2. Your firm produces two types of heaters in MA, one is a traditional model (T), the other is more energy efficient (E). The marginal cost per heater is $80. The demand in MA for the E-model is Q = 180-1.5P (Note! This is an inverse demand model, what should you do?), where P denotes the E-model's price and Q denotes the sales for the E-model heaters. A. [0.4PT] What is the optimal quantity Q that can maximize your firm's revenue from the E-model? B. [0.3PT] What is the optimal quantity Q that can maximize your firm's profit from the E-model? C. [0.3PT] Given the optimal quantity Q: you found in Question 2, what price should you set? D. [0.5PT] The traditional model is mainly shipped to other states, where the consumers have lower concerns regarding energy efficiency than MA consumers. The shipment cost per heater is $10 for the T-model. However, other states have their own heater producers, so the price elasticity of demand is large: Ep = -7 for your firm's T-model heaters. Derive the relationship between price and marginal cost with Ep in it and calculate the optimal price for the T-model out of state