Starware Software was founded last year to develop software for gaming applications. The founder initially invested $ $800$ comma $000$ and received $10$ million shares of stock. Starware 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 $ $1\mathrm{.}60$ million and wants to own $31\%$ of the company after the investment is completed.

a$.$ How many shares must the venture capitalist receive to end up with $31\%$ 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$)?$