Primrose corp has $15 million of sales, $2 million of inventory, $3 million of receivables, and $1 million of payables. it's cost of goods sold is 80% of sales and it finances working capital with bank loans at an 8% rate. What is Primrose's Cash Conversion Cycle? If Primrose could lower it's inventories and receivables by 10% each, and increase it's payables by 10%, all without affecting sales or cost of goods sold, what would be the new CCC, how much cash would be freed up and how would that affect pre-tax profits?

Please show work. Thank you