Your$$ start$-$up company needs capital. Right$$ now, you own $100\%$ of the firm with $9\mathrm{.}5$ million shares. You have received two offers from venture capitalists. The first offers to invest $$2\mathrm{.}97$ million for $1\mathrm{.}15$ million new shares. The second offers $$2\mathrm{.}05$ million for $490,000$ new shares.

a$.$ What is the first$$ offer's post$-$money valuation of the$$ firm?

b$.$ What is the second$$ offer's post$-$money valuation of the$$ firm?

c$.$ What is the difference in the percentage dilution caused by each$$ offer?

Question content area bottom

Part $1$

a$.$ What is the first$$ offer's post$-$money valuation of the$$ firm?

The$$ post$-$money valuation will be $$$enter your response here. $($Round to the nearest$$ dollar.$)$

Part $2$

b$.$ What is the second$$ offer's post$-$money valuation of the$$ firm?

The$$ post$-$money valuation will be $$$enter your response here. $($Round to the nearest$$ dollar.$)$

Part $3$

c$.$ What is the difference in the percentage dilution caused by each$$ offer?

Offer $1$ dilution will be enter your response here. $($Round to three decimal$$ places.$)$

Part $4$

Offer $2$ dilution will be enter your response here. $($Round to three decimal$$ places.$)$

Part $5$

The difference in dilution will be enter your response here.$($Round to three decimal$$ places.$)$