# Question: consider the constantelasticity demand function q p where ...

###### Question details

Consider the constant-elasticity demand function Q = p^−ε,
where ε > 0.

a. Solve for the inverse demand function p(Q).

b. Calculate the demand price elasticity.

c. Show that p(Q)/MR(Q) is independent of the output level Q.
(Hint: Use the relationship between marginal revenue and the
elasticity of demand.)