The Copeland Roofing Company has two types of clients: builders and home-owners. The cost of roofing an average home is $2,000 (TC = 2000Q). The demand functions for the clients are: QB = 120 - 0.02P (builders) QH = 80 - 0.01P (homeowners) (a) Calculate how the profit-maximizing owner would want to price his roofing services if his firm charges the same price to all buyers. How much would profits be? (b) Now, suppose that you can segment the market and charge different prices to different groups of buyers. What are the profit-maximizing prices and outputs for the two groups of customers? What is the total profit? (c) Calculate the price elasticity of demand for the two market segments. Based on this information do the prices obtained in part (b) above make sense? Explain.