Question

A produce distributor uses 774 packing crates a month, which it purchases at a cost of $12 each. The manager has assigned an annual carrying cost of 34 percent of the purchase price per crate. Ordering costs are $29. Currently the manager orders once a month. How much could the firm save annually in ordering and carrying costs by using the EOQ? (Round intermediate calculations and final answer to 2 decimal places. Omit the "$" sign in your response.)

Answer 1

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

$= \sqrt{\frac{2\times \text{Annual demand}\times \text{Ordering cost}}{\text{Carrying cost}}}$

where,

Annual demand is

= 774 packaging crates × 12 months

= 9,932 crates

And, the carrying cost is

= $12 × 34%

= $4.08

$= \sqrt{\frac{2\times \text{9,288}\times \text{\ 29}}{\text{\ 4.08}}}$

= 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