Which of the following statements are correct?

A. A monopolist can charge any price to maximize profits.

B. The slope of monopoly's MR curve is twice that of AR curve.

C. A necessary condition for monopoly's long-run equilibrium is AC = AR = MC = MR.

D. A monopolist is in equilibrium where MC = MR.

E. Equilibrium price of a monopolist is always higher than that of a competitive firm.

Choose the correct answer from the options given below: