You have $$100,000$ to invest in either stock D$,$ stock F$,$ or a risk$-$free asset. You must invest all of your money. Your goal is to create a portfolio that has an expected return of $10\mathrm{.}7$ percent. Assume D has an expected return of $14\mathrm{.}2$ percent, F has an expected return of $10\mathrm{.}1$ percent, and the risk$-$free rate is $5\mathrm{.}6$ percent. If you invest $$50,000$ in stock D$,$ how much will you invest in stock F$?$