Question

A produce distributor uses 779 packing crates a month, which it purchases at a cost of $12 each. The manager has assigned an annual carrying cost of 39 percent of the purchase price per crate. Ordering costs are $27. Currently the manager orders once a month. How much could the firm save annually in ordering and carrying costs by using the EOQ

Answer 1

$1,498.86

Step-by-step explanation:

Given that;

Packing of crates per month(u) = 779

Annual carrying cost of 39% of the purchase price per crate

Ordering cost (S) = $27

D = 779 × 12 = $9,348 crates per year

H = 0.39P

H = 0.39 × $12

H = $4.68 crates per year

Total ordering cost = D/Q × S

= ( $9,348 / 779 ) × $27

= $324

Total Holding cost = Q / 2 × H

= ( 779 / 2 ) × $4.68

= $1,822.86

Annual savings = Total holding cost - Total ordering cost

= $1,822.86 - $324

= $1,498.86

The firm would be saving $1,498.86 annually.