Primrose Corp's Cash conversion cycle: Calculating amount of cash being freed up and its effect on pre-tax profits.

Primrose Corp has $15 million of sales, $2 million of inventories, $3 million of receivables, and $1 million of payables. Its cost 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 (CCC)? If Primrose could lower its inventories and receivables by 10% each and increase its payables by 10%, all without affecting either 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?

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