In the fictional place of Leongville there is one good, Good $1.$ In $2001,$ the price of Good $1$ is $$90\mathrm{.}55$ and quantity produced is $1700$ units. In $2002,$ the price of Good $1$ is $$103\mathrm{.}34$ and the quantity produced is $1750$ units. In $2023,$ the price of Good $1$ is $$115\mathrm{.}90$ and the quantity produced is $1750$ units. In $2001,$ the total population is $560.$ In $2002,$ the total population is $735.$ In $2003,$ the total population is $812.$ The base year is $2001.$ What is the real GDP per capita in $2001?$

$$274\mathrm{.}88$

$$209\mathrm{.}44$

$$282\mathrm{.}97$

$$189,58$