McEwan Industries sells on terms of $3/10,$ net $40.$ Total sales for the year are $$1,386,000$; $40\%$ of the customers pay on the $10$th day and take discounts, while the other $60\%$ pay, on average, $86$ days after their purchases. Assume $365$ days in year for your calculations.

a$.$ What is the days sales outstanding? Round your answer to two decimal places.

$\_\_\_\_\_$ days

b$.$ What is the average amount of receivables? Do not round intermediate calculations. Round your answer to the nearest cent.

$\_\_\_\_\_\_$$

c$.$ What is the percentage cost of trade credit to customers who take the discount? If your answer is zero, enter zero. Round your answer to two decimal places.

$\_\_\_\_\_\_\_\%$

d$.$ What is the percentage cost of trade credit to customers who do not take the discount and pay in $86$ days? If your answer is zero, enter zero. Do not round intermediate calculations. Round your answers to two decimal places.

Nominal cost: $\_\_\_\_\%$

Effective cost: $\_\_\_\_\%$

e$.$ What would happen to McEwan$$s accounts receivable if it toughened up on its collection policy with the result that all nondiscount customers paid on the $40$th day? Do not round intermediate calculations. Round your answer for DSO to two decimal places and for average receivables to the nearest cent.

Days sales outstanding $($DSO$)$: $\_\_\_\_\_$days

Average receivables: $\_\_\_\_$$