Algorithm to balance output of quadatric functions, yield optimization

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I apologize in advance, I don't come from a mathematics background. I'm trying to understand if there are any known algorithm for the problem I'm trying to solve. I'm not a student, I'm just trying to learn.

I'll try to describe what's going on in an anecdote:

Lets say there are a bunch of stores earn fix daily profits. Each one of these stores makes a different amount of profit I can buy a percentage of that company to earn a dividend of their rewards Everyday other people come and buy shares changing the amount of dividends I'm earning so I need to adjust.

In more mathematically terms:

I have a list of quadratic functions whose inputs are dependent on the results from the previous function. I'm looking for an algorithm to return the highest output in a while at most iterating over the functions n log n times.

I feel like this has something to do with linear regression, are there any simple algorithms which can handle this?