Question $2(4$ Marks$)$:

You are tasked with estimating the cost of constructing a new high$-$quality medical clinic building with a floor area of $30,000$ square feet. The building is planned to be constructed in New York City, where the location cost index is $130\mathrm{.}7.$ Construction is set to begin in three years, with an anticipated inflation rate of $\backslash (5\backslash \%\backslash )$ per year. Use a base cost of $\backslash (\backslash$$ $158\backslash )$ per square foot for a high$-$quality structure. What is the adjusted cost considering size, location, and time adjustments?