Based on a time study, what is the calculated standard time for an assembly operation with a performance rating of 1.15 and an allowance factor of 10%?

To determine the standard time for an assembly operation based on the performance rating and the allowance factor, you first need to understand how to calculate the standard time using the formula:

Standard Time = (Actual Time × Performance Rating) / (1 - Allowance Factor)

In this scenario, we are given that the performance rating is 1.15 and the allowance factor is 10%, or 0.10 in decimal form.

To calculate the standard time, we can rearrange the formula slightly if we already have the actual time recorded from the time study. Assuming the actual time is a known value (let's work it through with a hypothetical actual time to see how the values might relate):

1. First, we would need to consider the adjusted time factoring in performance improvement:

[

Adjusted Time = Actual Time × Performance Rating

]

This gives us the time that would be expected to complete the task based on the above-average performance indicated by the performance rating.

2. Then, we must account for the allowances:

[

Standard Time = Adjusted Time / (1 - Allowance Factor)

]

Inserting the allowance factor:

[

Standard Time = Adjusted Time /