Not sure your figures for your graph are correct.
100 * (2^15) = 100 * (sqrt(2)^30) = 3,276,800
A 28% reduction on the daily increase would reduce the daily multiplier from sqrt(2) = 1.4142 (4dp) to:-
((sqrt(2)-1)*0.72)+1 = 1.2982 (4dp)
After 30 days those 100 cases would now be: 100*(1.2982^30) =~ 250,000
But it only buys you 10 days as on day 40 the reduced rate has grown to 100*(1.2982^40) =~ 3.42m
Correct.. my now deleted post was bollocks. Went for a fag after posting and realised it was shite.
@hurricane_run started
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Not sure your figures for your graph are correct.
100 * (2^15) = 100 * (sqrt(2)^30) = 3,276,800
A 28% reduction on the daily increase would reduce the daily multiplier from sqrt(2) = 1.4142 (4dp) to:-
((sqrt(2)-1)*0.72)+1 = 1.2982 (4dp)
After 30 days those 100 cases would now be: 100*(1.2982^30) =~ 250,000
But it only buys you 10 days as on day 40 the reduced rate has grown to 100*(1.2982^40) =~ 3.42m