An investment project has annual cash inflows of $$5,000,$$$3,300,$$$4,500,$ and $$3,700,$ for the next four years, respectively. The discount rate is $14$ percent.

a$.$ What is the discounted payback period for these cash flows if the initial cost is $$5,100?($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 $$7,200?($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 $$10,200?($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[,,],[$a$.,$Discounted payback period,$1\mathrm{.}54,$years$],[$b$.,$Discounted payback period,$2\mathrm{.}85,$years$],[$c$.,$Discounted payback period,,years$]]$