A certain machine was bought for $225,000.$ Delivery and installation costs are $15,000$ and $6,500,$ respectively. If the machine has a useful life of $20$ years with a scrap value of $30,000,$ what is its book value after $18$ years? Use the SYD Method.

A$.39018\mathrm{.}44$

B$.35447\mathrm{.}94$

C$.31105\mathrm{.}23$

D$.33092\mathrm{.}86$