Northern Distributors expects a $17\%$ rate of return on their investments. They are considering a $15$ year project which will cost them $$100,000$ immediately, $$10,000$ each year for years $2$ to $6,$ $$20,000$ each year for years $7$ to $11$ and $$25,000$ each year for the years $12$ to $15$ of the project. Should they take on the project if it will return $$30,000$ at the end of each year for the first $3$ years, $$40,000$ at the end of each year in the next $4$ years, and $$60,000$ at the end of each year for the last $8$ years?

a$)$ Prepare a fully documented timeline of all cash flows $(5$ marks$)$

b$)$ Calculate the NPV of the project. $(10$ marks$)$

c$)$ Calculate the ROI of the project. $(5$ marks$)$

d$)$ Determine the payback period of the project $(5$ marks$)$

e$)$ Would you go ahead with the project? Why$/$why not? $(5$ marks$)$