Suppose That a Firm's Production Function of Output Q Is $L = \sqrt { \frac { w Q } { 25 r } }$

Multiple Choice

Suppose that a firm's production function of output Q is a function of only two inputs, labor (L) and capital (K) and can be written Q = 25LK with marginal products MP_L = 25K and MP_K = 25L. Letting the wage rate for labor be w and the rental rate of capital be r, the equation for the firm's demand for labor would be:

A) $L = \sqrt { \frac { w Q } { 25 r } }$
B) $L = \sqrt { \frac { 25 r } { w Q } }$
C) $L = \sqrt { \frac { r Q } { 25 w } }$
D) $L = \sqrt { \frac { 25 w } { r Q } }$