You have $$10,000$ to invest in a stock portfolio. Your choices are Stock $x$ with an expected return of $17\mathrm{.}6$ percent and Stock $Y$ with an expected return of $11\mathrm{.}8$ percent. If your goal is to create a portfolio with an expected return of $15\mathrm{.}15$ percent, how much money will you invest in Stock $Y?$

Select one:

A$.$ $$3,986$

B$.$ $$6,014$

C$.$ $$5,776$

D$.$ $$4,224$

E$.$ $$4,875$