Final answer:
The standard time for the operation is 7.425 minutes, which is the sum of the standard times for both machine and manual operations.
Step-by-step explanation:
To find the standard time for the operation, we need to separate the machine operations from the manual operations. The rating factor for machine operations is 100%, so the machine allowance is already included in the mean cutting time. The standard time for machine operations is 3.74 minutes. To calculate the standard time for manual operations, we need to subtract the machine allowance and fatigue allowance from the mean manual effort time. The machine allowance is 10% of the mean cutting time (10% of 3.74 minutes = 0.374 minutes) and the fatigue allowance is 15% of the mean cutting time (15% of 3.74 minutes = 0.561 minutes). Therefore, the standard time for manual operations is 4.62 minutes - 0.374 minutes - 0.561 minutes = 3.685 minutes.
Now, we can calculate the total standard time by summing the standard times for both machine and manual operations. The total standard time is 3.74 minutes (machine operation) + 3.685 minutes (manual operation) = 7.425 minutes.