A company purchases a small office building as its new headquarters. The building cost $$758,000.$ To purchase the building, the

company issues a $15-$year installment note with $5\%$ interest. The company is considering two options:

a$.$ Pay $$0$ down and make monthly payments of $$5,994\mathrm{.}22$ over $15$ years.

b$.$ Pay $$175,000$ down and make payments of $$4,610\mathrm{.}33$ over $15$ years.

For each option, determine $(1)$ the total cash paid for the building over $15$ years, including the down payment, and $(2)$ total interest paid

over $15$ years. $($Do not round your intermediate calculations. Round your answers to $2$ decimal places.$)$