Answer:
190.27 days
Step-by-step explanation:
Average accounts receivable = (Ending accounts receivable 2018 + Ending accounts receivable 2019) / 2
Average accounts receivable = ($46,000 + $48,000)/2
Average accounts receivable = $47,000
Average accounts payable = (Ending accounts payable 2018 + Ending accounts payable 2019) / 2
Average accounts payable = ($38,000 + $36,000)/2
Average accounts payable = $37,000
Average inventory = (Ending inventory 2018 + Ending inventory 2019) / 2
Average inventory = ($154,000 + $149,000)/2
Average inventory = $151,500
Days sales outstanding = (Average accounts receivable*365 days)/Sales
Days sales outstanding = ($47,000*365 days)/$413,000
Days sales outstanding = $17,155,000/$413,000
Days sales outstanding = 41.54 days
Days payable outstanding = (Average accounts payable*365 days)/Cost of goods sold
Days payable outstanding = ($37,000*365 days)/$281,000
Days payable outstanding = $13,505,000/$281,000
Days payable outstanding = 48.06 days
Days inventory outstanding = (Average inventory*365 days)/Cost of goods sold
Days inventory outstanding = ($151,500*365 days)/$281,000
Days inventory outstanding = $55,297,500/$281,000
Days inventory outstanding = 196.79 days
Cash cycle = Days sales outstanding + Days inventory outstanding - Days payable outstanding
Cash cycle = 41.54 days + 196.79 days - 48.06 days
Cash cycle = 190.27 days
Hence, the cash cycle for 2019 based on a 365-day year is 190.27 days