Garret Industries turns over its inventoryseventimes each year: it has an average collection period of 45 days and an average payment period of 30 days.The firm's annual sales are $3million;Cost of goods sold is $2 million.Assume there is no difference in the investment per dollar of sales in inventory, receivables, and payables: 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.Fine the firm's cash conversion cycle and resource investment requirement if it make the following change simultaneously.

1.Shortens the average age of inventory by 5 days.

2.Slow down the speed 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 $15,000, what action would you recommend to the firm? Why?