Shark Inc. has determined that demand for its newest netbook model is
given by \ln{q}-3 \ln{p} + 0.002 p = 7 ,
where q is the number of netbooks Shark can sell at a price of p
dollars per unit. Shark
has determined that this model is valid for prices p \ge 100 . You
may ﬁnd it useful in this
problem to know that elasticity of demand is deﬁned to be E(p) =
-\frac{dq}{dp}\frac{p}{q}

Find

Your answer should only be in terms of

What price will maximize revenue. If the price is less than 100, write 'NA'.

You can earn partial credit on this problem.