Tiger Software was founded last year to develop software for gaming applications. The founder initially invested $$900,000$ and received $9$ million shares. Tiger now needs to raise a second round of capital, and it has identified a venture capitalist who is interested in investing. This venture capitalist will invest $$1\mathrm{.}2$ million and wants to own $24\%$ of the company after the investment is completed.a$.$ How many shares must the venture capitalist receive to end up with $24\%$ of the company? What is the implied price per share of this funding round?b$.$ What will the value of the whole firm be after this investment $($the post$-$money valuation$)?$Question content area bottomPart $1$a$.$ The venture capitalist will receive $2\mathrm{.}842$ million shares. $($Round to three decimal places.$)$Part $2$The implied price per share is $ $0\mathrm{.}42$ per share.$($Round to the nearest cent.$)$Part $3$b$.$ The value of the firm will be $ $5$ million. $($Round to three decimal places.$)$