A sporting goods company has a distribution center that maintains inventory of fishing rods. The fishing rods have the following demand, lead time, and cost characteristics: Average demand = 130 units per day, with a standard deviation of 12 units Average lead time = 12 days with a standard deviation of 1 day 250 days per year in the business year Unit cost = $28 Desired service level = 97.5% Ordering cost $53 Inventory carrying cost = 25% a. What is the standard deviation of demand during lead time? b. How many fishing rods should the distribution center carry to provide the desired service level? c. What is the EOQ? d. What is the average cycle stock?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A sporting goods company has a distribution center that maintains inventory of fishing rods. The fishing rods have the following
demand, lead time, and cost characteristics:
Average demand = 130 units per day, with a standard deviation of 12 units
Average lead time = 12 days with a standard deviation of 1 day
250 days per year in the business year
Unit cost = $28
Desired service level = 97.5%
Ordering cost $53
Inventory carrying cost = 25%
a. What is the standard deviation of demand during lead time?
b. How many fishing rods should the distribution center carry to provide the desired service level?
c. What is the EOQ?
d. What is the average cycle stock?
Transcribed Image Text:A sporting goods company has a distribution center that maintains inventory of fishing rods. The fishing rods have the following demand, lead time, and cost characteristics: Average demand = 130 units per day, with a standard deviation of 12 units Average lead time = 12 days with a standard deviation of 1 day 250 days per year in the business year Unit cost = $28 Desired service level = 97.5% Ordering cost $53 Inventory carrying cost = 25% a. What is the standard deviation of demand during lead time? b. How many fishing rods should the distribution center carry to provide the desired service level? c. What is the EOQ? d. What is the average cycle stock?
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