You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-findspices. Consider your inventory of saffron, a spice (generally) worth more by weightthan gold. You order saffron from an overseas supplier with a shipping lead time of fourweeks and you order weekly. Average weekly demand is normally distributed with amean of 40 ounces and a standard deviation of 30 ounces.a. Suppose it uses an order-up-to level of 301 ounces. What is its expected on-hand inventory? b. Suppose it uses an order-up-to level of 250 ounces. What is its expected on-order inventory? c. Suppose it uses an order-up-to level of 368 ounces. What is its in-stock probability? d. Suppose it wants a .96 in-stock probability. What should its order-up-to level be?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-find
spices. Consider your inventory of saffron, a spice (generally) worth more by weight
than gold. You order saffron from an overseas supplier with a shipping lead time of four
weeks and you order weekly. Average weekly demand is normally distributed with a
mean of 40 ounces and a standard deviation of 30 ounces.
a. Suppose it uses an order-up-to level of 301 ounces. What is its expected on-hand inventory?
b. Suppose it uses an order-up-to level of 250 ounces. What is its expected on-order inventory?
c. Suppose it uses an order-up-to level of 368 ounces. What is its in-stock probability?
d. Suppose it wants a .96 in-stock probability. What should its order-up-to level be?

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