Your start$-$up company needs capital. Right now, you own $100\%$ of the firm with $9\mathrm{.}79$ million shares. You have received two offers from venture capitalists. The first offers to invest $$2\mathrm{.}93$ million for

$1\mathrm{.}17$ million new shares. The second offers $$1\mathrm{.}96$ million for $450,000$ 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?

d$.$ What is the dilution per dollar invested for each offer?

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

The first offer's post$-$money valuation will be $ $($Round to the nearest dollar.$)$

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

The second offer's post$-$money valuation will be $,($Round to the nearest dollar.$)$

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

The dilution caused by the first offer will be

$($Round to three decimal places.$)$

The dilution caused by the second offer will be

$($Round to three decimal places.$)$

The difference in dilution will be $($Round to three decimal places.$)$

d$.$ What is the dilution per dollar invested for each offer?

The dilution per dollar invested for the first offer will be $.($Round to nine decimal places.$)$

The dilution per dollar invested for the second offer will be

$($Round to nine decimal places.$)$