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 5, Problem 38AP

a

Summary Introduction

Interpretation:Current values of mean and the MAD of monthly demand is to be determined.

Concept Introduction:

Exponential smoothing is used to recursively update the estimates of the mean and standard deviation of demand. The standard deviation is estimated using the mean absolute deviation (MAD).

b

Summary Introduction

Interpretation:Current values of mean and standard deviation of lead time demand are to be determined.

Concept Introduction:

Normal distribution is the probability function with continuous series. It is bell shaped distribution function where mean, median and mode are same.

Exponential smoothing is used to recursively update the estimates of the mean and standard deviation of demand. The standard deviation is estimated using the mean absolute deviation (MAD).

c

Summary Introduction

Interpretation:Current values of mean and standard deviation of lead time demand when ordered from Japan are to be determined.

Concept Introduction:

Exponential smoothing is used to recursively update the estimates of the mean and standard deviation of demand. The standard deviation is estimated using the mean absolute deviation (MAD).

d

Summary Introduction

Interpretation:Value of reorder is to be determined.

Concept Introduction:

Exponential smoothing is used to recursively update the estimates of the mean and standard deviation of demand. The standard deviation is estimated using the mean absolute deviation (MAD).

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Sales of tablet computers at Marika Gonzalez's electronics store in Washington, D.C., over the past 10 weeks are shown in the table below: Week 1 2 3 4 5 6 7 8 9 10 Demand 21 21 27 38 25 30 35 24 25 30 a) The forecast for weeks 2 through 10 using exponential smoothing with a = 0.50 and a week 1 initial forecast of 21.0 are (round your responses to two decimal places): Week 1 2 3 4 5 6 7 8 9 10 Demand 21 21 27 38 25 30 35 24 25 30 Forecast 21.0 21 21 24 31 28 29 32 28 26.50 b) For the forecast developed using exponential smoothing (a = 0.50 and initial forecast 21.0), the MAD = |||||sales (round your response to two decimal places).
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Each machine costs $3 Million. Building the room with all its attendant safety protection and other ancillary costs increases the spending by an additional $2.0 million dollars per MRI suite. Each machine can perform 2000 scans per year. Each reading of an MRI scan by a radiologist, along with other per-scan-related costs, is $500 per scan. The machine will last five years.  Don’t worry about discount rates for this problem Graph the total costs over 5 years as a function of sales for 0-3000 patients annually. Hint: you may need to add a second MRI at some point. Suppose that you want to make a profit of $500 per scan at a target volume of 1000 patients per year, and you purchase only one machine.  Superimpose the total revenue curve on top of the total cost curve in (1).
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