Answer:
6.25 days
Step-by-step explanation:
In order to compute the time first we have to find out the economic order quantity and the total number of orders in a year which is shown below:
![= \sqrt{\frac{2* \text{Annual demand}* \text{Ordering cost}}{\text{Carrying cost}}}](https://img.qammunity.org/2021/formulas/business/college/42bowpz0x3lb377fsobb7oy296bwku1bfy.png)
![= \sqrt{\frac{2* \text{8,000}* \text{\$50}}{\text{\$20}}}](https://img.qammunity.org/2021/formulas/business/college/bpjt94266ql556br4qzdvnmww4jvvmucaz.png)
= 200 units
Now the total number of years in a year is
= Annual demand ÷ economic order quantity
= 8,000 ÷ 200 units
= 40 orders
And, the time between two consecutive orders is
= 1 ÷ 40 orders × 250 days
= 6.25 days