Answer:
Annual demand 50,000 units
Holding cost $0.25 per year
Ordering Cost $500 per order
EOQ : 14,142
Number of orders per year 4
Average inventory 14,142 units
Maximum inventory 14,500 units
Reorder level 410 units
Length of order cycle 3 days
Annual Holding cost $12,500
Annual ordering cost $2000
Annual affected inventory cost $14,500
Explanation:
EOQ = [tex]\sqrt{\frac{2 * D * S}{H} }[/tex]
EOQ = [tex]\sqrt{\frac{2 * 50000 * 500}{0.25} }[/tex]
EOQ = 14,142 units
Number of Order : Annual demand / EOQ
Number of order : 50,000 / 14,142 = 3.53 or approximately 4
Annual Ordering cost : No. of order * cost per order
Annual ordering cost : 4 * $500 = $2,000
Annual Holding Cost : Demand * Holding cost per unit
Annual holding cost = 50,000 * $0.25 per unit = $12,500
Reorder level : Daily demand * lead time
Reorder level : [ 50000 / 365 ] * 3 = 410 units