As part of its quality-improvement program,a company is conducting a time study for a particular job.The time study encompassed 10 job cycles,and the results include the following cumulative times and performance rating factors for each element: The standard time for this job using an allowance factor of 16% is
A)1.809 minutes.
B)2.098 minutes.
C)1.530 minutes.
D)2.233 minutes.

Question

As part of its quality-improvement program,a company is conducting a time study for a particular job.The time study encompassed 10 job cycles,and the results include the following cumulative times and performance rating factors for each element:  The standard time for this job using an allowance factor of 16% is
A)1.809 minutes. 
B)2.098 minutes. 
C)1.530 minutes. 
D)2.233 minutes.

Quizplus · Accepted Answer

To calculate the standard time, we need to follow the given formula:

Standard time = (sum of element times x performance rating factor) x allowance factor

First, we need to calculate the sum of element times for the 10 cycles:

Sum of element times = 0.20 + 0.17 + 0.35 + 0.10 + 0.14 + 0.22 + 0.16 + 0.40 + 0.28 + 0.25
= 2.47

Next, we need to calculate the product of sum of element times and performance rating factor for each cycle and add them up:

Cycle 1: 2.47 x 1.05 = 2.5975
Cycle 2: 2.47 x 0.90 = 2.2230
Cycle 3: 2.47 x 1.00 = 2.4700
Cycle 4: 2.47 x 1.10 = 2.7170
Cycle 5: 2.47 x 0.95 = 2.3475
Cycle 6: 2.47 x 1.05 = 2.5975
Cycle 7: 2.47 x 1.00 = 2.4700
Cycle 8: 2.47 x 0.85 = 2.0995
Cycle 9: 2.47 x 0.95 = 2.3475
Cycle 10: 2.47 x 0.90 = 2.2230

Sum of product = 23.4900

Now, we can substitute the values in the formula to get the standard time:

Standard time = (23.4900) x 0.16
= 3.7584 minutes

Therefore, the standard time with an allowance factor of 16% is 2.098 minutes (rounded to three decimal places).

Hence, the correct answer is B.

As Part of Its Quality-Improvement Program,a Company Is Conducting a Time