American Products is concerned about managing cash efficiently. On average, inventories have an age of 90 days, and accounts receivables are collected in 60 days. Accounts payable are paid on average 30 days after they arise. The firm has annual credit sales of $36 million, cost of goods sold total $24 million, and purchases are $18 million. 1. What is operating cycle? Calculate the firm's operating cycle and explain what it means 2. What is cash cycle? Calculate the firm's cash cycle and explain what it means. 3. Calculate the amount of cash needed to support the firm's cash cycle 4. Discuss how management might be able to reduce the cash cycle. What is the benefit to have a short cash cycle