Ned's Natural Foods sells unshelled peanuts by the pound. Historically, Ned has observed that daily demand is normally distributed with a mean of 80 pounds and a standard deviation of 26 pounds. Lead time also appears normally distributed with a mean of 8 days and a standard deviation of oL. Suppose one year has 365 days. The ordering cost is $600, and the inventory carrying cost is $1.2/pound/year. 1. Suppose o1, = 1 day and Ned aims to limit the stockout risk during lead time to 3.5 percent. At what level of inventory should the manager place an order?

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Ned's Natural Foods sells unshelled peanuts by the pound. Historically, Ned has observed that
daily demand is normally distributed with a mean of 80 pounds and a standard deviation of
26 pounds. Lead time also appears normally distributed with a mean of 8 days and a standard
deviation of o1. Suppose one year has 365 days. The ordering cost is $600, and the inventory
carrying cost is $1.2/pound/year.
1.
Suppose oL =
1 day and Ned aims to limit the stockout risk during lead time
to 3.5 percent. At what level of inventory should the manager place an order?
2.
Suppose Ned uses a reorder point of 900 pounds and the service level is 88.1
percent. Then what is the standard deviation of lead time (oL)?
Transcribed Image Text:Ned's Natural Foods sells unshelled peanuts by the pound. Historically, Ned has observed that daily demand is normally distributed with a mean of 80 pounds and a standard deviation of 26 pounds. Lead time also appears normally distributed with a mean of 8 days and a standard deviation of o1. Suppose one year has 365 days. The ordering cost is $600, and the inventory carrying cost is $1.2/pound/year. 1. Suppose oL = 1 day and Ned aims to limit the stockout risk during lead time to 3.5 percent. At what level of inventory should the manager place an order? 2. Suppose Ned uses a reorder point of 900 pounds and the service level is 88.1 percent. Then what is the standard deviation of lead time (oL)?
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