The probability the economy will boom is $20$ percent, while it is $70$ percent for a normal economy, and $10$ percent for a recession. Stock A will return $18$ percent in a boom, $11$ percent in a normal economy, and lose $10$ percent in a recession. Stock B will return $9$ percent in boom, $7$ percent in a normal economy, and $4$ percent in a recession. Stock C will return $6$ percent in a boom, $9$ percent in a normal economy, and $13$ percent in a recession. What is the expected return on a portfolio which is invested $20$ percent in Stock A$,50$ percent in Stock B$,$ and $30$ percent in Stock C$?$