At a new watch assembly plant, a job is divided into three work elements. The el

Question

At a new watch assembly plant, a job is divided into three work elements. The element times for the first four cycles are recorded by the continuous method and are presented below along with a performance rating factor (RF) for each element.

The standard time for this job, assuming that the allowance is 18 percent, is:

A. greater than 2.1 minutes.

B. greater than 1.9 minutes but fewer than or equal to 2.0 minutes.

C. fewer than or equal to 1.9 minutes.

D. greater than 2.0 minutes but fewer than or equal to 2.1 minutes.

Observation time in minutes Work Element 1 2 3 4 RF 1 0.50 2.32 4.22 6.16 1.0 2 1.45 3.24 5.20 7.06 1.1 3 1.87 3.62 5.61 7.49 0.9

Explanation / Answer

As the times provided are the cumulative times, we proceed to construct the table below for the times taken for each element in each iteration.

Thus, Normal Time = 1.9115

Standard Time = Normal Time * (1 + Allowances) = 2.25557

Thus, the answer is A.

Observation/ Element 1 2 3 4 Average RF Normal Time 1 0.5 0.45 0.6 0.55 0.525 1 0.525 2 0.9 0.92 0.98 0.9 0.925 1.1 1.0175 3 0.42 0.38 0.41 0.43 0.41 0.9 0.369 Sum 1.9115

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