Exam 10: Inventory Models

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The EOQ model

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The economic production lot size model is appropriate when

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For the inventory model with planned shortages, the optimal order quantity results in

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Periodic review inventory systems

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An office supply store open 5 days a week must determine the best inventory policy for boxes of copier paper. Weekly demand is nearly constant at 250 boxes and when orders are placed, then entire shipment arrives at once. The cost per box is $22 and the inventory holding cost is 30%. Orders are placed at a cost of $40 each, including preparation time and communication charges, and the lead time is 2 days. a.Find the optimal order quantity. b.What is the reorder point? c.How often should an order be placed? d.What is the cycle time?

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For the EOQ model, cycle time is the time between

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The time between placing orders is the lead time.

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The cost of overestimating demand is usually harder to determine than the cost of underestimating demand.

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When there is probabilistic demand in a multi-period model, the inventory level will not decrease smoothly and can fall below 0.

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As lead time for an item increases, the cycle time increases.

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Henderson Furniture sells reproductions of 18th century furniture. For a particular table, the assumptions of the inventory model with backorders are valid. D = 200 tables per year I = 25% per year C = $800 per table Co = $80 per order Cb = $50 per table per year The store is open 250 days a year. a.What are the values for order quantity and number of planned backorders that will minimize total cost? b.What is the maximum inventory? c.What is the cycle time? d.What is total cost?

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For inventory systems with constant demand and a fixed lead time,

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A lawn and garden shop that is open for business seven days a week orders bags of grass seed every OTHER Monday. Lead time for seed orders is 5 days. On Monday, at ordering time, a clerk found 112 bags of seed in stock, and so he ordered 198 bags. Daily demand for grass seed is normally distributed with a mean of 15 bags and a standard deviation of four bags. The manager would like to know what the probability is that a grass seed stockout will occur before the next order arrives.

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​List five assumptions of the EOQ model.

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Demand for a popular athletic shoe is nearly constant at 800 pairs per week for a regional division of a national retailer. The cost per pair is $54. It costs $72 to place an order, and annual holding costs are charged at 22% of the cost per unit. The lead time is two weeks. a.What is the EOQ? b.What is the reorder point? c.What is the cycle time? d.What is the total annual cost?

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​For the periodic review inventory model presented in the textbook, it is assumed that a special replenishment order will be placed in the event of a stockout between review points.

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When demand is independent, it is not related to demand for other components or items produced by the firm.

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Inventory position is defined as the amount of inventory on hand plus the amount

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Bank Drugs sells Jami Michelle lipstick. The Jami Michelle Company offers a 6% discount on orders of at least 500 tubes, a 10% discount on orders of at least 1,000 tubes, a 12% discount on orders of at least 1,800 tubes and a 15% discount on orders at least 2,500 tubes. Bank sells an average of 40 tubes of Jami Michelle lipstick weekly. The normal price paid by Bank drugs is $1 per tube. If it costs Bank $30 to place an order, and Bank's annual holding cost rate is 27%, determine the optimal order policy for Bank Drugs.

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Kelly's Service Station does a large business in tune-ups. Demand has been averaging 210 spark plugs per week. Holding costs are $.01 per plug per week and reorder costs are estimated at $10 per order. Kelly does not want to be out of stock on more than 1% of his orders. There is a one-day delivery time. The standard deviation of demand is five plugs per day. Assume a normal distribution of demand during lead time and a 7-day work week. a. What inventory policy do you suggest for Kelly's station? b. What is the average amount of safety stock for the reorder point in (a)? c. What are the total variable weekly costs including safety stock costs?

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