About workshop and factory, I think you gave them the same buff but it doesn't have the same result.

Workshop with + 2 production get more useful because you can make it pay for itself really faster and enjoy the extra gold. it costs 350 hammers and with 5 base hammer, you can expect to get extra hammers under 50 turns. it's a building that you unlock around turn 150 to 200 in standard speed. so you can benefit from extra hammer from 200-250 to the end of the game.



Furthermore you get extra gold from it which can help sometimes to reach the poverty threshold.



Now, Factories :



Let's take a city with 24 citizens and 2 manufactories. ( the almost ideal setup ), you get 5 + 24/4 + 2*2 = 15 production.

Let's say you work the extra engineer slot ( which you shouldn't unless it's your tradition capital or you are deep in freedom ), it's a 15 + 5 = 20 production.



1250 /20 = 62.5 turns. you should have this building available between turn 240 ( but who dives into industrial through steam power + railroad) and turn 300.



let's say your game finish at turn 400. you will get 200 extra hammer from the factory, it's not an industrial building cost, it's not even a industrial unit cost, it's a classical building cost.



Now take my numbers, double everything and the building is still bad.



moreover, you have to take in consideration that you want to optimize your coal use ( unless playing on communitas ). you need it for melee boat, seaport and train station.



Conclusion : I didn't test the new version but I can't see how an extra + 2 production changed anything to factory situation but I can always be wrong

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