An investment has an installed cost of $$569,382.$ The cash flows over the four$-$year life of the investment are projected to be $$198,584,$$$242,318,$$$190,674,$ and $$158,313.$

a$.$ If the discount rate is zero, what is the NPV$?($Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32)$

b$.$If the discount rate is infinite, what is the NPV$?($You can figure this out conceptually, but you can also just try setting your discount rate to larger and larger numbers and seeing what the NPV goes to$.$ But after you solve it that way, think about why that's the case$/$what it means.$)($A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32.)$

c$.$ At what discount rate is the NPV just equal to zero? $($You can guess and check, or you can just solve for IRR.$)($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$,$$$,20,487],[$b$.,$NPV$,$$$,-20,487$