You just won the lottery. Congrats!!! You are given the choice of receiving $$30,000$ at the end of each year for the next $20$ years, or a lump sum today. If you can earn a return of $8\%$ on your investment, what is the minimum amount you should be willing to accept today as a lump$-$sum amount? Round your answer to the nearest hundred dollars.

a$.$ $$600,000$

b$.$ $$294,500$

c$.$ $$212,800$

d$.$ $$235,700$

e$.$ $$227,900$