A Country in a Steady State Invests 50% of Its $\gamma$

Multiple Choice

A country in a steady state invests 50% of its output in new capital ( $\gamma$ = 0.5) and depreciates 5% of its capital stock ( $\delta$ = .05) . With a capital stock of 100 units, labor remains constant. Because of technological innovation, production improves from Y = $\sqrt { K }$ to Y = 2 $\sqrt { K }$
. What is the new steady-state level of output?

A) 10
B) 20
C) 40
D) 80