Angel Investor Effectiveness upgrade question.

[LouisLeGros]

When are the upgrades for Angel Investor Effectiveness worth it and what exactly do they do? Say Angelic Mutiny, it costs 100,000 angels and increases Angel Investor effectivness by 2%. By the point in the game where you'd be getting this upgrade your Angel Investor effectiveness should be at 2% or 3%. Will getting this upgrade increase the bonus by a flat amount to 4%-5% (depending on the starting value)?

If you are at 2% would this double your Angel Investor Effectivness and so the upgrade would be worth getting once you are above 200,000 Angel Investors? Would a more general solution be something like solving for A (current Angel Investors) when B is equal to your bonus per angel?
AB = (A - 100000)(B+.02)
So say you started with a per angel bonus of .03
.03A = .05(A-100000)
.6A = A-100000
-.4A = -100000
A = 250000
So with an initial Angel Investor bonus of .03 you'd need 250,000 Angel Investors to make the Angelic Mutiny upgrade to break even. Or am I just not understanding this correctly?

[LouisLeGros]

I just did a reset after hitting about 500k angel investors and bought the upgrade and I'm pretty sure it increased my income, so I think my math for 250k being the break even point is right, still not sure.

[skhar]

Your math looks right, yep.
Buying that 100k upgrade with 500k on hand definitely boosted your income.
500k * 3 = 1.5m
400k * 5 = 2m

My approach for the break even points was: If the upgrade costs A angels and gives a xN multiplier the break even point is A*N/N-1
In your case A = 100k, N = 5/3 and N-1 = 2/3.
100k * (5/3)/(2/3) = 250k