An investment is expected to produce the following annual year$-$end cash flows:Year $1$$ $5,000$ Year $2$ $ $1,000$Year $3$$ $0$ Year $4$ $ $5,000$Year $5$$ $6,000$ year $6$ $ $863\mathrm{.}65$The investment will cost $$13,000$ today.Required:a$.$ Will this investment be profitable?b$.$ What will be the IRR $($compounded annually$)$ on this investment?Note: Enter your answer as a percent rounded the nearest whole number.c$.$ Show how much of each year's cash flow is recovery of the $$13,000$ investment and how much of the cash flow is return on investment.