Determining Optimum Batch SizeA distributor sells industrial tools. He has a sales estimate of ₹20 crores for the upcoming year. Each tool sells for ₹10,000. Assume that the demand remains constant throughout the year.The set-up cost per order is ₹10,000 and the inventory holding cost per tool is 10% of its selling price.What is the optimum no.of batches requiredto meet the annual demand? (You should round up your answer to avoid a shortfall.)10162432
Question
Determining Optimum Batch SizeA distributor sells industrial tools. He has a sales estimate of ₹20 crores for the upcoming year. Each tool sells for ₹10,000. Assume that the demand remains constant throughout the year.The set-up cost per order is ₹10,000 and the inventory holding cost per tool is 10% of its selling price.What is the optimum no.of batches requiredto meet the annual demand? (You should round up your answer to avoid a shortfall.)10162432
Solution
The question is asking for the optimum number of batches required to meet the annual demand.
Here are the steps to solve this problem:
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First, calculate the annual demand. The sales estimate is ₹20 crores and each tool sells for ₹10,000. So, the annual demand is ₹20 crores / ₹10,000 = 20,000 tools.
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The Economic Order Quantity (EOQ) formula is used to determine the optimum order quantity that minimizes total inventory costs. The EOQ formula is √(2DS/H), where D is the annual demand, S is the setup cost per order, and H is the holding cost per unit per year.
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Plug the values into the EOQ formula: √(220,000₹10,000/₹1,000) = √(400,000,000) = 20,000 tools. This is the optimum order quantity per batch.
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To find the optimum number of batches, divide the annual demand by the EOQ: 20,000 tools / 20,000 tools per batch = 1 batch.
However, the question asks to round up the answer to avoid a shortfall. So, the optimum number of batches required to meet the annual demand is 2 batches.
Similar Questions
Which of the following will be annual optimum cost of a product if thenumber of annual orders without any shortage is 25 and the total cpst of onecycle is 10,000? Rs.400 Rs.10025 Rs.9975 Rs.250000
Economic Order QuantityIn continuation with the previous question, how many units should the distributor order in a batch? (You should round up your answer to avoid any shortfall.)6480625431
Feedback:Think about the formula to calculate the optimum no of batches and try again.
If monthly demand is 1,000 units, the ordering cost is $20 per order, and the holding cost is $1.50 per unit per year, which of the following is the optimal order quantity using EOQ model?
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