Natcher Corporation’s accounts receivable at the end of Year 2 was $128,000 and its accounts receivable at the end of Year 1 was $131,000. The company’s inventory at the end of Year 2 was $128,000 and its inventory at the end of Year 1 was $122,000. Sales, all on account, amounted to $1,382,000 in Year 2. Cost of goods sold amounted to $801,000 in Year 2. The company’s operating cycle for Year 2 is closest to:
A) 44.8 days
B) 67.7 days
C) 63.4 days
D) 91.1 days
Answer option d) 91.1days
Inventory turnover = cost of goods sold/average inventory
Average inventory =opening+ending/2
=$122000+$128000/2
.= $125000
Inventory turnover = $801000/$125000 = 6.41
Average sales Period = 365/inventory turnover
= 365/6.41
= 56.9
Accounts receivable turnover = sales/average Accounts receivable
Average Accounts receivable = opening+ending/2
. = $131000+$128000/2
= $129500
Accounts receivable turnover = $1382000/$129500= 10.67
Average collection period = 365/Accounts receivable turnover
= 365/10.67 = 34.2
Operating cycle = average sales Period + average collection period
= 56.9+34.1 = 91.1 days
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