Imagine the owner of a movie theater who has complete freedom in setting ticket prices. The more he charges, the fewer the people who can afford tickets. In a recent experiment the owner determined a precise relationship between the price of a ticket and average attendance. At a price of Rs 500 per ticket, 120 people attend a performance. Decreasing the price by Rs. 10 increases attendance by 15. Unfortunately, the increased attendance also comes at an increased cost. Every performance costs the owner Rs18000. Each attendee costs another Rs. 4. The owner would like to know the price at which he can make the highest profit. (Assume the answer is less than Rs. 500) [Adapted from "How to Design Programs". Currency changed from $ to Rs)
