Your client has $$105,000$ invested in stock $A.$ She would like to build a two$-$stock portfolio by investing another $$105,000$ in either stock B or C$.$ She wants a portfolio with an expected return of at least $14\mathrm{.}5\%$ and as low a risk as possible, but the standard deviation must be no more than $40\%.$ What do you advise her to do$,$ and what will be the portfolio expected return and standard deviation?

$\backslash$table$[[,$Expected Return,Standard Deviation,Correlation with A$],[$A$,15\%,45\%,1\mathrm{.}00],[$B$,14\%,36\%,0\mathrm{.}14],[$C$,14\%,36\%,0\mathrm{.}27],[,,,]]$