The Opportunity Set represents the set of available portfolios an investor can choose from. We will now three of them.First, we have the risk$-$free asset. The risk$-$free rate of return is $5\%,$ so on the Risk$-$Return plane, we represent this return as the point $(0,5).$Second, we have the Tangent Portfolio. This portfolio has an expected return of $10\%$ and a standard deviation of $25\%.$ Thus, we represent it on the plane as $(25,10).$Third, we have an ETF with an impressive expected return of $17\%$ but a whopping standard deviation of $80\%.$ Therefore, we represent it on the plane as $(80,17).$Draw a Risk$-$Return plane showing these three points. Mark them as r$\_$f$,$ T$,$ and ETF.On the Risk$-$Return plane, the line passing through the points $(0,5)$ and $(25,10)$ represents all portfolios that mix the risk$-$free asset with the Tangent Portfolio.Specifically, let alpha $()$ be the weight of the Tangent Portfolio, so $1-$alpha is the weight of the risk$-$free asset. Then, the mix between the risk$-$free asset and the Tangent Portfolio is represented as the point:$(*\_$t$,$ r$\_$f $+($r$\_$t $-$ r$\_$f$)*)=(25,5+5).$Indeed, this line goes through the two points $(0,5)$ and $(25,10).$Draw this line on the Risk$-$Return plane. Cryptically, let's label this line CML$.$A client is enthusiastic about the ETF and cannot understand why you recommend investing in the Tangent Portfolio instead of the ETF.You explain that the ETF is too risky, but the client responds that he never intended to invest all his money in the stock market. He only wants to invest $10\%$ in the ETF.To illustrate why you recommend the Tangent Portfolio, you draw the line connecting the risk$-$free asset with the ETF. The line is:$(*\_$ETF, r$\_$f $+($r$\_$ETF $-$ r$\_$f$)*)=(80,5+12).$You plug in alpha $=0\mathrm{.}1,$ so the dot representing the client's desired portfolio is $(8,6\mathrm{.}2).$Mark this point, and label this point as C$,$ as this represents the Client's desired return.Find the point north of $(8,6\mathrm{.}2)$ located on the CML$.$ The point should be $(8,6\mathrm{.}6).$Now you can explain to the client that if he invests a fraction alpha$\_1$ in the Tangent Portfolio, and the rest in the risk$-$free asset, for the same risk, he will enjoy a $6\mathrm{.}6\%$ expected return.Find the point east of $(8,6\mathrm{.}2)$ located on the CML$.$ The point should be $(6,6\mathrm{.}2).$Now you can explain to the client that if he invests a fraction alpha$\_2$ in the Tangent Portfolio, and the rest in the risk$-$free asset, for the expected return of $6\mathrm{.}2\%,$ he will enjoy lower risk, captured by the $6\%$ standard deviation.What are alpha$\_1$ and alpha$\_2?$ You can answer this question as many times as you want until you get the right answer. However, if you want to pursue a career in finance, work out the solution.Group of answer choicesalpha$\_1=0\mathrm{.}32,$ alpha$\_2=0\mathrm{.}24$alpha$\_1=0\mathrm{.}5,$ alpha$\_2=0\mathrm{.}22$