Suppose production occurs using a Cobb$-$Douglas production function

where represents the total factor productivity of the economy and are the inputs of physical capital and labor used in production. Assume that the economy possesses a fixed supply of physical capital,

$,$ and labor,

$.$

Suppose

$.$ What will be the equilibrium level of output in the economy?

Question $2$ options:

$100$

$400$

$16,000$

$40$

$1$