Problem 2.6a: Manager Checked Production Records And Found T

Problem 2 6a Manager Checked Production Records And Found That A Worke

Problem 2-6 A manager checked production records and found that a worker produced 195 units while working 50 hours. In the previous week, the same worker produced 144 units while working 40 hours. a. Compute Current period productivity and Previous period productivity. (Round your answers to 2 decimal places.) Current period productivity by [removed] %.

Paper For Above instruction

Introduction

Productivity measurement is crucial in evaluating the efficiency of workers and overall operational performance within a production environment. It provides insights into how effectively resources are being utilized to generate output. The calculation of productivity ratios over different periods allows organizations to assess improvements, identify areas for optimization, and make informed managerial decisions. This paper analyzes the productivity of a worker over two periods based on units produced and hours worked, emphasizing the importance of accurate productivity calculations and their implications for management.

Calculating Current and Previous Period Productivity

The primary goal of this analysis is to compute the worker's productivity for both the current and previous periods. Productivity, in this context, is defined as the number of units produced per hour worked. The formula for individual worker productivity is:

\[

\text{Productivity} = \frac{\text{Units Produced}}{\text{Hours Worked}}

\]

Applying this formula to both periods gives a clear measure of how efficiently the worker is operating during each time frame.

Current Period Productivity

For the current period, the worker produced 195 units over 50 hours. Using the productivity formula:

\[

\text{Current Period Productivity} = \frac{195}{50} = 3.9 \, \text{units per hour}

\]

This value indicates the worker's current efficiency, showing that they produce approximately 3.90 units per hour.

Previous Period Productivity

Similarly, for the previous week, the worker produced 144 units over 40 hours:

\[

\text{Previous Period Productivity} = \frac{144}{40} = 3.6 \, \text{units per hour}

\]

This reflects the worker's efficiency in the prior period, producing 3.60 units per hour.

Calculating Productivity Increase

To determine the improvement in productivity from the previous week to the current week, the percentage increase is calculated as follows:

\[

\text{Percentage Increase} = \frac{\text{Current Productivity} - \text{Previous Productivity}}{\text{Previous Productivity}} \times 100

\]

Substituting the values:

\[

\frac{3.9 - 3.6}{3.6} \times 100 = \frac{0.3}{3.6} \times 100 \approx 8.33\%

\]

Therefore, the worker's productivity increased by approximately 8.33% in the current period compared to the previous week.

Conclusion

In conclusion, the worker's productivity improved from 3.60 units per hour to 3.90 units per hour, representing an approximately 8.33% increase. Such measurements are critical for management to understand workforce efficiency, monitor performance trends, and implement strategies to enhance productivity. Regularly assessing productivity metrics helps organizations optimize resource utilization, improve output quality, and maintain competitive advantages in their respective industries.

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