Question: 4 HP Weekly demand for HP printers at a Sam's Club store is normally distributed, with a mean of 250 and a standard deviation

4 HP Weekly demand for HP printers at a Sam's Club store is normally distributed, with a mean of 250 and a standard deviation of 150. The store manager continuously monitors inventory and currently order 1,000 printers each time the inventory drops to 600 printers. HP currently takes two weeks to fill an order with a standard deviation of 1.5 weeks. Tasks (a) How much safety inventory should Sam's Club carry if it wants to provide a Cycle Service Level (CSL) of 95%? (b) How does the required safety inventory change as the standard deviation of lead time is reduced from 1.5 weeks to zero in intervals of 0.5 weeks? (c) What is the safety inventory for a CSL of 97.5%?

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