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Someone write me a function for this scenario...?
Very sad, I haven't done math in a while and I was trying to write a function for this scenario. It involves virtual investments.
$8000 initial investment
X = number of systems, costs $8000 each
Y = 1 time cycle, 15 minutes each and generates $30 in returns
If anyone is up for the challenge, post me your function so that I may find out...
(a) How long would it take for me to break even assuming I want (5) or (10) systems maximum?
(b) How much I would have earned through the systems (not including the cost of buying them) after reaching (5) or (10) systems?
FYI I cannot go into debt buying all (5) or (10) systems at once or go below $0.00. The systems must be bought using the money earned.
Thanks in advance!
1 Answer
- Julius NLv 71 decade agoFavorite Answer
the problem is that this is not a continuous function - it is a step function.
It takes 267 cycles to earn enough money to buy system #2, and you have ten dollars left over.
it is then an additional 134 cycles to earn enough money to get system 3 and you have 50 dollars left over. You are not dealing with continuity - even though you are earning 30 per cycle, you can not say you earned 8000 in 266 and 2/3 cycles. you have to wait until the end of the cycle to get the money for that cycle.
I think you need to do a simulation rather than a formula.
It will take 557 cycles to get your five systems after earning $32,100 and 756 cycles to get ten systems after earning $72,150.
Here is the illustration going up to 20 system.
cycle number; systems ; money ; $ per cycle ; cycles ; fractional ; total earnings
0 ; 1 ; $0 ; $30 ; 266 ; 1 ; $0
267 ; 2 ; $10 ; $60 ; 133 ; 1 ; $8,010
401 ; 3 ; $50 ; $90 ; 88 ; 1 ; $16,050
490 ; 4 ; $60 ; $120 ; 66 ; 1 ; $24,060
557 ; 5 ; $100 ; $150 ; 52 ; 1 ; $32,100
610 ; 6 ; $50 ; $180 ; 44 ; 1 ; $40,050
655 ; 7 ; $150 ; $210 ; 37 ; 1 ; $48,150
693 ; 8 ; $130 ; $240 ; 32 ; 1 ; $56,130
726 ; 9 ; $50 ; $270 ; 29 ; 1 ; $64,050
756 ; 10 ; $150 ; $300 ; 26 ; 1 ; $72,150
783 ; 11 ; $250 ; $330 ; 23 ; 1 ; $80,250
807 ; 12 ; $170 ; $360 ; 21 ; 1 ; $88,170
829 ; 13 ; $90 ; $390 ; 20 ; 1 ; $96,090
850 ; 14 ; $280 ; $420 ; 18 ; 1 ; $104,280
869 ; 15 ; $260 ; $450 ; 17 ; 1 ; $112,260
887 ; 16 ; $360 ; $480 ; 15 ; 1 ; $120,360
903 ; 17 ; $40 ; $510 ; 15 ; 1 ; $128,040
919 ; 18 ; $200 ; $540 ; 14 ; 1 ; $136,200
934 ; 19 ; $300 ; $570 ; 13 ; 1 ; $144,300
948 ; 20 ; $280 ; $600 ; 12 ; 1 ; $152,280
