Pappy's Potato has come up with a new product, the Potato Pet $($they are freeze$-$dried to last longer$).$ Pappy's paid $$205,000$ for a marketing survey to determine the viability of the product. It is felt that Potato Pet will generate sales of $$920,000$ per year. The fixed costs associated with this will be $$238,000$ per year, and variable costs will amount to $18$ percent of sales. The equipment necessary for production of the Potato Pet will cost $$1,020,000$ 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 $22$ percent and a required return of $13$ percent.

a$.$ Calculate the payback period for this project.

Note: 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.

Note: 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.

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$