You currently have $$80,000$ invested in a portfolio that has an expected return of $11\%$ and a volatility of $8\%.$ Suppose the risk$-$free rate is $6\%,$ and there is another portfolio has an expected return of $25\%$ and a volatility of $14\%.$

a$.$ What portfolio has a higher expected return than your portfolio but with the same volatility?

b$.$ What portfolio has a lower volatility than your portfolio but with the same expected return?

a$.$ What portfolio has a higher expected return than your portfolio but with the same volatility? $($Round all intermediate values to five decimal places as needed.$)$

The portfolio should be composed of $ in the other portfolio, and the remaining $ in the risk$-$free investment. $($Round to the nearest dollar.$)$