You have $$20,000$ to invest and want to create a portfolio with all of the available investments you can purchase. The current $t-$bill rate is $6\%.$ In addition you see two risky assets XOM and CVX$.$ The optimal balance between the two risky assets should be $65\%$ for XOM and $35\%$ CVX$.$ The stock labeled XOM is expected to provide $20\%$ return, and CVX should provide $12\%.$ If you want your complete portfolio to have a target return of $11\%,$ approximately how much money would you put in the risk free asset, XOM and CVX$.$ Please make sure you clearly define the dollar amounts going into each asset. Show your work!!