7. 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?
Answer: C
Production must increase by 1,750 units on each of the remaining workdays.
To meet normal production levels for the month after a job action halts production for the first 7 days, the factory needs to increase production by 1,750 units on each of the remaining workdays.
A) 500
This option suggests a minor increase of only 500 units per remaining workday. Given that the factory has lost 3,750 units of production during the first week and must recover that loss over the remaining days, 500 units per day is insufficient to meet the normal monthly target.
B) 688
An increase of 688 units per remaining workday does not adequately compensate for the total loss of 3,750 units due to the job action. Calculating the total production with this increase would still fall short of the required monthly output, making this option incorrect.
C) 1,750
Increasing production by 1,750 units on each of the remaining workdays effectively recovers the total lost production of 3,750 units across the remaining 2 days. This aligns with the necessary adjustment to meet the factory's normal production levels for the month, validating this choice as correct.
D) 3,750
A proposed increase of 3,750 units per workday is drastically excessive. Such a significant increase would far exceed the normal production requirement and is not feasible within the constraints of the remaining workdays. Therefore, this option is incorrect.
E) 5,500
Suggesting an increase of 5,500 units per remaining workday is unrealistic and unattainable within the operational capacity of the factory. This increase would not only overshoot the needed recovery but also disrupt normal production processes, making this option incorrect.
Conclusion
The correct increase of 1,750 units per remaining workday is necessary to compensate for the production halt and meet the factory's normal output level for the month. All other options either underestimate or overestimate the required adjustment, highlighting the importance of precise calculation in production planning.