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Suppose for the hospital in question #6, the weekly demand (that averages 1,000 boxes) has a standard deviation of 10 boxes, and the lead time (that averages 1.5 weeks) has a standard deviation of 0.2 weeks. As in #6, the ordering cost is $50 per order, it costs $1 to hold one box in inventory for one year, and inventory is managed with a continuous review policy.
a) If a 95% service level is desired, then what would be the reorder point? Show all your work.
b) If the lead time variability is cut in half (so the standard deviation is 0.1 weeks), then what would be the reorder point? Show all your work.
c) Suppose the hospital orders 1040 boxes each time. How many orders per year do they make, and how many stockouts do they expect in a year? Show all your work.
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