Answer:
$49,084.51
Explanation:
days of sales outstanding (DSO) = accounts receivable / average daily sales
71 days = $205,000 / (total sales / 365 days)
total sales / 365 days = $205,000 / 71 days
total sales = ($205,000 / 71 days) x 365 days = $1,053,873.24
after the change, annual sales will decrease by 15%:
$1,053,873.24 x (1 - 15%) = $895,792.25
average sales per day = $895,792.25 / 365 = $2,454.23 per day
new DSO = accounts receivable / average sales per day
20 days = accounts receivable / $2,454.23 per day
accounts receivable = $2,454.23 per day x 20 days = $49,084.51
