Problem $1.$ A process vessel was purchased in the United Kingdom for a plant in the United States in $1993.$ A similar vessel, but of different capacity, was purchased in $1998.$ From the data given below, estimate the cost in U$.$S$.$ $ of a vessel of $120m^3$ capacity purchased in $2017.$

$\backslash$table$[[$Date Vessel capacity $(m3),$Purchased cost $(),$Exchange rate,$],[1993,75,7,800,$$$\frac{1\mathrm{.}40}{}$

$\backslash$table$[[$Date Vessel capacity $($m$3)$ Purchased cost $()$ Exchange rate$],[1993,75,7,800,$$$\frac{1\mathrm{.}40}{}$