Firm A operates 10 hours each day, producing 100 parts/hour. If productivity were increased by 20%, how many hours would the plant have to work to produce 1000 parts? A) less than 2 hours B) between 9 and 10 hours C) between 2 and 6 hours D) between 6 and 8 hours E) between 8 and 9 hours

Question

High School

Answer :

ritikyaduvanshi059 ritikyaduvanshi059 · Answer 1 · 2024-06-04T01:54:07-04:00

To produce 1000 parts, Firm A would need to work between 8 and 9 hours.

To find the number of hours Firm A would have to work to produce 1000 parts, we can use the formula:

Total parts = Production rate * Hours worked

Given that Firm A produces 100 parts/hour and operates for 10 hours each day, we have:

Total parts = 100 parts/hour * 10 hours/day = 1000 parts/day

If the productivity were increased by 20%, the new production rate would be:

New production rate = 100 parts/hour + 20% * 100 parts/hour = 120 parts/hour

To find the new number of hours needed to produce 1000 parts, we can rearrange the formula:

New hours = Total parts / New production rate = 1000 parts / 120 parts/hour = 8.33 hours

Therefore, the plant would need to work between 8 and 9 hours to produce 1000 parts.

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