Respuesta :
Answer:
$444.42
Explanation:
For computing the saving amount, first need to calculate the economic order quantity, total cost etc
The economic order quantity is
[tex]= \sqrt{\frac{2\times \text{Annual demand}\times \text{Ordering cost}}{\text{Carrying cost}}}[/tex]
where,
Annual demand is
= 774 packaging crates × 12 months
= 9,932 crates
And, the carrying cost is
= $12 × 34%
= $4.08
[tex]= \sqrt{\frac{2\times \text{9,288}\times \text{\$29}}{\text{\$4.08}}}[/tex]
= 363.37 crates
Now the total cost is
= Annual ordering cost + Annual carrying cost
= Annual demand ÷ Economic order quantity × ordering cost per order + Economic order quantity ÷ 2 × carrying cost per unit
= 9,288 ÷ 363 × $29 + 363 ÷ 2 × $4.08
= $742.02 + $740.52
= $1,482.54
Now the total cost in case of 774 packing crates is
= Annual ordering cost + Annual carrying cost
= Annual demand ÷ Economic order quantity × ordering cost per order + Economic order quantity ÷ 2 × carrying cost per unit
= 9,288 ÷ 774 × $29 + 774 ÷ 2 × $4.08
= $348 + $1,578.96
= $1,926.96
So, the annual saving cost is
= $1,926.96 - $1,482.54
= $444.42
