Hamid, a project manager, has a workload of 24,000 hours that needs to be completed in 75 workdays. He has a team of 40 people who work for five 8-hour days per week. In those 75 days, 20 people have each requested three days off at different times. In this scenario, the workload is _____ of capacity
A) 80 percent
B) 102 percent
C) 95 percent
D) 75 percent
E) 150 percent

Question

Quizplus · Accepted Answer

First, calculate the total available work hours. With 40 people working 5 days a week for 8 hours a day, for 75 days, minus the time off requested:- Total workdays without holidays = 75 days- Total work hours per day = 40 people * 8 hours = 320 hours- Total potential work hours = 75 days * 320 hours/day = 24,000 hours- Total days off = 20 people * 3 days = 60 days- Total hours off = 60 days * 8 hours/day = 480 hours- Adjusted total work hours = 24,000 hours - 480 hours = 23,520 hoursNow, compare the workload to the adjusted capacity:- Workload = 24,000 hours- Adjusted capacity = 23,520 hoursThe workload is 24,000 hours, and the adjusted capacity is 23,520 hours, so the workload exceeds the adjusted capacity. To find the percentage:$$ \text{Percentage of capacity} = \left( \frac{\text{Workload}}{\text{Adjusted capacity}} \right) \times 100 $$$$ \text{Percentage of capacity} = \left( \frac{24,000}{23,520} \right) \times 100 \approx 102\% $$Therefore, the workload is 102 percent of capacity.

Hamid, a Project Manager, Has a Workload of 24,000 Hours