A small copy center uses five 500-sheet boxes of copy paper a week. Experience suggests thatusage can be well approximated by a normal distribution with a mean of five boxes per week and astandard deviation of one-half box per week. Two weeks are required to fill an order for letterheadstationery. Ordering cost is $2, and annual holding cost is 20 cents per box.a. Determine the economic order quantity, assuming a 52-week year.b. If the copy center reorders when the supply on hand is 12 boxes, compute the risk of a stockout.c. If a fixed interval of seven weeks instead of an ROP is used for reordering, what risk does thecopy center incur that it will run out of stationery before this order arrives if it orders 36 boxeswhen the amount on hand is 12 boxes?

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Chapter16: Lean Supply Chain Management
Section: Chapter Questions
Problem 10DQ: The chapter presented various approaches for the control of inventory investment. Discuss three...
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A small copy center uses five 500-sheet boxes of copy paper a week. Experience suggests that
usage can be well approximated by a normal distribution with a mean of five boxes per week and a
standard deviation of one-half box per week. Two weeks are required to fill an order for letterhead
stationery. Ordering cost is $2, and annual holding cost is 20 cents per box.
a. Determine the economic order quantity, assuming a 52-week year.
b. If the copy center reorders when the supply on hand is 12 boxes, compute the risk of a stockout.
c. If a fixed interval of seven weeks instead of an ROP is used for reordering, what risk does the
copy center incur that it will run out of stationery before this order arrives if it orders 36 boxes
when the amount on hand is 12 boxes?

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