Big$$ Steve's, makers of swizzle$$ sticks, is considering the purchase of a new plastic stamping machine. This investment requires an initial outlay of $$$$105$ comma $000$ and will generate net cash inflows of $$$$19$ comma $000$ per year for $9$ years.

a$.$What is the$$ project's NPV using a discount rate of $8$ percent$?$ Should the project be$$ accepted? Why or why$$ not?

b$.$What is the$$ project's NPV using a discount rate of $16$percent$?$ Should the project be$$ accepted? Why or why$$ not?

c$.$What is this$$ project's internal rate of$$ return? Should the project be$$ accepted? Why or why$$ not?$$ Thus, in year $9$ the investment cash inflow totals $$$$5$ comma $100$ comma $000.$ Calculate the$$ project's NPV using a discount rate of $8$ percent.