MMLU-Pro Question 5909

Okay, let's try to figure out this problem step by step. So, the question is about Dash Co.'s utility bills and determining the liability they should report on their June 30 balance sheet. First, I need to understand the information given. There are three periods with their respective amounts and dates paid. Let me list them out clearly: - April 16 – May 15: $5,000 paid on June 1 - May 16 – June 15: $6,000 paid on July 1 - June 16 – July 15: $8,000 paid on August 1 The balance sheet date is June 30. So, we need to find out which of these utility bills are liabilities as of June 30. Liabilities in accounting are obligations that the company has to pay. For utilities, the company typically accrues the expense when the service is used, even if the payment hasn't been made yet. So, the key here is to determine which periods' utilities have been incurred but not yet paid by June 30. Let's break down each period: 1. **April 16 – May 15 ($5,000 paid on June 1):** This period ended on May 15. The payment was made on June 1. Since the payment was made after the end of May, but the balance sheet date is June 30, we need to see if the liability for this period exists as of June 30. Wait, but the payment was made on June 1, which is before June 30. So, by June 30, this amount was already paid. Therefore, there's no liability for this period as of June 30. Because the payment was made on June 1, which is within the month of June. Wait, the payment was made on June 1, so that's a payment that was made in June. But the liability would have been recorded when the expense was incurred, which was during the period April 16 to May 15. However, since the payment was made on June 1, which is after the period ended, but before June 30, the liability was accrued in May and paid in June. But as of June 30, the payment has been made, so no liability remains. Wait, maybe I should think about when the expense is recognized. Typically, for utilities, the company would accrue the expense at the end of the period. So, for the period April 16 to May 15, the expense would be recognized in May (assuming the company's fiscal month ends on May 31). Wait, but the problem doesn't specify the company's fiscal period. Hmm. Maybe the periods are like utility billing periods, not the company's fiscal periods. Let's see. The company's balance sheet is as of June 30. So, we need to see which utility bills are not yet paid by June 30. Let's check each: - The first period (April 16-May 15) was paid on June 1. So payment was made on June 1, which is before June 30. Therefore, the liability for this period was paid in June. Since the payment was made before June 30, there's no liability left as of June 30. - The second period (May 16-June 15) was paid on July 1. So, the payment is due after June 30. Therefore, as of June 30, the company has incurred this expense but hasn't paid it yet. So this should be a liability. - The third period (June 16-July 15) was paid on August 1. So again, payment is after June 30. But wait, does the expense for this period count as incurred by June 30? Wait, the period June 16-July 15 is after June 30. So the utility usage for June 16 to June 30 is part of the June 30 balance sheet period, right? Because the balance sheet date is June 30. So the period June 16 to July 15 includes part of June (the 16th to 30th) and part of July. So, the expense incurred from June 16 to June 30 should be accrued as a liability as of June 30. But how do we split the $8,000 for the period June 16-July 15? Because the period is 30 days (assuming June has 30 days, July 15 is the 15th). Wait, June has 30 days, so from June 16 to June 30 is 15 days (30 - 16 +1 = 15 days). Then from July 1 to July 15 is another 15 days. So the total period is 30 days. Therefore, the $8,000 is for a 30-day period. So the portion of the expense that relates to June (15 days) would be (15/30)*$8,000 = $4,000. Similarly, the May 16-June 15 period: May 16 to June 15 is exactly 30 days. Wait, May has 31 days, so from May 16 to May 31 is 16 days, and June 1 to June 15 is 15 days. Wait, that's 31 days? Wait, May 16 to June 15: Let's count. May 16 to May 31: 31 - 15 = 16 days (since 31-16+1=16). Then June 1 to June 15: 15 days. Total is 16+15=31 days. Hmm, but the problem says it's a 30-day period. Maybe it's assuming 30 days each. Maybe the problem is simplified, so each period is 30 days. Alternatively, the problem may not be about splitting the period into days but rather which periods have expenses that are accrued as of June 30. Wait, the key point is: which utility bills have not been paid by June 30? For the first period (April 16-May 15), paid on June 1. So paid in June, before June 30. Therefore, no liability on June 30. Second period (May 16-June 15), paid on July 1. So payment is after June 30. So the expense for this period is a liability as of June 30. Third period (June 16-July 15), paid on August 1. The payment is after June 30, but the period includes part of June. Wait, the period is June 16 to July 15. So the expense for June 16 to June 30 is part of the June period. Since the balance sheet is June 30, we need to accrue the portion of the third period that's used up by June 30. So for the third period: the billing period is June 16-July 15. But the company's balance sheet is June 30. So they've used the service from June 16 to June 30. That's 15 days (assuming June 16 to 30 is 15 days: 30-16+1=15). The total period is 30 days (June 16 to July 15 is 30 days: 15 days in June and 15 days in July). Therefore, 15 days in June, 15 days in July. So the portion of the $8,000 that applies to June is (15/30)*8,000 = $4,000. So the total liability as of June 30 would be the second period's entire $6,000 plus the portion of the third period's $4,000, totaling $10,000. Wait, but let me check the second period: May 16 - June 15. The balance sheet is June 30, so this period ends on June 15. So the entire $6,000 expense is incurred by June 15, but paid on July 1. So yes, as of June 30, the liability is still there. But wait, if the period is up to June 15, then by June 30, the company would have incurred the entire $6,000, so it's a liability. So yes, $6,000 plus the part of the third period. So total liability would be $6,000 (for May 16 - June 15) + $4,000 (for June 16 - June 30) = $10,000. Looking at the answer choices, option G is $10,000. Wait, but let me double-check. The problem states that the utility bill for May 16 - June 15 is $6,000 and was paid on July 1. So as of June 30, the payment hasn't been made yet. So yes, that's a liability of $6,000. For the June 16 - July 15 period, $8,000 paid on August 1. So for June 30, the company has used the utility service from June 16 to June 30, which is 15 days (assuming each month has 30 days, but June has 30 days). So June 16 to June 30 is 15 days. So 15/30 of $8,000 = $4,000. So total liability is $6,000 + $4,000 = $10,000. Yes, that seems right. So the answer should be G. Wait, but let's check if the May 16 - June 15 period is fully accrued. For example, if the period ends on June 15, then the expense is fully incurred by June 15. Therefore, as of June 30, the liability for that period is still $6,000. So that's correct. So adding the $4,000 for the June 16-30 period, total $10,000. So answer G.

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