Question 4 An audio system manufacturer assembles and sells x units of specialized audio system per month. The revenue, cost and price functions are given as below: Revenue: R(x) = 8,000x - 0.2x2 Cost: C(x) = 200,000 + 80x Price : p(x) = 8,000 - 0.2x (a) Determine the maximum monthly revenue and the number of units of audio system that should be sold to achieve the maximum monthly revenue. (5 marks) (6) Find the price of each audio system to be sold to achieve its maximum revenue. (2 marks) (c) Find the profit function. (2 marks) (d) Determine the maximum monthly profit and the number of units of audio system that should be sold to achieve maximum monthly profit. (5 marks) (e) Find the price of each audio system to be sold to achieve its maximum profit. (2 marks) (1) Find the quantity of audio system to be sold to break-even. (4 marks)