You have $$120,000$ 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 $19$ percent and that has only $70$ percent of the risk of the overall market. If X has an expected return of $40$ percent and a beta of $1\mathrm{.}5,$ Y has an expected return of $19\mathrm{.}5$ percent and a beta of $1\mathrm{.}4,$ and the risk$-$free rate is $4$ percent, how much money will you invest in Stock Y$?$