(a) The daily demand for movie rental from a movie theatre operator Silver Screen is given by the equation P = 5 - 0.5Q, where P is the price in dollar ($) and Q is the quantity demanded. The manager of Silver Screen claims that consumers are always sensitive to the price of movie rental and hence the company should always reduce the price to earn more revenues. Is this claim valid? What should the manager do to maximise the revenue? Explain. (8 marks)