You have started a company and are in luck $$ a venture capitalist has offered to invest. You own $100\%$ of the company with $4\mathrm{.}54$ million shares. The VC offers $$1\mathrm{.}07$ million for $780,000$ 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?

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

The implied price per share will be $$1\mathrm{.}37$ per share. $($Round to the nearest cent.$)$

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

The post$-$money valuation will be $ million. $($Round to two decimal places.$)$