You have $$100,000$ to invest in either Stock D$,$ Stock F$,$ or a risk$-$free asset. You must invest all of your money. Your goal is to create a portfolio that has an expected return of $11\mathrm{.}2$ percent. Assume $D$ has an expected return of $14\mathrm{.}7$ percent, F has an expected return of $10\mathrm{.}6$ percent, and the risk$-$free rate is $5\mathrm{.}85$ percent. If you invest $$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