Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 12.6, Problem 28P

a

Summary Introduction

Interpretation:

Hourly cost of company is to be determined.

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

b

Summary Introduction

Interpretation:

Optimal values of n and k and optimal cost are to be determined.

Concept Introduction:

Probability is the likelihood of an event to occur.. It ranges between 0 to 1. O implies no chance of occurance while 1 implies 100% chance of occurance.

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Southern Mills Company One of the stages in the process of making denim cloth at the Southern Mills Company is to spin cotton yarn onto spindles for subsequent use in the weaving process. Occasionally the yarn breaks during the spinning process, and an operator ties it back together. Some number of breaks is considered normal; however, too many breaks may mean that the yarn is of poor quality. In order to monitor this process, the quality-control manager randomly selects a spinning machine each hour and checks the number of breaks during a 15-minute period. Following is a summary of the observations for the past 20 hours. Construct a c-chart using 3 limits for this process and indicate if the process was out of control at any time. Number of Number of Sample Breaks Sample Breaks 1 3 11 2 12 4 3 4 13 6 1 14 7 5 5 15 8 6 3 16 6 7 2 17 5 8 4 18 7 19 8 10 2 20 6
28. A local contractor manufactures the speakers used in telephones. The phone com- pany requires the speakers to ring at a specified noise level (in decibels). An X chart is being designed to monitor this variable. The process of sampling speakers from the line requires hitting the speakers with a fixed-force clapper and measur- ing the decibel level on a meter designed for that purpose. The cost of sampling is $1.25 per speaker. When the process goes out of control, the thickness of the speakers is incorrect. The cost of searching for an assignable cause is estimated to be $50. The cost of operating the process in an out-of-control state is estimated to be $180 per hour. Out of control corresponds to a shift of 2ơ in the decibel level, and the probability that the process shifts out of control in any hour is .03. a. The company uses an X chart based on 3ơ limits and subgroups of size 4. What is its hourly cost? b. What are the optimal values of n and k for this process and the…
One of the stages in the process of making denim cloth at the Southern Mills Company is to spin cotton yarn onto spindles for subsequent use in the weaving process. Occasionally the yarn breaks during the spinning process, and an operator ties it back together. Some number of breaks is considered normal; however, too many breaks may mean that the yarn is of poor quality. In order to monitor this process, the quality-control manager randomly selects a spinning machine each hour and checks the number of breaks during a 15-minute period. Following is a summary of the observations for the past 20 hours.   Construct a c-chart using 3 limits for this process and indicate if the process was out of control at any time.
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