You have started a company and are in luck$-$a venture capitalist has offered to invest. You own $100\%$ of the company

with $4\mathrm{.}57$ million shares. The VC offers $$1\mathrm{.}06$ million for $850,000$ new shares.

a$.$ What is the implied price per share?

b$.$ What is the post$-$money valuation?

c$.$ What fraction of the firm will you own after the investment?