Assume that output is produced using the Cobb$-$Douglas production function: Y $=$ K$^($a$)*($AL$)^(1-$a$),$ with A growing at a rate g$,$ L growing at a rate n$,$ and that the economy is at a stable steady state. Where $"^"$ denotes power: K$^($a$)$ is K in the power of a$,$ L$^(1-$a$)$ is L in the power of $1-$a Which of the following is correct $($you can pick more than one answers$)$: At the steady state capital per worker and output per worker will not grow At the steady state capital will grow at a rate n At the steady state output will grow at a rate n At the steady state capital will grow at a rate n$+$g At the steady state output will grow at a rate n$+$g At the steady state capital per worker and output per worker will grow at a rate g