Annual demand for a new assembled product is expected to be 80,000 units. Work content time for the product is 22.7 min. The assembly line operates 50 wk/yr, 40 hr/wk. Expected line efficiency is 95%. With one worker per station, determine (a) average hourly production rate, (b) cycle time, and (c) ideal minimum number of workers.

Respuesta :

Answer:

average hourly production = 40 units

cycle time = 1.425 min

ideal minimum number of work = 16 worker

Explanation:

given data

annual demand for product = 80,000 units

Work content time = 22.7 min

work for week = 50 wk/yr

no of hr/week = 40 hr/wk

efficiency = 95% = 0.95

to find out

average hourly production rate and cycle time and ideal minimum number of worker

solution

we get here average hourly production rate that is express as

average hourly production = [tex]\frac{Da}{50H}[/tex]  ........1

average hourly production = [tex]\frac{80000}{50*40}[/tex]  

average hourly production = 40 units

and

cycle time is

cycle time = [tex]\frac{60*efficiency}{average\ hourly\ production}[/tex]

cycle time = [tex]\frac{60*0.95}{40}[/tex]

cycle time = 1.425 min

and

ideal minimum number of work is

W = minimum integer ≥ [tex]\frac{time}{cycle\ time}[/tex]

W = minimum integer ≥ [tex]\frac{22.7}{1.425}[/tex]

ideal minimum number of work = 15.93 = 16 workers

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