Question 4 A company manufactures and sells x unit of laptop bags per week. The revenue and cost equations are given as below: Revenue: R(x) = 2500x -0.05x2 Cost: C(x) = 30,000 + 900x Price = 2500 -0.05x (a) Determine the maximum weekly revenue and the number many laptop bags should be sold to achieve the maximum weekly revenue. (5 marks) (b) Find the price of each laptop bags to be sold to achieve its maximum revenue. (2 marks) (c) Find the profit function. (2 marks) (d) Determine the maximum weekly profit and the number many laptop bags should be sold to achieve maximum weekly profit. (5 marks) (e) Find the price of each laptop bag to be sold to achieve its maximum profit. (2 marks) (f) Find the quantity of laptop bags to be sold to break-even. (4 marks) (Total: 20 marks)