Lingenburger Cheese Corporation has $8\mathrm{.}3$ million shares of common stock outstanding, $305,000$ shares of $3\mathrm{.}9$ percent preferred stock outstanding, par value of $$100$; and $190,000$ bonds with a semiannual coupon rate of $5\mathrm{.}2$ percent outstanding, par value $$2,000$ each. The common stock currently sells for $$56$ per share and has a beta of $1\mathrm{.}20,$ the preferred stock has a par value of $$100$ and currently sells for $$100$ per share, and the bonds have $19$ years to maturity and sell for $108$ percent of par. The market risk premium is $6\mathrm{.}8$ percent, T$-$bills are yielding $3\mathrm{.}2$ percent, and the company's tax rate is $25$ 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,,$],[$Equity$,,],[$b$.$ Discount rate,,$\%$