You are a manager at Northern Fibre, which is considering expanding its operations in synthetic fibre manufacturing. Your boss comes into your office, drops a consultant's report on your desk,

and complains, $"$We owe these consultants $$1\mathrm{.}6$ million for this report, and I am not sure their analysis makes sense. Before we spend the $$28$ million on new equipment needed for this project,

look it over and give me your opinion." You open the report and find the following estimates $($in millions of dollars$)$:

All of the estimates in the report seem correct. You note that the consultants used straight$-$line depreciation for the new equipment that will be purchased today $($year $0),$ which is what the

accounting department recommended for financial reporting purposes. CRA allows a CCA rate of $45\%$ on the equipment for tax purposes. The report concludes that because the project will

increase earnings by $$3\mathrm{.}744$ million per year for $10$ years, the project is worth $$37\mathrm{.}44$ million. You think back to your glory days in finance class and realize there is more work to be done!

First you note that the consultants have not factored in the fact that the project will require $$13$ million in working capital up front $($year $0),$ which will be fully recovered in year $10.$ Next you see they

have attributed $$2\mathrm{.}24$ million of selling, general and administrative expenses to the project, but you know that $$1\mathrm{.}12$ million of this amount is overhead that will be incurred even if the project is not

accepted. Finally, you know that accounting earnings are not the right thing to focus on$!$

a$.$ Given the available information, what are the free cash flows in years $0$ through $10$ that should be used to evaluate the proposed project?