You may need to use the appropriate technology to answer this question. Wood Watercolors is a commercial art gallery that uses a four-week periodic review system to reorder paintings for its showrooms. A one-week lead time is required to fill the order. Demand for one particular style of painting during the five-week replenishment period is normally distributed with a mean of 26 units and a standard deviation of 10 units. (a) At a particular periodic review, 16 units are in inventory. The curator places an order for 20 units. What is the probability that this style of painting will have a stock-out before an order that is placed at the next four-week review period arrives? (Round your answer to four decimal places.) (b) Assume that the gallery is willing to tolerate a 2.5% chance of a stock-out associated with a replenishment decision. How many paintings should the curator have ordered in part (a)? (Round your answer to the nearest integer.) paintings What is the replenishment level for the four-week periodic review system? (Round your answer to the nearest integer.)

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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You may need to use the appropriate technology to answer this question.
Wood Watercolors is a commercial art gallery that uses a four-week periodic review system to reorder paintings for its showrooms. A one-week lead time is required to fill the order.
Demand for one particular style of painting during the five-week replenishment period is normally distributed with a mean of 26 units and a standard deviation of 10 units.
(a) At a particular periodic review, 16 units are in inventory. The curator places an order for 20 units. What is the probability that this style of painting will have a stock-out before
an order that is placed at the next four-week review period arrives? (Round your answer to four decimal places.)
(b) Assume that the gallery is willing to tolerate a 2.5% chance of a stock-out associated with a replenishment decision. How many paintings should the curator have ordered in
part (a)? (Round your answer to the nearest integer.)
paintings
What is the replenishment level for the four-week periodic review system? (Round your answer to the nearest integer.)
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Wood Watercolors is a commercial art gallery that uses a four-week periodic review system to reorder paintings for its showrooms. A one-week lead time is required to fill the order. Demand for one particular style of painting during the five-week replenishment period is normally distributed with a mean of 26 units and a standard deviation of 10 units. (a) At a particular periodic review, 16 units are in inventory. The curator places an order for 20 units. What is the probability that this style of painting will have a stock-out before an order that is placed at the next four-week review period arrives? (Round your answer to four decimal places.) (b) Assume that the gallery is willing to tolerate a 2.5% chance of a stock-out associated with a replenishment decision. How many paintings should the curator have ordered in part (a)? (Round your answer to the nearest integer.) paintings What is the replenishment level for the four-week periodic review system? (Round your answer to the nearest integer.)
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