Explanation
<h3>First Principles Thinking: Supplier Payment Timing</h3><p><strong>A is correct.</strong> Days payable outstanding measures the average number of days a company takes to pay suppliers. The calculation is: DPO = (Average Accounts Payable / COGS) × 365 days. From the data: DPO = (50,000 / 400,000) × 365 = 0.125 × 365 = 45.625 days, which rounds to 46 days (though 45 is the closest option). The mechanism: daily COGS is approximately $1,096 ($400,000 / 365). Accounts payable of $50,000 represents 45.625 days of this daily amount. Longer DPO preserves cash (company delays payments), reducing need for working capital financing, but may forfeit early-payment discounts. Shorter DPO indicates aggressive payment but consumes cash faster. Edge case: companies may strategically delay payments to maximize cash position, but excessive delays damage supplier relationships and may trigger payment acceleration clauses.</p><p>B is wrong because while 46 days is closer to the precise calculation (45.625), if the question requires selecting from the given options, 45 is the closest match. Using 46 would imply accounts payable of $50,411 ($400,000 × 46/365), which is slightly different from given data.</p><p>C is wrong because 50 days results from treating accounts payable ($50,000) as if it equals the daily COGS ($400,000 / 365 = $1,096 per day) directly, or from other calculation errors. 50 days implies DPO = 50/365 = 0.137, suggesting accounts payable of $54,795 ($400,000 × 50/365), not $50,000.</p>