Final answer:
The accounts payable balance at the end of February for a merchandising company, given the cost of goods sold and inventory requirements, is $61,920.
Step-by-step explanation:
To determine the accounts payable balance at the end of February for the merchandising company, we must first calculate the cost of goods sold (COGS) for each month and then the ending merchandise inventory that the company maintains. Afterward, we can calculate the merchandise purchases for February and what part of these purchases is unpaid by the end of February.
- January COGS = 60% of $112,000 = $67,200
- February COGS = 60% of $132,000 = $79,200
- March COGS = 60% of $122,000 = $73,200
The ending inventory for January, which is 30% of February's COGS, is 30% of $79,200 = $23,760.
The purchases for February are the sum of February COGS plus March's ending inventory minus January's ending inventory. So, February Purchases = $79,200 + ($73,200 * 30%) - $23,760 = $79,200 + $21,960 - $23,760 = $77,400.
The company pays for 20% of its purchases in the month of purchase and the rest in the following month. Therefore, for February, the company will still owe 80% of February purchases in March. February Accounts Payable = 80% of February Purchases = 80% of $77,400 = $61,920.