Explain how much safety inventory does the store carry, Operation Management

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Demand during lead-time for HP printers at a Sam's club store is normally distributed, with a mean of 500 and a standard deviation of 150. The store manager continuously monitors inventory and order 1,000 printers when the inventory drops to 800 printers. How much safety inventory does the store carry? What service level does Sam's club achieve as a result of this policy?

Please show all steps clearly. I will give the points to who can provide an answer with all steps included showing how they got the answer


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