In this question, you will study the Solow growth model with a Cobb$-$Douglas production

function. Consider the following model of economic growth:

$+1=(1)+(1)$

$=$

$$

$1(2)$

$=(3)$

$=(4)$

$=$ for all $(5)$

$=$ for all $(6)$

$($a$)(10$ points$)$ Is the production function $(2)$ characterized by constant returns to scale?

Explain.