Suppose k, l, and A grow at constant rates given by $\bar { g } _ { k }$' $\bar {g } _ { y }$ and $\bar { g } _ { A }$' The growth rate of y if $y = A k ^ { a } l ^ { ( 1 - a ) }$ is $\bar { g } _ { y } = \bar { g } _ { A } + a \bar { g } _ { k } + ( 1 - a ) \bar { g } _ { i }$,

Question

Suppose k, l, and A grow at constant rates given by $\bar { g } _ { k }$'  $\bar {g } _ { y }$  and $\bar { g } _ { A }$'  The growth rate of y if $y = A k ^ { a } l ^ { ( 1 - a ) }$  is $\bar { g } _ { y } = \bar { g } _ { A } + a \bar { g } _ { k } + ( 1 - a ) \bar { g } _ { i }$,

Quizplus · Accepted Answer

The growth rate of a product of variables is the sum of the growth rates of each variable, weighted by their respective exponents in the product.

Suppose K, L, and a Grow at Constant Rates Given gˉk\bar { g } _ { k }gˉ​k​

Suppose K, L, and a Grow at Constant Rates Given $\bar { g } _ { k }$