I can't share pricing details since they are confidential but if you just want to play with MIP you don't need to buy one of the big three (XPRESS, Gurobi, CPLEX) which are all very expensive but usually available for free for students. There are at least two good open source / free for non-commercial use MIP solvers available:
We kind-of have that in DeepSeek-R1-zero [1], but it has problem. From the original authors:
> With RL, DeepSeek-R1-Zero naturally emerged with numerous powerful and interesting reasoning behaviors. However, DeepSeek-R1-Zero encounters challenges such as endless repetition, poor readability, and language mixing.
A lot of these we can probably solve, but as other have pointed out we want a model that humans can converse with, not an AI for the purpose of other AI.
That said, it seems like a promising area of research:
> DeepSeek-R1-Zero demonstrates capabilities such as self-verification, reflection, and generating long CoTs, marking a significant milestone for the research community.
https://highs.dev/ https://www.scipopt.org/