A monopolist faces an inverse demand function and a total cost function given by, P(Q) = AQ^-a, A>0 and 0 0 Find the own-price elasticity

A monopolist faces an inverse demand function and a total cost function given by,

P(Q) = AQ^-a, A>0 and 0

C(Q) = cQ^2, c>0

1. Find the own-price elasticity of the demand function. What do you observe?
2. Find the profit-maximizing level of output Q. Confirm that the second-order condition for a maximum is satisfied.