Answer :
Final answer:
With a 20% productivity increase, the manufacturing facility would produce 120 headphones per hour. To produce 1,000 headphones at this rate, it would take approximately 8.33 hours. Rounding up, the facility needs to work for 9 hours. Thus, the correct answer is B. 9 hours.
Explanation:
The student's question revolves around the concept of increasing productivity and adjusting hours worked to achieve a set output. The manufacturing facility initially operates 10 hours each day and produces 100 cabled headphones per hour. With a 20% productivity increase, the number of headphones produced per hour will rise to 120 (100 + 20% of 100).
To determine how many hours are required to produce 1,000 cabled headphones at the increased productivity rate, we need to divide the total required headphones by the new hourly production rate:
- Total headphones required = 1,000
- New production rate = 120 headphones/hour
Using this information:
- Divide 1,000 headphones by 120 headphones/hour = approximately 8.33 hours
Since the facility cannot operate for a fraction of an hour, it would need to work for 9 hours to meet the target of 1,000 headphones. Thus, the correct answer is B. 9 hours.
