Jumbo Juice's preferred stock pays a constant dividend equal to $$4\mathrm{.}75$ per share. The firm's marginal tax rate is $40\%.$ Jumbo Juice incurs a $5\%$ flotation cost each time it issues preferred stock.

a$.$ If the firm issues $10,000$ shares of preferred stock at $$50$ per share, how much of the total value of the issue will the firm be able to use $($receive$)?$

b$.$ What is Jumbo Juice's cost of preferred stock?