Course: Microeconomics - Discriminating Monopoly Consider a firm that owns a patent on technology that makes concrete production less harmful to the environment (resulting in a monopoly on this technology). The firm owns 2 plants: one domestic (D) and one located in Australia (A). The demand for its technology is p(Q) = 250 - 10 Q, where Q = q_D + q_A is the aggregate output. The domestic plant has total cost CT_D = 5 + 10q_D + 4(q_D)² and the Australian plant has total cost CT_A = 15 + 4q_A + 5(q_A)². Find the optimal output at each plant and the price it will charge.