Please assist with the given problem.
The company x has 15 million of sales, 2 million of inventories, 3 million of receivables, and 1 million of payables. Its cost of goods sold is 80% of sales, and it finances working capital with bank loans at an 8% rate. What is the company's cash convergence cycle? if company x could lower its inventories and receivables by 10% each and increase its payables by 10%, all without affecting sales or cost of goods sold, what would the new CCC be, how much cash would be freed up, and how would that affect pre-tax profits?