In an assembly line for assembling the engine, six workers are assigned tasks that take 22, 24, 26, 27, 25 and 26 minutes respectively. The balance delay for the line is:

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  1. 7.4%
  2. 14.8%
  3. 7%
  4. 10.3%

Answer (Detailed Solution Below)

Option 1 : 7.4%

Detailed Solution

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Explanation:

Balance Delay(BD) – It is the ratio of total idle time of the job on the assembly line to the total time spent by the job on the assembly line.

\(BD = \frac{{(n \times {T_c}) - {T_{wc}}}}{{n \times {T_c}}}\)

where

TC = Cycle time (time between two successive products coming out of the production line, it maximum of the work stations time)

TWC = Total work content (Equal to the sum of the processing time of each operation)

n = number of work stations

Calculation:

Given:

TC = 27, n = 6

TWC = 22 + 24 + 26 +27 + 25 + 26  = 150

Balance delay is:

\(BD= \frac{{(n \times {T_c}) - {T_{wc}}}}{{n \times {T_c}}}= \frac{{(6 \times 27) - 150}}{{6 \times 27}} \times 100 = 7.4\% \)

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