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A worker-machine operation was found to involve 4.9 minutes of machine time per

ID: 386646 • Letter: A

Question

A worker-machine operation was found to involve 4.9 minutes of machine time per cycle in the course of 40 cycles of stopwatch study. The worker's time averaged 3.4 minutes per cycle, and the worker was given a rating of 124 percent (machine rating is 100 percent). Midway through the study, the worker took a 10-minute rest break. Assuming an allowance factor of 10 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 timemnutes

Explanation / Answer

Given values:

Average time (machine) = 4.9 minutes per cycle.

Average time (worker) = 3.4 minutes per cycle.

Performance rating (machine) = 100% = 1.00

Performance rating (worker) = 124% = 1.24

Rest time = 10 minutes

Allowance factor = 10%

In order to calculate the standard time for the job, normal time needs to be calculated first.

Normal time (NT) is calculated as,

NT = Observed time x Performance rating

NT (machine) = 4.9 x 1.00 = 4.9 minutes

NT (worker) = 3.4 x 1.24 = 4.216 minutes

Standard time is calculated as,

Standard Time = Normal Time x Allowance Factor

ST (machine) = 4.9 x 1.00 = 4.9 minutes

ST (worker) = 4.216 x 1.10 = 4.6376 minutes

Standard time of the job is calculated as,

ST = ST (machine) + ST (worker)

ST = 4.9 + 4.6376

Standard time = 9.54 minutes

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