Respuesta :
Answer:
a. 300 units
b. $3,750
c. $3,750
d. 100 units
Explanation:
a. The computation of the economic order quantity is shown below:
= [tex]\sqrt{\frac{2\times \text{Annual demand}\times \text{Ordering cost}}{\text{Carrying cost}}}[/tex]
= [tex]\sqrt{\frac{2\times \text{15,000}\times \text{\$75}}{\text{\$25}}}[/tex]
= 300 units
b. For annual holding cost, first we have to find out the average inventory would equal to
= Economic order quantity ÷ 2
= 300 units ÷ 2
= 150 units
Now the Carrying cost = average inventory × carrying cost per unit
= 150 units × $25
= $3,750
c. For ordering cost, first we have to compute number of orders would be equal to
= Annual demand ÷ economic order quantity
= $15,000 ÷ 300 units
= 50 orders
Now Ordering cost = Number of orders × ordering cost per order
= 50 orders × $75
= $3,750
d. The computation of the reorder point is shown below:
= (Annual demand ÷ total number of days in a year ) × lead time
= (15,000 units ÷ 300 days) × 2 working days
= 100 units
