $336.23 $22,674.84 $386.61 $419,214.43 $0.91 290,704.64 $20,933,476.00 $20,514,261.57
2036-08-01 486286 24314 29 $401,862.57 356,611.71 237,741.14 $8,202.07 $353.05 $23,808.56 $405.94 $434,632.19 $0.89 304,313.20 $21,980,127.20 $21,545,495.01
2036-09-01 510600 25530 30 $415,719.90 374,442.08 249,628.05 $8,612.17 $370.70 $24,998.98 $426.24 $450,127.98 $0.88 318,486.47 $23,079,120.00 $22,628,992.02
2036-10-01 536130 26806 32 $443,434.56 393,164.18 262,109.45 $9,042.78 $389.23 $26,248.92 $447.55 $479,563.05 $0.89 335,568.84 $24,233,076.00 $23,753,512.95
2036-11-01 562936 28146 34 $471,149.22 412,822.02 275,214.68 $9,494.91 $408.69 $27,561.35 $469.93 $509,084.10 $0.90 353,273.47 $25,444,707.20 $24,935,623.10
2036-12-01 591082 29554 35 $485,006.55 433,462.54 288,975.03 $9,969.64 $429.13 $28,939.37 $493.42 $524,838.12 $0.89 369,315.49 $26,716,906.40 $26,192,068.28
2037-01-01 620636 31031 37 $512,721.21 455,135.59 303,423.73 $10,468.12 $450.58 $30,386.34 $518.10 $554,544.35 $0.89 388,360.24 $28,052,747.20 $27,498,202.85
2037-02-01 651667 32583 39 $540,435.87 477,891.78 318,594.52 $10,991.51 $473.11 $31,905.62 $544.00 $584,350.11 $0.90 408,125.27 $29,455,348.40 $28,870,998.29
2037-03-01 684250 34212 41 $568,150.53 501,786.12 334,524.08 $11,541.08 $496.77 $33,500.88 $571.20 $614,260.46 $0.90 428,647.17 $30,928,100.00 $30,313,839.54
2037-04-01 718462 35923 43 $595,865.19 526,875.06 351,250.04 $12,118.13 $521.61 $35,175.90 $599.76 $644,280.58 $0.90 449,963.48 $32,474,482.40 $31,830,201.82
2037-05-01 754385 37719 45 $623,579.85 553,218.74 368,812.49 $12,724.03 $547.69 $36,934.69 $629.75 $674,416.00 $0.89 472,114.19 $34,098,202.00 $33,423,786.00
2037-06-01 792104 39605 47 $651,294.51 580,879.49 387,252.99 $13,360.23 $575.07 $38,781.41 $661.23 $704,672.46 $0.89 495,140.76 $35,803,100.80 $35,098,428.34
2037-07-01 831709 41585 49 $679,009.17 609,923.32 406,615.55 $14,028.24 $603.82 $40,720.47 $694.30 $735,056.00 $0.88 519,087.07 $37,593,246.80 $36,858,190.80
2037-08-01 873294 43664 52 $720,581.16 640,419.15 426,946.10 $14,729.64 $634.01 $42,756.47 $729.01 $779,430.30 $0.89 546,315.05 $39,472,888.80 $38,693,458.50
2037-09-01 916958 45847 54 $748,295.82 672,439.60 448,293.07 $15,466.11 $665.72 $44,894.26 $765.46 $810,087.37 $0.88 572,240.81 $41,446,501.60 $40,636,414.23
2037-10-01 962805 48140 57 $789,867.81 706,060.92 470,707.28 $16,239.40 $699.00 $47,138.93 $803.73 $854,748.88 $0.89 601,547.24 $43,518,786.00 $42,664,037.12
2037-11-01 1010945 50547 60 $831,439.80 741,363.78 494,242.52 $17,051.37 $733.95 $49,495.87 $843.92 $899,564.90 $0.89 631,971.89 $45,694,714.00 $44,795,149.10
2037-12-01 1061492 53074 63 $873,011.79 778,431.79 518,954.52 $17,903.93 $770.65 $51,970.65 $886.12 $944,543.13 $0.89 663,570.37 $47,979,438.40 $47,034,895.27
2038-01-01 1114566 55728 66 $914,583.78 817,352.94 544,901.96 $18,799.12 $809.18 $54,569.15 $930.42 $989,691.65 $0.89 696,401.18 $50,378,383.20 $49,388,691.55
2038-02-01 1170294 58514 69 $956,155.77 858,220.36 572,146.91 $19,739.07 $849.64 $57,297.59 $976.94 $1,035,019.01 $0.88 730,526.27 $52,897,288.80 $51,862,269.79
2038-03-01 1228808 61440 73 $1,011,585.09 901,130.87 600,753.91 $20,726.01 $892.12 $60,162.44 $1,025.79 $1,094,391.45 $0.89 768,326.09 $55,542,121.60 $54,447,730.15
2038-04-01 1290248 64512 76 $1,053,157.08 946,187.12 630,791.41 $21,762.30 $936.73 $63,170.54 $1,077.08 $1,140,103.73 $0.88 805,236.74 $58,319,209.60 $57,179,105.87
2038-05-01 1354760 67738 80 $1,108,586.40 993,496.18 662,330.79 $22,850.41 $983.56 $66,329.05 $1,130.93 $1,199,880.35 $0.89 845,961.60 $61,235,152.00 $60,035,271.65
2038-06-01 1422498 71124 84 $1,164,015.72 1,043,170.99 695,447.33 $23,992.93 $1,032.74 $69,645.50 $1,187.48 $1,259,874.37 $0.89 888,259.68 $64,296,909.60 $63,037,035.23
2038-07-01 1493622 74681 88 $1,219,445.04 1,095,328.88 730,219.25 $25,192.56 $1,084.38 $73,127.73 $1,246.85 $1,320,096.56 $0.88 932,209.01 $67,511,714.40 $66,191,617.84
2038-08-01 1568303 78415 93 $1,288,731.69 1,150,095.25 766,730.17 $26,452.19 $1,138.59 $76,784.11 $1,309.19 $1,394,415.78 $0.89 980,209.06 $70,887,295.60 $69,492,879.82
2038-09-01 1646718 82335 97 $1,344,161.01 1,207,599.90 805,066.60 $27,774.80 $1,195.52 $80,623.31 $1,374.65 $1,455,129.30 $0.88 1,027,713.98 $74,431,653.60 $72,976,524.30
2038-10-01 1729053 86452 102 $1,413,447.66 1,267,979.24 845,319.49 $29,163.52 $1,255.30 $84,654.43 $1,443.38 $1,529,964.30 $0.88 1,079,446.66 $78,153,195.60 $76,623,231.30
2038-11-01 1815505 90775 107 $1,482,734.31 1,331,377.72 887,585.15 $30,621.69 $1,318.06 $88,887.12 $1,515.55 $1,605,076.74 $0.88 1,133,187.07 $82,060,826.00 $80,455,749.26
2038-12-01 1906280 95314 112 $1,552,020.96 1,397,946.42 931,964.28 $32,152.77 $1,383.97 $93,331.47 $1,591.33 $1,680,480.49 $0.88 1,189,035.67 $86,163,856.00 $84,483,375.51
2039-01-01 2001594 100079 118 $1,635,164.94 1,467,843.74 978,562.50 $33,760.41 $1,453.17 $97,998.04 $1,670.90 $1,770,047.45 $0.88 1,249,413.88 $90,472,048.80 $88,702,001.35
2039-02-01 2101673 105083 124 $1,718,308.92 1,541,235.42 1,027,490.28 $35,448.41 $1,525.82 $102,897.91 $1,754.44 $1,859,935.51 $0.88 1,312,115.85 $94,995,619.60 $93,135,684.09
2039-03-01 2206756 110337 130 $1,801,452.90 1,618,296.71 1,078,864.48 $37,220.82 $1,602.11 $108,042.77 $1,842.16 $1,950,160.77 $0.88 1,377,258.10 $99,745,371.20 $97,795,210.43
2039-04-01 2317093 115854 137 $1,898,454.21 1,699,210.96 1,132,807.31 $39,081.85 $1,682.22 $113,444.87 $1,934.27 $2,054,597.42 $0.89 1,447,278.66 $104,732,603.60 $102,678,006.18
2039-05-01 2432947 121647 143 $1,981,598.19 1,784,171.03 1,189,447.36 $41,035.93 $1,766.33 $119,117.09 $2,030.98 $2,145,548.52 $0.88 1,517,673.61 $109,969,204.40 $107,823,655.88
2039-06-01 2554594 127729 150 $2,078,599.50 1,873,379.33 1,248,919.55 $43,087.72 $1,854.65 $125,072.92 $2,132.53 $2,250,747.32 $0.88 1,593,209.70 $115,467,648.80 $113,216,901.48
2039-07-01 2682323 134116 158 $2,189,458.14 1,967,047.78 1,311,365.19 $45,242.10 $1,947.38 $131,326.53 $2,239.16 $2,370,213.31 $0.88 1,674,027.89 $121,240,999.60 $118,870,786.29
2039-08-01 2816439 140821 166 $2,300,316.78 2,065,400.06 1,376,933.37 $47,504.20 $2,044.75 $137,892.85 $2,351.11 $2,490,109.70 $0.88 1,757,960.82 $127,303,042.80 $124,812,933.10
2039-09-01 2957260 147863 174 $2,411,175.42 2,168,669.37 1,445,779.58 $49,879.40 $2,146.98 $144,787.45 $2,468.67 $2,610,457.92 $0.88 1,845,163.57 $133,668,152.00 $131,057,694.08
2039-10-01 3105123 155256 183 $2,535,891.39 2,277,102.83 1,518,068.56 $52,373.37 $2,254.33 $152,026.82 $2,592.10 $2,745,138.01 $0.88 1,938,116.57 $140,351,559.60 $137,606,421.59
2039-11-01 3260379 163018 192 $2,660,607.36 2,390,957.87 1,593,971.91 $54,992.03 $2,367.05 $159,628.16 $2,721.71 $2,880,316.30 $0.88 2,034,674.92 $147,369,130.80 $144,488,814.50
2039-12-01 3423397 171169 201 $2,785,323.33 2,510,505.06 1,673,670.04 $57,741.62 $2,485.40 $167,609.52 $2,857.79 $3,016,017.66 $0.88 2,135,018.55 $154,737,544.40 $151,721,526.74
2040-01-01 3594566 -71891 212 $2,937,753.96 2,636,029.69 1,757,353.13 $60,628.68 $2,609.67 $175,989.95 $3,000.68 $3,179,982.94 $0.88 2,243,969.34 $162,474,383.20 $159,294,400.26
2040-02-01 3522675 -70453 207 $2,868,467.31 2,583,309.33 1,722,206.22 $59,416.11 $2,557.48 $172,470.17 $2,940.67 $3,105,851.74 $0.88 2,197,329.89 $159,224,910.00 $156,119,058.26
2040-03-01 3452222 172611 203 $2,813,037.99 2,531,643.51 1,687,762.34 $58,227.80 $2,506.33 $169,020.79 $2,881.85 $3,045,674.76 $0.88 2,153,707.79 $156,040,434.40 $152,994,759.64
2040-04-01 3624833 -72496 213 $2,951,611.29 2,658,225.62 1,772,150.41 $61,139.19 $2,631.64 $177,471.82 $3,025.95 $3,195,879.89 $0.88 2,261,045.71 $163,842,451.60 $160,646,571.71
2040-05-01 3552337 -71046 209 $2,896,181.97 2,605,061.59 1,736,707.73 $59,916.42 $2,579.01 $173,922.42 $2,965.43 $3,135,565.25 $0.88 2,216,427.30 $160,565,632.40 $157,430,067.15
2040-06-01 3481291 174064 205 $2,840,752.65 2,552,960.90 1,701,973.93 $58,718.10 $2,527.43 $170,444.01 $2,906.12 $3,075,348.31 $0.88 2,172,516.01 $157,354,353.20 $154,279,004.89
2040-07-01 3655355 -73107 215 $2,979,325.95 2,680,608.54 1,787,072.36 $61,654.00 $2,653.80 $178,966.18 $3,051.43 $3,225,651.36 $0.88 2,280,562.52 $165,222,046.00 $161,996,394.64
2040-08-01 3582248 -71644 211 $2,923,896.63 2,626,996.44 1,751,330.96 $60,420.92 $2,600.73 $175,386.86 $2,990.40 $3,165,295.54 $0.88 2,235,646.15 $161,917,609.60 $158,752,314.06
2040-09-01 3510604 -70212 207 $2,868,467.31 2,574,457.22 1,716,304.81 $59,212.52 $2,548.71 $171,879.17 $2,930.59 $3,105,038.30 $0.88 2,191,443.23 $158,679,300.80 $155,574,262.50
2040-10-01 3440392 172019 202 $2,799,180.66 2,522,968.13 1,681,978.75 $58,028.27 $2,497.74 $168,441.59 $2,871.98 $3,031,020.24 $0.88 2,145,622.57 $155,505,718.40 $152,474,698.16
2040-11-01 3612411 -72248 213 $2,951,611.29 2,649,116.10 1,766,077.40 $60,929.67 $2,622.62 $176,863.64 $3,015.58 $3,195,042.81 $0.88 2,254,987.88 $163,280,977.20 $160,085,934.39
2040-12-01 3540163 -70803 208 $2,882,324.64 2,596,133.94 1,730,755.96 $59,711.08 $2,570.17 $173,326.38 $2,955.27 $3,120,887.54 $0.88 2,208,174.33 $160,015,367.60 $156,894,480.06
Logistic Growth Model
The coefficients and values used in the multiple equations are listed below: