When creating a chart similiar to what I've linked here, how exactly does one go about doing this?

As you can tell from the chart, it suggests that playing a hand preflop from a certain position in a particular way (raising if you are in late position, folding if you're middle or early for a particular hand). How you play the hand preflop if you're facing a raise etc.

https://ibb.co/fJ8P4m

How does one go about defining the best possible preflop action given a certain scenario, mathematically ? If I were to make my own similiar chart, exactly how would I go about finding out whats the most profitable play for each scenario? e.g. A10 from middle position. What kind of simulations would I need to run?

You can't produce a solution to pre-flop hand selection (and calling or 3bet/4bet ranges) without a complete solution to the entire post-flop game (which is effectively infinite in its nuances), but there are plenty of (free) hand charts online. Mostly they are derived from winning regs playing millions of hands and looking at their results in tracking programs, so that they can see which hands are profitable in each position, and which aren't.
e.g. Everyone knows that AA is a profitable open UTG, but with trackers you can find out that maybe 77 is too, along with A5s or JTs (and a bunch of hands that are better than JTs, but not as good as aces). Until you've got to grips with the opponents in your own game, sticking with a rudimentary starting hand chart helps to instill the disciplined required to make money.

P.S. I believe the chart you linked to is for fixed limit games. Ranges for no limit are slightly different. Search google for "pre-flop hand chart", and you'll see the more common matrices (13x13 grids) for good opening ranges in each position.

Thanks for your reply, that helps me out a lot. I'm already familiar with such charts, I've been experimenting with playing opening about 10% top hands from early position, 25-30% from middle and around 45-50% from late pos. I've been using PokerStove to give me the charts based on the %. Still trying to mess around and see what's really the most ideal ranges, I think I'm pretty close but any tips here is greatly appreciated. I guess it depends on how you play postflop aswell..

Not wanting to brag but I have quite a lot of programming skills and I'm very interested to see if it's possible to develope something that's even more dynamic than this. A software that typically would be illegal to use while playing (like PokerStove..), but could be used to simulate and finding out whats the best possible play at different scenarios with the information we have available. Like taking all paths into consideration and calculating what would be the best option long term. Taking your opponents ideal ranges for their positions into account etc aswell is something to think about for this.

I dont know if something like this is already done? If so I would really like to know because I havent been able to find it.. I'm trying to learn and get better, but I feel like it would be much easier to learn and become better if it was easier to figure out what the best moves are from a mathmatical point of view. There are just so many hands and so many scenarios. Trying to make life simpler

There are tons of software applications already available for poker calculations. You can find them in Software forum: https://forumserver.twoplustwo.com/1...cial-software/