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A barrel is 14, sulfur is 85, and coal is 27 (you have these three correct).
But a bag of manure costs 13 (not 3), since it takes an empty sack (worth 7), 3 energy (worth 3 gold, since resting at the inn for 20 gold gets 20 energy), and 3 gold, for a total of 13.
So the three manure cost 39, not three.
And you left out the 25 gold to make the gunpowder.
So, 230 - 14 - 85 - 27 - 39 - 25 = 40.
Other than that, though, this is a handy guide. Thanks for making it!