A company is considering investing in a new project, and they want to determine whether it will be financially viable and what the tax implications of the investment will be. The project will require an initial investment of $10 million, and it is expected to generate the following annual cash flows over a period of 10 years:

Year 1: $2 million
Year 2: $3 million
Year 3: $4 million
Year 4: $5 million
Year 5: $6 million
Year 6: $7 million
Year 7: $8 million
Year 8: $9 million
Year 9: $10 million
Year 10: $11 million

The company's corporate tax rate is 30%, and they use a discount rate of 10% to evaluate investment projects.

a) Calculate the net present value (NPV) of the project. Should the company invest in the project? Show your calculations and explain your reasoning.

b) Suppose the company is able to claim a 50% tax credit on the initial investment in the project. How does this affect the NPV of the project, and should the company invest in the project under these circumstances?

c) Suppose the company decides to finance the project using debt, and they are able to borrow the entire $10 million required for the initial investment at a 6% interest rate. How does this affect the NPV of the project, and should the company invest in the project under these circumstances?

d) Based on your analysis in parts (a), (b), and (c), make a recommendation to the company as to whether they should invest in the project or not. Explain your reasoning and any assumptions you have made in your analysis.