you have been told to reduce your department by 15%. your department has 220 workers. there are 512 workers in the whole company. how many workers must be let go (round to the nearest worker)?
The Correct Answer and Explanation is :
To determine how many workers must be let go from a department of 220 employees in order to achieve a 15% reduction, we can follow these steps:
- Calculate the Number of Employees to be Let Go:
To find 15% of the department’s total workforce, we can use the formula: [
\text{Number of workers to be let go} = \text{Total workers} \times \text{Percentage reduction}
] Here, the total number of workers in the department is 220, and the percentage reduction is 15% (which can be expressed as 0.15 in decimal form). [
\text{Number of workers to be let go} = 220 \times 0.15
] [
\text{Number of workers to be let go} = 33
] - Conclusion:
Thus, to achieve a 15% reduction in the department, 33 workers must be let go.
Explanation
In organizational management, workforce reduction can often be a challenging yet necessary step for improving efficiency or responding to financial constraints. The decision to reduce the workforce by a certain percentage requires careful consideration and calculation. In this scenario, the target was set at a 15% reduction for a department consisting of 220 employees.
Calculating the number of positions to eliminate involves a straightforward mathematical approach. By applying the percentage reduction to the current number of employees, we find that 15% of 220 equals 33. This calculation provides a clear target for the number of employees that need to be laid off in order to meet the new departmental goals.
The implications of such a reduction can be profound, impacting not only the individuals who may lose their jobs but also the remaining workforce’s morale and productivity. Effective communication and support mechanisms must be established to assist those affected and to reassure remaining employees. Organizations typically strive to minimize disruption and maintain a positive working environment while implementing such significant changes.