A Firm's Production Process Uses Labor $L$ , and Capital $K$ , to Produce an Output

Multiple Choice

A firm's production process uses labor, $L$ , and capital, $K$ , to produce an output, $Q$ according to the function $Q = 25 K L$ . Let labor be fixed at level $L = L$ . What is the cost minimizing level of capital that the firm must use to produce a target level of output, $Q = Q$ ?

A) $K = \frac { \bar { L } } { 25 Q }$
B) $K = 25 \bar { L } Q$
C) $K = \frac { \bar { Q } } { 25 \bar { L } }$
D) $K = \frac { Q ^ { 2 } } { 2500 \bar { L } }$