You are considering investing $$1,000$ in a complete portfolio. The complete portfolio is composed of Treasury bills that pay $5\%$ and a risky portfolio, P$,$ constructed with two risky securities$,$ X and Y$.$ The optimal weights of X and Y in P are $60\%$ and $40\%,$ respectively. X has an expected rate of return of $14\%,$ and Y has an expected rate of return of $10\%.$ To form a complete portfolio with an expected rate of return of $15\%,$ you should invest $\_\_\_\_\_\_\_\_\_\_$ of your complete portfolio in Treasury bills and it is a