3. P-Generator is a manufacturer of industrial portable power generators. The finance manager is concerned about the firm's management of working capital. a) The average collection period and average payment period are 28 days and 32 days respectively. The firm turns over its inventory 10 times each year (assume 365 days year), and currently has annual sales of $30 million. (1) Calculate the firm's operating cycle and cash conversion cycle. correct to 1 decimal place. (5 marks) (ii) Determine the amount of resources needed to support the firm's cash conversion cycle. (4 marks) b) P-Generator purchases 80 000 units per year of a component used in power generators production. The cost per order is $40, while the carry cost is $8 per unit per year. (1) Calculate the economic order quantity. (4 marks) (ii) Using your answer in (1), calculate the ordering cost, carrying cost and total inventory cost. (8 marks) c) Suppose P-Generator operates a 250 days per year, and maintains a minimum inventory level of 150 units