rook Corp. is evaluating a capital project using the payback method. The project has an initial cash outflow of $$550,000$ and the annual after$-$tax cash inflows for the project are below. For capital projects management requires a rate of return of $13\mathrm{.}0\%.$

Cash inflows are as follows: year $1$ $$175,000,$ year $2$ $$175,000,$ year $3$ $$200,000,$ year $4$ $$100,000$ year $5$ $$100,000,$ year $6$ $$75,000,$ and year $7$ $$50,000.$

How many years is the payback period of the project?