PLEASE BE DESCRIPTIVE AND SHOW ALL WORK (INCLUDING FORMULAS).

P153 Multiple changes in cash conversion cycle Garrett Industries turns over its inventory 6 times each year; it has an average collection period of 45 days and an average pay- ment period of 30 days. The firm's annual sales are $3 million. Assume there is no difference in the investment per dollar of sales in inventory, receivables, and pay- ables, and assume a 365-day year. a. Calculate the firm's cash conversion cycle, its daily cash operating expenditure, and the amount of resources needed to support its cash conversion cycle. b. Find the firm's cash conversion cycle and resource investment requirement if it makes the following changes simultaneously. (1) Shortens the average age of inventory by 5 days. (2) Speeds the collection of accounts receivable by an average of 10 days. (3) Extends the average payment period by 10 days. c. If the firm pays 13% for its resource investment, by how much, if anything, could it increase its annual profit as a result of the changes in part b? d. If the annual cost of achieving the profit in part c is $35,000, what action would you recommend to the firm? Why