what is the cash cycle

Pet Treats, Inc. specializes in gourmet pet treats and receives all income from sales and has the following account details: Last year's ending payables and receivables were $125M and $250M, respectively, while the cash balance was $80M. Historically, the average receivables turnover ratio has been 6.0833, while the average payables period has been 45 days. Recently, purchases have been approximately one half of sales but are purchased a quarter in advance. The firm likes to maintain a minimum balance of $50M. Other relevant expenses include the following: Wages, taxes, and other expense are 30% of sales, Interest and dividend payments are $50M, and a major capital expenditure of $200M is expected in the second quarter. The following sales estimates are projected: Sales estimates (in millions): Q1=500;Q2=600;Q3=650;Q4=800; Q1 next year =550 If the average inventory period is twice the receivables period, what is the cash cycle? Assume 365 day years. Round to the nearest day