Answer:
1) What is the annual holding and ordering cost?
annual ordering cost = $100 x 12 = $1,200
annual holding cost = ($100 x 25%) x [500 x 1/2(average inventory)] = $6,250
total $7,450
2) On average, how long does a jacket spend in inventory?
= 30 days / 2 = 15 days
3) If the retail store wants to minimize ordering and holding cost, what order size do you recommend?
economic order quantity (EOQ) = √[(2 x annual demand x order cost) / annual holding cost per unit]
EOQ = √[(2 x 6,000 x 100) / 25] = √48,000 = 219.09 units ≈ 219 units
4) How much would the optimal order reduce holding and ordering cost relative to the current policy?
EOQ = 219
total number of orders = 6,000 / 219 = 27.4 per year
average inventory = 219 / 2 = 109.5 units
annual ordering cost = $100 x 27.4 = $2,740
annual holding cost = ($100 x 25%) x 109.5 = $2,737.50
total $5,477.50
annual savings = $7,450 - $5,477.50 = $1,972.50
