Suppose there is one firm in a market with linear demand function. The firm has a constant marginal cost of $9. The firm is currently charging $15 per unit, where the elasticity of demand is 3. The new CEO of this firm suspects that the current pricing strategy of this firm might not be profit maximizing. He hires you as an economic consultant to offer advice to this firm. Base on the information given, is the firm currently maximizing profits (choosing a monopoly price and quantity)? If not, should the firm raise its price or lower its price? Explain.