For the hydroxide you only accounted for the conversion cost. This is around US$5000, perhaps a bit higher.
The input cost is the cost of spodumene for which you need to add about 7.5t @ US$1200 = US$9000/t.
The total cost for the hydroxide conversion then become US$14 000/t or more (think the conversion cost may be 5500-6000). That changes the numbers a bit.
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