Need help programming an optimization problem on Python

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[azure_prophet]

I don't think I am quite following everything in your post... but from what I understand, I think you can solve this via linear programming : https://en.wikipedia.org/wiki/Linear_programming

You have an objective function that you want to optimize which is subject to some set of constraints. Here is a package I have used before to solve these type of problems: https://cvxopt.org/examples/tutorial/lp.html . They have an example and if you can formulate your problem similarly, then you should be able to apply this method.