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A manual assembly line must be designed for a product with annual demand of 150,000 units. The line will operate 50 wk/yr, 10 shifts/wk, and 7.5 hr/shift. Work units will be attached to a continuously moving conveyor. Work content time is 58.0 min. Assume line efficiency is 0.95, balancing efficiency is 0.93, and repositioning time is 8 sec. Determine the actual number of workers required.

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Answer:

The required workers will be 48

Step-by-step explanation:

The first step will be calcualte the rate of production per hour:

Rate: 150,000 / (50 wk x 10/wk x 7.5hr/shift) = 150,000/3750 = 40

Then the amount it takes to do a single unit:

Cicle: 60 minutes per hours x 0.95 efficiency / 40 units per hour:

1.425 minutes per unit

Then we include repositioning:

1.425 - repositioning: 8/60 = 1,291666666666667 min

The actual workers needed will be:

working time / balancing efficient x net cycle

58 minutes per worker / 0.93 (1,291666666666667) = 48

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