$In2016(tt=0),$ bauxite production was approximately $274$ million $(10$ marks$)$

metric tons, and the world reserves $of$ bauxite were about $28$ billion

metric tons. Assuming that demand $is$ growing exponentially $ata$

rate $of11\mathrm{.}8\%$ per and that $no$ new reserves are discovered, $in$ what

year will the world reserves $of$ bauxite $be$ depleted?