You have $$100,000$ to invest in either Stock D$,$ Stock F$,$ or a risk$-$free asset. You must invest all of your money. Your goal is to create a portfolio that has an expected return of $11\mathrm{.}4$ percent. Assume $D$ has an expected return of $14\mathrm{.}9$ percent, $F$ has an expected return of $10\mathrm{.}8$ percent, and the risk$-$free rate is $5\mathrm{.}95$ percent. If you invest $$50,000$ in Stock $D,$ how much will you invest in Stock $F?$

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

Amount of Stock F to buy