$6.(15$ pts$)$ Chemtech wants to have a venture investor inject $$0\mathrm{.}5$ million at Year $0$ and $$1$ million at Year $2.$ The founder has $300,000$ shares. The founder expects to make a profit until Year $4$ when the net income is expected to be $ $400,000.$ The common stock of Biosystems, a comparable firm, currently trades in the over$-$the$-$ counter at $$30$ per share. Biosystems' net income for the most recent year was $$300,000$ and the firm has $150,000$ shares of common stock outstanding. Venture investors want a $50\%$ and $30\%$ compound annual rate of return for rounds $1$ and $2,$ respectively. A$.$ What percentage of ownership is sold during the first round? During the second round? $(5$ points$)$ B$.$ How many shares will be issued in rounds $1$ and $2?(5$ points$)$ C$.$ If $6$ percent of total equity in Year $4$ is set aside for incentive compensation, what is the second$-$round share price? $(5$ points$)$