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Do you guys like logic puzzles?

I have a system within EVE Online where I'm manufacturing things and trying to come up with the optimal process. There are three phases:

1. Copy blueprint (Take an original blueprint and copy it making a blueprint copy)
2. Invention (Use a blueprint copy and have a % chance to make a "Tech 2" Blueprint copy
3. Manufacture (Use a tech 2 blueprint copy to make something).

Givens:

Copy and invention both use research slots. I have a total of 10 research slots available across two characters.

Manufacturing uses manufacturing slots. Again, I have 10 available.

A copy operation takes 20 hours and produces a copy with 40 "runs"

An invention operation on those 40 runs takes 173 hours. With a 25% chance of success it will, on average, produce 10 Tech 2 copies each with 10 runs

One tech 2 copy of 10 runs takes 60 hours to make

What is my optimal copy/invent + manufacturing timing so that I have enough copies to invent and enough invention results to manufacture at full capacity?


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