Cambrian College has to choose between two investment alternatives. Alternative A $($a new residence$)$ will provide returns to the college of $$20,000$ after $3$ years, $$25,000$ after $4$ years and $$4000$ per year for the next $6$ years. Alternative B $($a new gym$)$ will bring returns of $$7500$ per year for $10$ years. If the college expects a return of $12\%$ compounded annually on investments, what is the NPV of Alternative B$?$ Drow a timeline in your notes to practice!

Select one:

a$.$ $$42,377$

b$.$ $$22,216$

c$.$ $$24,148$

d$.$ $$40,575$