An investment project has annual cash inflows of $$3,800,$$$4,700,$$$5,900,$ and $$5,100,$ for the next four years, respectively. The discount rate is $14$ percent.

a$.$ What is the discounted payback perlod for these cash flows if the initial cost is $$6,500?($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the discounted payback period for these cash flows if the initial cost is $$8,600?($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ What is the discounted payback period for these cash flows if the initial cost is $$11,600?($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[$a$.$ Discounted payback period,,years$],[$b$.$ Discounted payback period,,years$],[$c$.$ Discounted payback period,,years$]]$