You are considering constructing a new plant in a remote wilderness area to process the ore from a planned mining operation. You anticipate that the plant will take a year to build and cost $$$$105$ million upfront. Once$$ built, it will generate cash flows of $$$$15$ million per year starting two years from today. In $21$years$,$ after its $20$th year of$$ operation, the mine will run out of ore and you expect to pay $$$$195$ million to shut the plant down and restore the area to its pristine state. Using a cost of capital of $12\%$:

a$.$ What is the NPV of the$$ project?

b$.$ Is using the IRR rule reliable for this$$ project? Explain.

c$.$ What are the IRRs of this$$ project?