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A worker-machine operation was found to involve 4.6 minutes of machine time per

ID: 330645 • Letter: A

Question

A worker-machine operation was found to involve 4.6 minutes of machine time per cycle in the course of 40 cycles of stopwatch study. The worker’s time averaged 3.1 minutes per cycle, and the worker was given a rating of 121 percent (machine rating is 100 percent). Midway through the study, the worker took a 10-minute rest break. Assuming an allowance factor of 13 percent of work time which is applied only to the worker element (not the machine element), determine the standard time for this job. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Standard time            minutes

Explanation / Answer

To be calculated:

Standard time of the job

Given values:

Machine time = 4.6 minutes per cycle

Total number of cycles = 40

Worker average time = 3.1 minutes per cycle

Machine rating = 100%

Worker rating = 121%

Allowance factor = 13% = 0.13

Solution:

Standard time is calculated as;

Standard time = Normal machine time + [Normal worker time x (1 + allowance factor)]

Normal time = (Observed time x Performance rating) / 100

Normal machine time = (4.6 x 100) / 100 = 4.6 minutes

Normal worker time = (3.1 x 121) / 100 = 3.751 minutes

Standard time = Normal machine time + [Normal worker time x (1 + allowance factor)]

Standard time = 4.6 + [3.751 x (1 + 0.13)]

Standard time = 4.6 + 4.23863

Standard time = 8.83863

Standard time = 8.84 minutes

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