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A product has a reorder point of 260 units and is ordered ten times a year on average. The following table shows the historical distribution

A product has a reorder point of 260 units and is ordered ten times a year on average. The following table shows the historical distribution of demand values observed during lead time.

Demand Probability
240 .1
250 .2
260 .4
270 .2
280 .1

Currently, stockouts are valued at $5 per unit per occurrence, while inventory carrying costs are $2 per unit per year. Should the firm add safety stock? If so, how much safety stock should be added?

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