Which of the following recorded the highest growth rate in manufacturing units from the year 2021 to the year 2022?Plant Units manufactured in 2021 2022 A 150 175 B 225 269 C 300 315 D 130 169 E 150 172
Growth Rate Calculation for Manufacturing Units
The question asks us to identify the plant that recorded the highest growth rate in manufacturing units between the years 2021 and 2022.
Manufacturing Units Data (2021-2022)
| Plant | Units manufactured in 2021 | Units manufactured in 2022 |
|---|---|---|
| A | 150 | 175 |
| B | 225 | 269 |
| C | 300 | 315 |
| D | 130 | 169 |
| E | 150 | 172 |
Calculating Growth Rates
To find the growth rate for each plant, we use the following formula:
Growth Rate = $ \left( \frac{\text{Units in 2022} - \text{Units in 2021}}{\text{Units in 2021}} \right) \times 100\% $
Let's calculate the growth rate for each plant:
- Plant A: Growth Rate = $ \left( \frac{175 - 150}{150} \right) \times 100\% = \left( \frac{25}{150} \right) \times 100\% = \frac{1}{6} \times 100\% \approx 16.67\% $
- Plant B: Growth Rate = $ \left( \frac{269 - 225}{225} \right) \times 100\% = \left( \frac{44}{225} \right) \times 100\% \approx 19.56\% $
- Plant C: Growth Rate = $ \left( \frac{315 - 300}{300} \right) \times 100\% = \left( \frac{15}{300} \right) \times 100\% = \frac{1}{20} \times 100\% = 5.00\% $
- Plant D: Growth Rate = $ \left( \frac{169 - 130}{130} \right) \times 100\% = \left( \frac{39}{130} \right) \times 100\% = \frac{3}{10} \times 100\% = 30.00\% $
- Plant E: Growth Rate = $ \left( \frac{172 - 150}{150} \right) \times 100\% = \left( \frac{22}{150} \right) \times 100\% = \frac{11}{75} \times 100\% \approx 14.67\% $
Summary of Growth Rates
| Plant | Growth Rate (2021-2022) |
|---|---|
| A | Approx. 16.67% |
| B | Approx. 19.56% |
| C | 5.00% |
| D | 30.00% |
| E | Approx. 14.67% |
Identifying Highest Growth Rate
Comparing the calculated growth rates:
- Plant A: 16.67%
- Plant B: 19.56%
- Plant C: 5.00%
- Plant D: 30.00%
- Plant E: 14.67%
The highest growth rate among all plants is 30.00%, which belongs to Plant D.
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