Lingenburger Cheese Corporation has $8\mathrm{.}1$ million shares of common stock outstanding, $300,000$ shares of $4\mathrm{.}1$ percent preferred stock outstanding, par value of $$100$; and $185,000$ bonds with a semiannual coupon rate of $5\mathrm{.}5$ percent outstanding, par value $$2,000$ each. The common stock currently sells for $$57$ per share and has a beta of $1\mathrm{.}15,$ the preferred stock has a par value of $$100$ and currently sells for $$99$ per share, and the bonds have $18$ years to maturity and sell for $107$ percent of par. The market risk premium is $6\mathrm{.}6$ percent, T$-$bills are yielding $3\mathrm{.}3$ percent, and the company's tax rate is $24$ 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$.,1616.$

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,,$],[$Equity$,,],[$b$.$ Discount rate,$7\mathrm{.}47,\%$