PLEASE ANSWER A$-$C Innovation Company is thinking about marketing a new software product. Upfront costs to market and develop the product are $\backslash (\backslash$$ $4\mathrm{.}99\backslash )$ million. The product is expected to generate profits of $\backslash (\backslash$$ $1\mathrm{.}19\backslash )$ million per year for $10$ years. The company will have to provide product support expected to cost $\backslash (\backslash$$ $95,000\backslash )$ per year in perpetuity. Assume all profits and expenses occur at the end of the year.

a$.$ What is the NPV of this investment if the cost of capital is $\backslash (6\mathrm{.}4\backslash \%\backslash )?$ Should the firm undertake the project? Repeat the analysis for discount rates of $\backslash (1\mathrm{.}1\backslash \%\backslash )$ and $\backslash (17\mathrm{.}5\backslash \%\backslash ),$ respectively.

b$.$ What is the IRR of this investment opportunity?

c$.$ What does the IRR rule indicate about this investment?

a$.$ What is the NPV of this investment if the cost of capital is $\backslash (6\mathrm{.}4\backslash \%\backslash )?$ Should the firm undertake the project? Repeat the analysis for discount rates of $\backslash (1\mathrm{.}1\backslash \%\backslash )$ and $\backslash (17\mathrm{.}5\backslash \%\backslash ),$ respectively.

If the cost of capital is $\backslash (6\mathrm{.}4\backslash \%\backslash ),$ the NPV will be $\backslash (\backslash$$ $\backslash )$

$($Round to the nearest dollar.$)$