I don't understand this. Please thoroughly explain. I$\text{'}$m trying to complete with paper and pencil. Please fully explain how I show calculate not understanding how.P$15-1$ Cash conversion cycle American Products is concerned about managing cash efficiently.

On average, inventories have an age of $80$ days, and accounts receivable are collected in $40$ days.

Accounts payable are paid approximately $30$ days after they arise. The firm has annual sales of

about $$30$ million. Goods sold total $$20$ million, and purchases are $$15$ million.

a$.$ Calculate the firm's operating cycle.

b$.$ Calculate the firm's cash conversion cycle.

c$.$ Calculate the amount of resources needed to support the firm's cash conversion cycle.

d$.$ Discuss how management might be able to reduce the cash conversion cycle.