Respuesta :
Answer:
$418,550
Explanation:
Steps are shown below:
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{52,000}\times \text{\$50}}{\text{\$1.25}}}[/tex]
= 2,040 units
b. The number of orders would be equal to
= Annual demand ÷ economic order quantity
= $52,000 ÷ 2,040 units
= 25.49 orders
c. The average inventory would equal to
= Economic order quantity ÷ 2
= 2040 units ÷ 2
= 1,020 units
d. The total cost of ordering cost and carrying cost equals to
Ordering cost = Number of orders × ordering cost per order
= 25.49 orders × $50
= $1,275
Carrying cost = average inventory × carrying cost per unit
= 1,020 units × $1.25
= $1,275
So, the total annual cost would be
= Purchase cost + ordering cost + carrying cost
= $416,000 + $1,275 + $1,275
= $418,550
Purchase cost = Annual demand × cost per unit
= 52,000 × $8
= $416,000
