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A retailer is considering two possible definitions of “in-stock”: (I) a product is in-stock if it...

A retailer is considering two possible definitions of “in-stock”: (I) a product is in-stock if it has at least one unit on-hand at the end of the day; (II) a product is in-stock if it has satisfied all demand during a day. For a given order upto level, which definition yields the higher in-stock probability?

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Answer #1

(I) a product is in-stock if it has at least one unit on-hand at the end of the day

In this case, definition of “in-stock” which states a product is in-stock if it has at least one unit on-hand at the end of the day yields the higher in-stock probability because if at least one unit is on-hand at the end of the day, that itself means that the retailer was able to fulfill entire order during the day and then only it has left with at least one unit.

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