You are evaluating an investment alternative that costs $$65,000,$ is expected to last $7$ years, and has a $$6000$ salvage value. The investment is expected to generate an operating cash inflow of $$17,000$ each year for years $1,2,$ and $3,$ and $$18,000$ in years $4,5,6,$ and $7.$ The operating cash outflow each year is $2044.$a$.(4)$ Calculate the payback period for this investment.