Stoney Brooke, Incorporated, has sales of $1,040,000 and cost of goods sold of $838,300. The firm had a beginning inventory of $43,000 and an ending inventory of $58,000. What is the length of the inventory period? Assume 365 days per year.Multiple Choice21.69 days18.47 days21.99 days17.72 days18.72 days
Question
Stoney Brooke, Incorporated, has sales of 838,300. The firm had a beginning inventory of 58,000. What is the length of the inventory period? Assume 365 days per year.Multiple Choice21.69 days18.47 days21.99 days17.72 days18.72 days
Solution
To calculate the length of the inventory period, we first need to calculate the inventory turnover ratio. The inventory turnover ratio is calculated as:
Inventory Turnover Ratio = Cost of Goods Sold / Average Inventory
The average inventory is calculated as:
Average Inventory = (Beginning Inventory + Ending Inventory) / 2
Substituting the given values:
Average Inventory = (43,000 + 58,000) / 2 = $50,500
Inventory Turnover Ratio = 838,300 / 50,500 = 16.60 times
The length of the inventory period (also known as the days' sales in inventory) is then calculated as:
Days' Sales in Inventory = 365 / Inventory Turnover Ratio
Substituting the calculated inventory turnover ratio:
Days' Sales in Inventory = 365 / 16.60 = 21.99 days
So, the length of the inventory period is 21.99 days. Therefore, the correct answer is 21.99 days.
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