In the Combined Solow-Romer Model, the Growth Rate of Total $Y _ { t } = A _ { t } K _ { t } ^ { a } L _ { y t } ^ { 1 - a }$

In the combined Solow-Romer model, the growth rate of total output, using the production function $Y _ { t } = A _ { t } K _ { t } ^ { a } L _ { y t } ^ { 1 - a }$ is given as:

A) $g _ { Y } = g _ { A } + a g _ { K }$
B) $g _ { Y } = g _ { A }$
C) $g _ { Y } = g _ { A } + a g _ { K } + ( 1 - a ) g _ { L Y }$
D) $g _ { Y } = g _ { A } + g _ { K } + g _ { L Y }$
E) $g _ { Y } = g _ { A } \times a g _ { K } \times ( 1 - a ) g _ { L Y }$