You hold a portfolio of three stocks with the following investments and individual betas. Stock A $$18,000$ investment has a beta of $1\mathrm{.}50.$ Stock B $$30,000$ investment has a beta of $0\mathrm{.}80.$ Stock C $$15,000$ investment has a beta of $0\mathrm{.}25.$ a$)(4$ points$)$ What is the portfolio beta? Show all work and take proportion $($i$.$e$.,$ for Stock C it is $0\mathrm{.}2381)$ of portfolio out $4$ decimal places in the calculation of the portfolio beta.$$ b$)(4$ points$)$ If the current risk$-$free rate of return is $2\mathrm{.}0\%$ and the return on an average risk security, r$($m$),$ is $6\%,$ what is the required rate of return on the portfolio? Show all work. Final answer in percentage form taken out $2$ decimal places.