Final answer:
The days sales outstanding (DSO) is 0.104 days and the average amount of receivables is $226,849. If Snider toughens its collection policy to all nondiscount customers paying on the 45th day, the DSO would be 0.095 days and the average receivables would be $207,671.
Step-by-step explanation:
The days sales outstanding (DSO) can be calculated using the formula:
DSO = [(30% × 10) + (70% × 50)] / 365
Plug in the values:
DSO = [(30% × 10) + (70% × 50)] / 365
= [3 + 35] / 365
= 38 / 365
= 0.104
Now, to find the average amount of receivables, we can use the formula:
Average Receivables = (DSO × Annual Sales) / 365
Plug in the values:
Average Receivables = (0.104 × $800,000) / 365
= $226.849
If Snider toughens its collection policy and all nondiscount customers pay on the 45th day, the new DSO can be calculated as:
DSO = [(30% × 10) + (70% × 45)] / 365
= [3 + 31.5] / 365
= 34.5 / 365
= 0.095
Using the formula for average receivables, the new average receivables would be:
Average Receivables = (0.095 × $800,000) / 365
= $207,671