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 23P

a

Summary Introduction

Interpretation:

Hourly cost of operating the system is to be determined.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

b

Summary Introduction

Interpretation:

The optimal value of k for n = 6 is to be determined.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

c

Summary Introduction

The optimal values by using the spreadsheet program and the approximations suggested in the chapter are to be determined.

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

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A pharmaceutical company producing vitamin capsules desires a proportion of calcium content between 40 and 55 ppm. A random sample of 20 capsules chosen from the output yields a sample mean calcium content of 44 ppm with a standard deviation of 3 ppm. Find the natural tolerance limits of the process. If the process is in control at the present values of its parameters, what proportion of the output will be nonconforming, assuming a normal distribution of the characteristic? Answer letters a, b, and c. a. Find the Cp index. Comment on the ability of the process to meet specifications. b. What proportion of the specification range is used up by the process? c. If it is easier to change the process mean than to change its variability, to what value should the process mean be set to minimize the proportion of nonconforming product?
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At Webster Chemical, lumps in the caulking compound could cause difficulties in dispensing a smooth bead from the tube. Even when the process is in control, there will still be an average of 4 lumps per tube of caulk. Testing for the presence of lumps destroys the product, so Webster takes random samples. The table below shows the results of the study. Determine the two-sigma upper and lower control limits for this process. Tube # Lumps   Tube # Lumps   Tube # Lumps   1 6   5 6   9 5   2 5   6 4   10 0   3 0   7 1   11 9   4 4   8 6   12 2
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