Lingenburger Cheese Corporation has $6\mathrm{.}1$ million shares of common stock outstanding, $210,000$ shares of $3\mathrm{.}4$ percent preferred stock outstanding, par value of $$100$; and $95,000$ bonds with a semiannual coupon rate of $5\mathrm{.}1$ percent outstanding, par value $$1,000$ each. The common stock currently sells for $$75$ per share and has a beta of $1\mathrm{.}05,$ the preferred stock has a par value of $$100$ and currently sells for $$81$ per share, and the bonds have $15$ years to maturity and sell for $105$ percent of par. The market risk premium is $6\mathrm{.}8$ percent, T$-$bills are yielding $28$ percent, and the company's tax rate is $21$ percent.

a$.$ What are the firm's market value capital structure weights?

Note: Do not round intermediate calculations and round your answers to $4$ decimal places, e$.$g$.,\mathrm{.}1616.$

b$.$ If the company is evaluating a new investment project that has the same risk as the firm's typical project, what rate should the firm use to discount the project's cash flows?

Note: Do not round intermediate calculations enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$\backslash$table$[[$a$.$ Debt,$],[$Preferred stock,$0\mathrm{.}0296],[$Equity$,],[$b$.$ Discount rate,$8\mathrm{.}67\%$