It is clear and stated that writer has 5 turns of your culture output (btw do instant yields also count into this, i don't think so, but it's rather important), 2 turns of science has great scientist, but it is not said what does engineer have. I think this is too much for even 5 turns of prodcution in that city + policy bonus (only industry in this case I think).
Also they say every created and owned manufactory/academy/town will increase yields. Does that mean from your GP and those you conquered from AI playewr great people? Or does it mean both must be true, academy you created and not lost (still in your city, borders)?
I can't tell you about base production output, but the 10% per GPTI is all that were both created and own by you. Conquered and lost GPTIs don't count.
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