Pappy$$s Potato has come up with a new product, the Potato Pet $($they are freeze$-$dried to last longer$).$ Pappy$$s paid $$190,000$ for a marketing survey to determine the viability of the product. It is felt that Potato Pet will generate sales of $$905,000$ per year. The fixed costs associated with this will be $$232,000$ per year, and variable costs will amount to $20$ percent of sales. The equipment necessary for production of the Potato Pet will cost $$990,000$ and will be depreciated in a straight$-$line manner for the four years of the product life $($as with all fads, it is felt the sales will end quickly$).$ This is the only initial cost for the production. Pappy's has a tax rate of $24$ percent and a required return of $14$ percent.

a$.$ Calculate the payback period for this project. $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Calculate the NPV for this project. $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ Calculate the IRR for this project. $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$