Anil & company buys its annual requirement of 36,000 units in 6 instal...
Calculating Total Annual Carrying and Ordering Cost under Existing Policy:
- Number of orders per year = Total units / Order quantity = 36,000 / 6 = 6,000
- Ordering cost per year = Number of orders per year * Ordering cost per order = 6,000 * Rs. 25 = Rs. 150,000
- Average inventory level = Order quantity / 2 = 6 / 2 = 3,000 units
- Annual carrying cost = Average inventory level * Unit cost * Carrying cost percentage = 3,000 * Rs. 1 * 20% = Rs. 600
Total annual carrying and ordering cost = Rs. 150,000 + Rs. 600 = Rs. 150,600
Calculating Savings using EOQ:
- EOQ (Economic Order Quantity) formula: EOQ = sqrt((2 * Demand * Ordering cost) / Carrying cost per unit)
- EOQ = sqrt((2 * 36,000 * 25) / 0.20) = sqrt(1,800,000 / 0.20) = sqrt(9,000,000) = 3,000 units
- Number of orders with EOQ = Demand / EOQ = 36,000 / 3,000 = 12
- Ordering cost with EOQ = Number of orders * Ordering cost per order = 12 * Rs. 25 = Rs. 300
- Carrying cost with EOQ = EOQ / 2 * Unit cost * Carrying cost percentage = 1,500 * Rs. 1 * 20% = Rs. 300
Total annual carrying and ordering cost with EOQ = Rs. 300 + Rs. 300 = Rs. 600
Savings by using EOQ = Rs. 150,600 - Rs. 600 = Rs. 150,000
By using EOQ, Anil & Company can save Rs. 150,000 annually in carrying and ordering costs compared to their existing policy of ordering in 6 instalments. This is achieved by optimizing the order quantity to minimize total costs associated with inventory management.
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