EBK PRINCIPLES OF OPERATIONS MANAGEMENT
EBK PRINCIPLES OF OPERATIONS MANAGEMENT
11th Edition
ISBN: 9780135175644
Author: Munson
Publisher: VST
Question
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Chapter 10, Problem 25P

a)

Summary Introduction

To determine: The normal time for the operation

Introduction: Time study is the basis that helps set the standard time; it would time a sample of the performance of the worker.

a)

Expert Solution
Check Mark

Answer to Problem 25P

Thenormal time calculated as 3.23 minutes.

Explanation of Solution

Given information:

The allowance for tasks is given as 7% for personal, 10% for fatigue, and 3% for delay. The observed time and performance rating for each element is given as follows:

Element Performance rating Observation (minutes per cycle)
1 2 3 4 5
1 110% 0.5 0.4 0.6 0.4 0.4
2 95% 0.6 0.8 0.7 0.6 0.7
3 90% 0.6 0.4 0.7 0.5 0.5
4 85% 1.5 1.8 2 1.7 1.5

Formulae to calculate normal time:

Average time=Observationsn

Normal time=Average time×Performance rating

Calculate the normal time:

Element Performance rating Observation (minutes) Average time Normal time
1 2 3 4 5
1 110% 0.5 0.4 0.6 0.4 0.4 0.46 0.51
2 95% 0.6 0.8 0.7 0.6 0.7 0.68 0.65
3 90% 0.6 0.4 0.7 0.5 0.5 0.54 0.49
4 85% 1.5 1.8 2 1.7 1.5 1.7 1.45

Excel worksheet:

EBK PRINCIPLES OF OPERATIONS MANAGEMENT, Chapter 10, Problem 25P

Calculate the average time for the first element:

Average time=Observationn=0.5+0.4+0.6+0.4+0.45=2.35=0.46 minutes

The average time is calculated by taking an average of the observation given, which is summation of 0.5, 0.4, 0.6, 0.4, and 0.4 and dividing the result by 5. Hence, the average is 0.46 minutes.

Calculate the average time for the second element:

Average time=Observationn=0.6+0.8+0.7+0.6+0.75=3.45=0.68 minutes

The average time is calculated by taking an average of the observation given, which is summation of 0.6, 0.8, 0.7, 0.6, and 0.7 and dividing the result by 5. Hence, the average is 0.68 minutes.

Calculate the average time for the third element:

The average time is calculated by taking an average of the observation given, which is summation of 0.6, 0.4, 0.7 0.5, and 0.5 and dividing the result by 5. Hence, the average is 0.54 minutes.

Average time=Observationn=0.6+0.4+0.7+0.5+0.55=2.75=0.54 minutes

Calculate the average time for the fourth element:

The average time is calculated by taking an average of the observation given, which is summation of 1.5, 1.8, 2.0, 1.7, and 1.5 and dividing the result by 5. Hence, the average is 1.7 minutes.

Average time=Observationn=1.5+1.8+2.0+1.7+1.55=8.55=1.7 minutes

Calculate the normal time for the first element:

The normal time is calculated by multiplying the average time and performance rating. The average time is calculated as 0.46 minutes, and performance rating is given as 110%. Hence, the normal time is 0.51 minutes.

Normal time=Average time×Performance rating=0.46×110%=0.46×1.1=0.51 minutes

Calculate the normal time for the second element:

The normal time is calculated by multiplying the average time and performance rating. The average time is calculated as 0.68 minutes, and performance rating is given as 95%. Hence, the normal time is 0.65 minutes.

Normal time=Average time×Performance rating=0.68×95%=0.68×1.05=0.65 minutes

Calculate the normal time for the third element:

The normal time is calculated by multiplying the average time and performance rating. The average time is calculated as 0.54 minutes, and performance rating is given as 90%. Hence, the normal time is 0.49 minutes.

Normal time=Average time×Performance rating=0.54×90%=0.54×0.90=0.49 minutes

Calculate the normal time for the fourth element:

The normal time is calculated by multiplying the average time and performance rating. The average time is calculated as 1.7 minutes, and performance rating is given as 85%. Hence, the normal time is 1.45 minutes.

Normal time=Average time×Performance rating=1.7×85%=1.7×0.85=1.45 minutes

Calculate the total normal time:

The normal time is calculated by adding the normal time of all the elements.

Normal time=Sum of normal times=0.51+0.65+0.49+1.45=3.08 minutes

Hence, the total normal time is 3.08 minutes.

b)

Summary Introduction

To determine: The standard time for the operation.

Introduction: Time study is the basis that helps set the standard time, it would time a sample of the performance of the worker.

b)

Expert Solution
Check Mark

Answer to Problem 25P

Thestandard time is calculated as 5.4 minutes.

Explanation of Solution

Given information:

The allowance for tasks is given as 7% for personal, 10% for fatigue, and 3% for delay. The observed time and performance rating for each element are given as follows:

Element Performance rating Observation (minutes per cycle)
1 2 3 4 5
1 110% 0.5 0.4 0.6 0.4 0.4
2 95% 0.6 0.8 0.7 0.6 0.7
3 90% 0.6 0.4 0.7 0.5 0.5
4 85% 1.5 1.8 2 1.7 1.5

Formulae to calculate standard time:

Allowance factor=Personal+Fatigue+Delay

Standard time=Normal time1Allowance factor

Calculate the allowance factor:

The allowance factor is calculated by adding personal allowance, fatigue, and delay allowance. Personal allowance is given as 7%, fatigue is 10%, and delay allowance is 3%. Hence, the allowance factor is 20%.

Allowance factor=Personal+Fatigue+Delay=7%+10%+3%=20%

Calculate the standard time:

The standard time is calculated by dividing the normal time with the value attained by subtracting the allowance factor from 1. The normal time is calculated as 3.08 minutes and the allowance factor is calculated as 20%

Standard time=Normal time1Allowance factor=3.08 minutes10.20=3.08 minutes0.80=3.85 minutes

Hence, the standard time is 3.85 minutes.

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