You have $$130,000$ to invest in a portfolio containing Stock X$,$ Stock Y$,$ and a risk$-$free asset. You must invest all of your money. Your goal is to create a portfolio that has an expected return of $24$ percent and that has only $80$ percent of the risk of the overall market. If X has an expected return of $37$ percent and a beta of $1\mathrm{.}4,$ Y has an expected return of $22$ percent and a beta of $1\mathrm{.}9,$ and the risk$-$free rate is $6\mathrm{.}8$ percent, how much money will you invest in Stock Y$?$