You determined the following information for Big Rapid's Supplies: It has a receivables turnover rate of 23.5 a payables turnover rate of 12.5 and an inventory turnover rate of 19.15. What is the length of the firm's operating cycle

35 days

Explanation:

Receivables turnover rate = 23.5

Payables turnover rate = 12.5

Inventory turnover rate = 19.15

Length of firm's operating cycle :

(Days sales in inventory + average collection period)

Days' sales in inventory = (365 days / inventory turnover ratio)

Days' sales in inventory = (365 / 19.15)

Days's sales in inventory = 18.717 days

Average collection period : (365 / accounts receivable turnover ratio)

Average collection period = (365 / 23.5)

Average collection period = 15.531

(18.717 + 15.531)

= 34.248

= 35 days