A monopolist has the constant-elasticity of demand curve Q = aP-b, where a > 0 and b > 0. (i) The monopolist has marginal cost of $100 and b = 4. What is the monopolist's profit-maximizing price? (ii) The monopolist now has marginal cost of $100 and b = 6. What is the monopolist's new profit-maximizing price? (iii) Compare your answers in Q1.(i) and Q1.(ii) above and briefly discuss the relationship between the price elasticity of demand and the monopolist's optimal price.