Given the following information, what is the expected return on a portfolio that is invested $30$ percent in both Stocks A and $C,$ and $40$ percent in Stock $B?$

$\backslash$table$[[$State of$,$Probability of$,$Rate of Return if State Occurs:$],[$Economy$,$State Occurring,Stock A $(\%),$Stock B $(\%),$Stock C $(\%)],[$Boom$,\mathrm{.}08,15\mathrm{.}6,13\mathrm{.}2,12\mathrm{.}9],[$Normal$,\mathrm{.}87,11\mathrm{.}2,9\mathrm{.}6,8],[$Recession$,\mathrm{.}05,2\mathrm{.}5,1\mathrm{.}2,-5\mathrm{.}6]]$

Multiple Choice

$9\mathrm{.}44\%$

$11\mathrm{.}3\%$

$10\mathrm{.}69\%$

$9\mathrm{.}2\%$