A certain factory normally produces 500 units per hour for a 7(1/2)-hour workday. In a month with 22 workdays, no units are produced in the first 7 days because of a job action. By how many units must production increase on each of the remaining workdays of the month in order to meet normal production levels for the month?
Production must increase by 1,750 units on each remaining workday.
To meet normal production levels after a week of no production, the factory needs to calculate the increased output required per day for the remaining workdays in the month. Given the total production goal and the days lost, this translates to an increase of 1,750 units per day.
This option represents the normal production rate per hour but does not account for the total production needed to make up for the lost units. A mere increase of 500 units per day would not suffice to reach the target production level after losing an entire week.
An increase of 688 units is insufficient because it does not consider the total production goal of 3,750 units needed to compensate for the lost production after the job action. This figure does not reflect the necessary adjustments to meet the monthly target.
This is the correct answer because the factory needs to produce an additional 1,750 units for each of the remaining workdays. With 15 workdays left after the 7-day job action, this increase allows the factory to meet the normal monthly production target of 11,250 units.
This figure represents the total units that were not produced during the first week rather than the daily increase required. It does not provide a per-day increase that can be sustained across the remaining workdays to fulfill the production goal.
An increase of 5,500 units per day is excessively high and unrealistic. This number exceeds the total monthly production requirement and suggests a misunderstanding of the production goals and time frame involved in compensating for the lost workdays.
To recover from the production loss due to the job action, the factory must increase its output by 1,750 units per day over the remaining 15 workdays. This adjustment ensures that it meets the monthly production goal of 11,250 units, highlighting the importance of accurate calculations in manufacturing operations.
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