Operations Management
Operations Management
13th Edition
ISBN: 9781259667473
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Chapter 10, Problem 10P
Summary Introduction

To determine: The number of shafts the process can turn out before the tool needs replacement.

Introduction: Quality is a measure of excellence or a state of being free from deficiencies, defects and important variations. It is obtained by consistent and strict commitment to certain standards to attain uniformity of a product to satisfy consumers’ requirement.

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Specifications for a metal shaft are much wider than the machine used to make the shafts is capableof. Consequently, the decision has been made to allow the cutting tool to wear a certain amountbefore replacement. The tool wears at the rate of .004 centimeter per piece. The process has a naturalvariation, σ, of .02 centimeter and is normally distributed. Specifications are 15.0 to 15.2 centimeters.A three-sigma cushion is set at each end to minimize the risk of output outside of the specifications.How many shafts can the process turn out before tool replacement becomes necessary?
Northshore hospital surgeon, Bill, wants to build 3-sigma x- bar control limits for the open heart surgery. The target value for the mean of the process (x-bar) is 10 units, and the standard deviation of the process is 8. If samples of size 16 are to be taken, what will be the upper and lower control limits, respectively? Question 33 options: 8 and 12 16 and 4 -8 and 28 18 and 6 16 and 4
Control charts for X-bar and R, using a subgroup size of 5, are to be applied to control thecritical dimension of a certain manufacturing process. Specifications call for a nominal dimension of1,250.000 + 0.050 mm. The process is believed to have a σ of 0.015 mm Determine appropriate control limits for the X-bar and R charts. a) After 12 subgroups have been drawn and X-bar and R plotted on the charts, a computation of X-double bar give 1,250.015. b1) What is the probability that a value of X-bar will fall within the limits if this is the true value of the mean setting? b2) What is the probability that all 12values fall within the control limits? b) Make the necessary calculations to determine if the process can meet specifications by solvingfor Cp, Cpu, CpL, Cpk . Assume a normal distribution of product output. Illustrate how the processwould look like relative to the result of the computations of the process capability analysis.
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