"pevh;c-1612210" wrote:
@168sean168 now that i am officially a "troll" i am definately going to post an explanation in the near future. multiple linear functions never yield an exponential function. (not entirely true but that is a different story)(and i didn't even consider limitations here (yes that was a joke)) there is an optimum somewhere and it is not maximizing your percentage.
So, I will take back what I said...you obviously understand math, however, I think you are just thinking about this the wrong way. Yes, they are two independent linear functions. When you are thinking about their use in the context of your return on donuts, that function is dependent on BOTH functions, which is what makes it exponential.
I can explain how you arrive at this equation when I have more time (and am not at work), but the equation for the number of donuts you can get PER DAY if you are reinvesting all of your cash flow directly into KEMs is (I really wish there was a Microsoft Word style equation editor in here...):
{*]/}*expected#donuts
A couple of variables in there:
BaseCash = Cash Flow per day with no bonus
BaseXP = XP flow per day with no bonus
expected#donuts = The number of donuts you will receive on average based on your box picking strategy (e.g. Always take first box, go for 2 or more, Always go for 3)
If I multiply out just the numerator, it is a standard quadratic function: (BaseCash*BaseXP)+(2*BaseCash*BaseXP*%bonus)+(BaseCash*BaseXP*(%bonus^2))
So, you see that when you have a function that is dependent on TWO independent functions, you can generate an exponential function
