The staff training center at a large hospital provides training sessions in CPR to all employees. Assume that the capacity of this training system was designed to be 1200 employees per year. Since the training center was first put in use, the program has become more complex, so that now a maximum of 1050 employees can be trained per year. In the past year, 925 employees were trained. The efficiency of this system is approximately _ and its utilization is approximately ___.(Points : 1)
1050 employees; 925 employees
114%; 130%
88.1%: 77.1%
77.1%; 88.1%
None of the above
The correct answer and explanation is :
To determine the efficiency and utilization of the training system, we need to apply two key formulas:
1. Utilization:
Utilization refers to how much of the system’s actual capacity is being used in a given period. It can be calculated using the formula:
[
\text{Utilization} = \left(\frac{\text{Actual output}}{\text{Maximum capacity}}\right) \times 100
]
Where:
- Actual output = 925 employees trained
- Maximum capacity = 1050 employees per year
[
\text{Utilization} = \left(\frac{925}{1050}\right) \times 100 \approx 88.1\%
]
This means the training center is using 88.1% of its maximum capacity.
2. Efficiency:
Efficiency refers to how well the system is performing compared to its designed capacity. It can be calculated using the formula:
[
\text{Efficiency} = \left(\frac{\text{Actual output}}{\text{Designed capacity}}\right) \times 100
]
Where:
- Actual output = 925 employees trained
- Designed capacity = 1200 employees per year
[
\text{Efficiency} = \left(\frac{925}{1200}\right) \times 100 \approx 77.1\%
]
This means the training system is operating at 77.1% of its designed capacity.
Final Answer:
- Efficiency: 77.1%
- Utilization: 88.1%
Thus, the correct answer is:
- 77.1%; 88.1%
Explanation:
- Utilization shows the actual use of the system’s maximum capacity. Since the system can train 1050 employees per year and trained 925 employees last year, the utilization is approximately 88.1%, indicating that it is using a significant portion of its available capacity.
- Efficiency, on the other hand, compares the system’s actual performance (925 employees trained) to its original designed capacity (1200 employees). The system is operating at about 77.1% efficiency, meaning it is not reaching its full potential in terms of the number of employees it was initially designed to train.
The distinction between these two measures is important in understanding how well the system is performing relative to its design and maximum capacity.