Answer:
a) in order to calculate the EOQ we do not consider safety stock since that is one time purchase.
EOQ = √(2SD / H)
S = order cost = $10
D = annual demand = 100,000 units
H = annual holding cost = $2 x 3% = $0.06
EOQ = √[(2 x $10 x 100,000) / $0.06] = √33,333.33 = 5,773.5 ≈ 5,774
b) average inventory = (5,774 / 2) + (100,000/12) = 2,887 + 8,333 = 11,220 units
c) maximum inventory = 8,333 + 5,774 = 14,107
d) optimal number of orders = 100,000 / 5,774 = 17.32 times
e) total inventory cost = (17.32 x $10) + (11,220 x $0.06) + (100,000 x $2) + (8,333 x $2) = $173.20 + $673.20 + $200,000 + $16,666 = $217,512.40
