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# Economic Order Quantity

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Gentle Ben's Bar and Restaurant uses 5,000 quart bottles of an imported wine each year. The effervescent wine costs \$3 per bottle and is served only in whole bottles because it loses its bubbles quickly. Ben figures that it costs \$10 each time an order is placed, and holding costs are 20 percent of the purchase price. It takes three weeks for an order to arrive. Weekly demand is 100 bottles (closed two weeks per year) with a standard deviation of 30 bottles. Ben would like to use an inventory system that minimizes inventory cost and will provide a 95 percent service probability.

a. What is the economic quantity for Ben to order?

#### Solution Summary

The solution describes the determination of the economic order quantity of an inventory problem.

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## Questions regarding economic order quantity

As the production manager, you need to minimize both ordering and inventory costs. You need to provide a recommendation of the optimal order quantity of raw materials to your plant manager. Your objective is to determine the economic order quantity (EOQ). If the annual demand for Ultamyacin at Wallingford is 400,000 units, the annual carrying cost rate is 15% of the cost of the unit. The product costs \$48/unit to purchase, and the product ordering cost is \$28.00.

In your report, discuss information based on the following questions:

What is the Basic EOQ?
What is the TC (total cost) at the EOQ?
How much would the TC increase if the order quantity must be 1,000 units?
How is JIT (just-in-time) ordering methodology different from EOQ methodology?

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