Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
### Step-by-Step Solution:
#### Part (a): Labor Productivity
1. Initial Data:
- Before improvement: 13.333 carts per worker per hour
- After improvement: 16.800 carts per worker per hour
2. Calculate the increase in labor productivity:
[tex]\( \text{Increase in labor productivity} = \text{After} - \text{Before} \)[/tex]
[tex]\[ \text{Increase in labor productivity} = 16.800 - 13.333 = 3.467 \][/tex]
3. Calculate the percentage increase in labor productivity:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Before}} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage Increase} = \left( \frac{3.467}{13.333} \right) \times 100 \approx 26.0\% \][/tex]
#### Part (b): Multifactor Productivity
1. Initial Data:
- Before improvement: 0.635 carts per dollar cost
- After improvement: 0.694 carts per dollar cost
2. Calculate the increase in multifactor productivity:
[tex]\( \text{Increase in multifactor productivity} = \text{After} - \text{Before} \)[/tex]
[tex]\[ \text{Increase in multifactor productivity} = 0.694 - 0.635 = 0.059 \][/tex]
3. Calculate the percentage increase in multifactor productivity:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Before}} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage Increase} = \left( \frac{0.059}{0.635} \right) \times 100 \approx 9.29\% \][/tex]
#### Part (c): Comment on Changes in Productivity
- Labor Productivity:
- The labor productivity increased by 3.467 carts per worker per hour, which is an increase of approximately 26.0%.
- Multifactor Productivity:
- The multifactor productivity increased by 0.059 carts per dollar cost, which is an increase of approximately 9.29%.
The increase in both labor productivity and multifactor productivity indicates improvement in overall efficiency. Labor productivity showed a significant increase, suggesting that workers are producing more carts per hour of work. Multifactor productivity also saw an increase, albeit a smaller one, indicating that the overall effectiveness of using both labor and equipment has improved. This implies that the operations became more efficient not only from a labor perspective but also when considering the combined cost of labor and equipment.
#### Part (a): Labor Productivity
1. Initial Data:
- Before improvement: 13.333 carts per worker per hour
- After improvement: 16.800 carts per worker per hour
2. Calculate the increase in labor productivity:
[tex]\( \text{Increase in labor productivity} = \text{After} - \text{Before} \)[/tex]
[tex]\[ \text{Increase in labor productivity} = 16.800 - 13.333 = 3.467 \][/tex]
3. Calculate the percentage increase in labor productivity:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Before}} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage Increase} = \left( \frac{3.467}{13.333} \right) \times 100 \approx 26.0\% \][/tex]
#### Part (b): Multifactor Productivity
1. Initial Data:
- Before improvement: 0.635 carts per dollar cost
- After improvement: 0.694 carts per dollar cost
2. Calculate the increase in multifactor productivity:
[tex]\( \text{Increase in multifactor productivity} = \text{After} - \text{Before} \)[/tex]
[tex]\[ \text{Increase in multifactor productivity} = 0.694 - 0.635 = 0.059 \][/tex]
3. Calculate the percentage increase in multifactor productivity:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Before}} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage Increase} = \left( \frac{0.059}{0.635} \right) \times 100 \approx 9.29\% \][/tex]
#### Part (c): Comment on Changes in Productivity
- Labor Productivity:
- The labor productivity increased by 3.467 carts per worker per hour, which is an increase of approximately 26.0%.
- Multifactor Productivity:
- The multifactor productivity increased by 0.059 carts per dollar cost, which is an increase of approximately 9.29%.
The increase in both labor productivity and multifactor productivity indicates improvement in overall efficiency. Labor productivity showed a significant increase, suggesting that workers are producing more carts per hour of work. Multifactor productivity also saw an increase, albeit a smaller one, indicating that the overall effectiveness of using both labor and equipment has improved. This implies that the operations became more efficient not only from a labor perspective but also when considering the combined cost of labor and equipment.
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
