1. The purchase manager of X Ltd. buys its annual requirement of mater...
Annual Inventory Cost under existing inventory policy:
To calculate the annual inventory cost under the existing inventory policy, we need to consider the ordering cost, holding cost, and the annual requirement of materials.
Ordering Cost:
The ordering cost is given as Rs 25.00 per order. Since the annual requirement is purchased in six installments, the number of orders placed per year would be 6.
Ordering Cost per year = Ordering Cost per order * Number of orders per year
= Rs 25.00 * 6
= Rs 150.00
Holding Cost:
The holding cost is calculated as a percentage of the unit value. It is given as 20% per annum.
Holding Cost per year = (Holding Cost rate * Unit value) * Annual requirement
= (20% * Rs 1.00) * 36,000
= Rs 7,200.00
Total Annual Inventory Cost:
The total annual inventory cost is the sum of the ordering cost and the holding cost.
Total Annual Inventory Cost = Ordering Cost per year + Holding Cost per year
= Rs 150.00 + Rs 7,200.00
= Rs 7,350.00
Therefore, the annual inventory cost under the existing inventory policy is Rs 7,350.00.
Money saved by employing the Economic Order Quantity (EOQ):
The Economic Order Quantity (EOQ) is the optimal order quantity that minimizes the total inventory cost. By employing the EOQ, the company can save money on ordering and holding costs.
To calculate the EOQ, we need to use the following formula:
EOQ = √((2 * Ordering Cost * Annual Requirement) / Holding Cost)
Substituting the given values:
EOQ = √((2 * Rs 25.00 * 36,000) / (20% * Rs 1.00))
= √(1,800,000 / 0.20)
= √9,000,000
= 3,000 units
Money Saved:
To calculate the money saved by employing the EOQ, we need to compare the total inventory cost under the existing inventory policy with the total inventory cost under the EOQ.
Total Inventory Cost under EOQ = (Ordering Cost per order * Number of orders per year) + (Holding Cost rate * Unit value * EOQ)
= (Rs 25.00 * (36,000 / 3,000)) + (20% * Rs 1.00 * 3,000)
= Rs 300.00 + Rs 600.00
= Rs 900.00
Money Saved = Total Inventory Cost under existing policy - Total Inventory Cost under EOQ
= Rs 7,350.00 - Rs 900.00
= Rs 6,450.00
Therefore, by employing the Economic Order Quantity, the company can save Rs 6,450.00.