Exam 8: Inventory Models

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Excess inventory should be avoided if at all possible, since it must be either sold at a discount, sold for salvage, or dumped.

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Annual demand = 2000 units.Cost of order = $100 Holding cost = $10 Cost of backorder = $5 Cost of item = $50 Goodwill cost = $10 Should you use a planned shortage model or EOQ?

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(EOQ since Cb > SQRT(2CoCh/D)
5 > SQRT(2*100*10/2000)
5 > 1 )

In the single period inventory model, when the goodwill cost increases:

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The annual demand for inventory item 67J is 6000 SKU's.Order lead time is 6 workdays, and the firm's "year" is 300 days (6 workdays weekly, times 50 weeks).Empirical analysis indicates that the daily standard deviation of SKU demand is 4 units.If the firm desires only a 5% chance of a stockout, during any inventory cycle: A.What is the corresponding safety stock level? B.What is the corresponding reorder point, R? C.Suppose Q* = 400.Now if the firm is willing to be out of stock of 67J, an average of no more than two inventory cycles per year, what should be the safety stock level?

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Consider a basic economic order quantity (EOQ) model with the following characteristics: Item cost: \ 15. Item selling price: \ 20. Monthly demand: 500 units (constant) Annual holding cost: 9\% of purchase cost Cost per order: \ 18 Order lead time: 5 days Firm's work year: 300 days ( 50 weeks @6 days per week) Safety stock: 15\% of monthly demand For this problem, determine the values of: A.Q* the optimal order quantity. B.R, the reorder point. C.T, the cycle time. D.M, the maximum quantity in inventory. E.Total annual inventory cost. F.Suppose the vendor demands purchases in multiples of 500 only. What is the increase in total annual inventory cost that this causes?

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In the planned shortage model, you cannot recommend a maximum inventory position of zero.

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In the economic order quantity (EOQ) model, if the holding cost and the ordering cost both double, the value of Q* will:

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For the production lot size model to be appropriate, the relationship between D, annual demand, and P, maximum annual production rate, must be:

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Quantity discounts reduce the unit price.Inventory costs are always reduced by opting for a quantity discount.

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In the planned shortage model, a zero value for R, the reorder point, means:

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A two bin system is an example of a:

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In the calculation of economic order quantity, manufacturing costs for items produced in-house include the costs of setting up the production line.

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Why is there no (T,Q) policy?

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When comparing the safety stock of the cycle service level (SSc) approach with the safety stock level of the unit service level (SSu) approach, other things being equal:

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In the single period inventory model, customer demand is always assumed to be:

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Economic order quantity for production is optimal for a single product.The solution for several products sharing a production line requires computing an economic order quantity for each product.

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"Shrinkage" of inventory includes:

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In the single period inventory model, the probability distribution for customer demand:

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The strongest factor influencing the choice of inventory model is the:

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In the single period inventory model, the optimal service level is the proportion of total customer demand that will be satisfied in any given period.

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