The manager of XYZ company is considering an investment in a new machine which will generate additional revenue for the company for the next 3 years. The revenue (cash inflow) is as follows: year 1:$5,000, year 2:$8,000, year 3:$500. The maintenance expense (cash out flow) for the machine is as follows: year 1:$1,000, year 2:$2,000, year 3:$8,000. The rate of return this company can achieve on other similar investment projects is 10% per year. The price of the machine (now) is $3,000. a) Find the net cash flow of this project over the investment period. What is the NPV of this investment? Should the manager make the investment based on the calculations? b) Find the NPVs of this investment when the discount rates are: 0%.10%.12%.30%60% and 70\%. Draw the NPV-Discount Rate Profile. c) Estimate the IRR(s) of this investment. How many IRRs do you found? Based on the manager's current investment rule: accept project if IRR > required rate of return, should the investment be undertaken? Is this a good decision? Explain. d) Suppose the required return is now 10\%. Find the Modified IRR of this project assuming the borrowing rate is also 10%. Should the manager accept the project based on the Modified IRR