High School

We appreciate your visit to An electronic manufacturing facility operates 10 hours each day and produces 100 cabled headphones per hour If productivity were increased by 20 how many hours. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

An electronic manufacturing facility operates 10 hours each day and produces 100 cabled headphones per hour. If productivity were increased by 20%, how many hours would the facility have to work to produce 1000 cabled headphones?

A. 8 hours
B. 9 hours
C. 10 hours
D. 11 hours

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:

  1. 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.

Thanks for taking the time to read An electronic manufacturing facility operates 10 hours each day and produces 100 cabled headphones per hour If productivity were increased by 20 how many hours. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada