An investment has an installed cost of $$533,800.$ The cash flows over the four$-$year life of the investment are projected to be $$215,850,$$$232,450,$$$199,110,$ and $$147,820,$ respectively.

a$.$ If the discount rate is zero, what is the NPV$?($Do not round intermediate calculations.$)$

b$.$ If the discount rate is infinite, what is the NPV$?($A negative answer should be Indicated by a minus sign.$)$

c$.$ At what discount rate is the NPV just equal to zero? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[$a$.$ NPV$,,],[$b$.$ NPV$,,],[$c$.$ IRR,,$\%$