I know it seems like too many questions but It is all one single long problem. thank you.

A manager of Lenovo is responsible for evaluating potential projects and financial decisions. Assume that the discount rate is 10%. Lenovo is considering a short-term project that develops a new laptop design (Project 1 ). This project has a cost of $6M today and will generate $0 next year and $12.1M in year 2. Provide a timeline for this project. What is the NPV of Project 1 ? Following the NPV rule, should the manager accept this project? What is the internal rate of return (IRR) for Project 1 ? Based on the IRR rule, should the manager accept this project? Does the IRR rule give the same answer as the NPV rule? The manager is also considering a long-term R\&D project on lightweight laptops (Project 2 ). The cost of this project is $20M today. The project will generate $4M in the first year and this cash flow is expected to grow by 2% each year forever. What is the NPV of this project? Should Musk accept this project? What is the internal rate of return (IRR) for Project 2 ? Based on the IRR rule, should the manager accept this project? Does the IRR rule give the same answer as the NPV rule? Projects 1 and 2 are mutually exclusive and the manager needs to choose only one project. He can choose one project based on either NPV or IRR. Do the NPV and IRR rules provide the same conclusion? If not, which project should he choose? Explain why. Suppose that the manager is 50 years old and that he is planning on retiring at age 70 . His salary this year is $5M and he expects his salary to increase at a rate of 4% per year. His first contribution to his retirement account will be made from next year (age 51), and at the end of each year, he will contribute 10% of his salary until he reach his retirement (that is, for 20 years). If the discount rate for his savings is 8%, what is the present value (at age 50 ) of his retirement savings