A cinema hall fixes the ticket price at Rs x. At this price, it expects an attendance of (400−2x) spectators per show. The management wants the revenue from one show to be exactly Rs 16000. However, for marketing reasons, the ticket price must lie between Rs 60 and Rs 150, both inclusive.
(i) Write an equation in x that represents the required revenue condition.
(ii) Solve the equation to obtain both possible ticket prices.
(iii) Using the given price range, determine the ticket price that the management should fix.