Final answer:
a. The days sales outstanding is 42 days. b. The average amount of receivables is approximately $105,205. c. If Snider toughens its collection policy, the average receivables would decrease to around $96,243.
Step-by-step explanation:
a. Days Sales Outstanding:
To calculate the Days Sales Outstanding (DSO), we need to find the average collection period. The average collection period is the weighted average of the payment terms of the customers.
Based on the given information, 30% of customers pay on the 10th day and take discounts, while the other 70% pay, on average, 40 days after their purchases.
Using the formula for weighted average:
DSO = (0.3 * 10) + (0.7 * 40) = 14 + 28 = 42 days
b. Average Receivables:
To calculate the average receivables, we can use the formula:
Average Receivables = Total Sales * Average Collection Period / 365
Substituting the given values:
Average Receivables = $910,000 * 42 / 365 ≈ $105,205
c. Impact of Toughened Collection Policy:
If all non-discount customers paid on the 35th day, the collection period for them would increase to 35 days.
Using the formula for weighted average:
DSO = (0.3 * 10) + (0.7 * 35) = 14 + 24.5 = 38.5 days
Using the new DSO value, we can calculate the new average receivables:
Average Receivables = $910,000 * 38.5 / 365 ≈ $96,243