An investment has an installed cost of $$522,800.$ The cash flows over the four$-$year life of the investment are projected to be $$226,850,$$$243,450,$$$210,110,$ and $$158,820,$ 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,$\%$