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a factory operates three eight-hour shifts per day, five days per week. their effective capacity is 175 units per hour. last week they produced 17702 units. what was their efficiency last week?

User ItzDavi
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Final answer:

The factory's efficiency last week was determined by dividing the actual output of 17,702 units by the theoretical maximum output of 21,000 units and then multiplying by 100%, resulting in an efficiency of 84.3%.

Step-by-step explanation:

The question asks how to calculate the efficiency of a factory's production over the past week. The factory operates three eight-hour shifts per day, five days per week, with an effective capacity of 175 units per hour. Last week, they produced a total of 17,702 units. To calculate efficiency, we first determine the theoretical maximum production capacity:

  • 3 shifts × 8 hours/shift × 5 days = 120 hours per week
  • 120 hours × 175 units/hour = 21,000 units (theoretical maximum)

Next, we calculate the efficiency using the formula:

Efficiency = (Actual Output / Theoretical Maximum Output) × 100%

Efficiency = (17,702 units / 21,000 units) × 100%

Efficiency = 84.3%

The factory's efficiency last week was 84.3%, which indicates how well the factory utilized its capacity to produce units.

User Sharpner
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