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Problem 7-3 A time study was conducted on a job that contains four elements. The

ID: 352621 • Letter: P

Question

Problem 7-3 A time study was conducted on a job that contains four elements. The observed times and performance ratings for six cycles are shown in the following table OBSERVATIONS (minutes per cycle) Performance Rating 98% Element 0.50 0.43 0.45 0.48 0.44 1.50 1.54 1.47 1.51 1.49 1.52 0.84 0.89 0.77 0.83 0.85 .80 1.10 1.14 1.08 1.20 1.16 1.26 0.46 85 110 100 4 a. Determine the average cycle time for each element. (Round your answers to 3 decimal places.) Element Average cycle 4 b. Find the normal time for each element. (Round your intermediate calculations and final answers to 3 decimal places.) Element Normal time c. Assuming an allowance factor of 15 percent of job time, compute the standard time for this job. (Round your intermediate calculations and final answers to 3 decimal places.) Element Standard time 4

Explanation / Answer

Please find below calculation for average cycle time / Normal time / Standard time as asked for :

O B S E R V A T I O N S (MINUTES PER CYCLE)

Element

Performance rating (%)

1

2

3

4

5

6

Average cycle time

Normal time

Standard time

1

90

0.44

0.5

0.43

0.45

0.48

0.46

0.460

0.414

0.476

2

85

1.5

1.54

1.47

1.51

1.49

1.52

1.505

1.279

1.471

3

110

0.84

0.89

0.77

0.83

0.85

0.8

0.830

0.913

1.050

4

100

1.1

1.14

1.08

1.2

1.16

1.26

1.157

1.157

1.330

Following to be noted :

Average cycle time for any element = Sum of 6 observations / 6

Normal time for any element = Average cycle time x Performance rating (%)/100

Standard time for any element = Normal time for the element x 1.15 ( because of 15% allowance factor )

Answer to question a :

Element

Average cycle time ( minutes)

1

0.460

2

1.505

3

0.830

4

1.157

Answer to question b :

Element

Average cycle time ( minutes)

1

0.414

2

1.279

3

0.913

4

1.157

Answer to question c :

Element

Average cycle time ( minutes)

1

0.476

2

1.471

3

1.050

4

1.330

O B S E R V A T I O N S (MINUTES PER CYCLE)

Element

Performance rating (%)

1

2

3

4

5

6

Average cycle time

Normal time

Standard time

1

90

0.44

0.5

0.43

0.45

0.48

0.46

0.460

0.414

0.476

2

85

1.5

1.54

1.47

1.51

1.49

1.52

1.505

1.279

1.471

3

110

0.84

0.89

0.77

0.83

0.85

0.8

0.830

0.913

1.050

4

100

1.1

1.14

1.08

1.2

1.16

1.26

1.157

1.157

1.330