Question $2$

$2$ pts

Suppose that a firm uses two inputs $(K$ & L$)$ to produce its final output $($Q$).$ Suppose also that the production functions for this firm is:

$Q=F(K,L)=4(LK{)}^{0\mathrm{.}5}$

Suppose also that the price of Labour is $4$ and the price of Capital is $4.$ The price of your final good is $47.$ Finally, assume that we are in the short$-$run, and so Capital is fixed at $K=10.$

What is the short$-$run profit$-$maximizing choice of Q$?$

Note: Please round your answer to two decimal places.