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.