Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To determine the crashing cost per day for each activity in the project, we need to follow these steps:
1. Understand the given data:
- Each activity has a normal duration (in days) and a normal cost (in million).
- Each activity also has a crashed duration (in days) and a crashed cost (in million).
- Crashing involves shortening the activity's duration at an increased cost.
2. Calculate the crashing cost per day:
- For each activity that can be crashed, compute the crashing cost per day using the formula:
[tex]\[ \text{Crashing cost per day} = \frac{\text{Crashed cost} - \text{Normal cost}}{\text{Normal duration} - \text{Crashed duration}} \][/tex]
3. Apply the formula to each activity and determine the crashing costs.
### Given Data and Calculation:
1. Activity A:
- Normal duration: 5 days
- Normal cost: 100 million
- Crashed duration: 3 days
- Crashed cost: 1500 million
[tex]\[ \text{Crashing cost per day for A} = \frac{1500 - 100}{5 - 3} = \frac{1400}{2} = 700 \text{ million per day} \][/tex]
2. Activity B:
- Normal duration: 7 days
- Normal cost: 700 million
- Crashed duration: 6 days
- Crashed cost: 0 million (not given, assume it is 0 for calculation)
[tex]\[ \text{Crashing cost per day for B} = \frac{0 - 700}{7 - 6} = \frac{-700}{1} = -700 \text{ million per day} \][/tex]
3. Activity C:
- Normal duration: 3 days
- Normal cost: 0 million (not given, assume it is 0 for calculation)
- Crashed duration: None (not given, assume it is same as normal duration)
[tex]\[ \text{Crashing cost per day for C} = 0 \text{ million per day} \][/tex]
4. Activity D:
- Since Activity D cannot be shortened, we do not calculate the crashing cost for it.
5. Activity E:
- Normal duration: 9 days
- Normal cost: 3750 million
- Crashed duration: 6 days
- Crashed cost: 9000 million
[tex]\[ \text{Crashing cost per day for E} = \frac{9000 - 3750}{9 - 6} = \frac{5250}{3} = 1750 \text{ million per day} \][/tex]
6. Activity F:
- Normal duration: 4 days
- Normal cost: 0 million (not given, assume it is 0 for calculation)
- Crashed duration: None (not given, assume it is same as normal duration)
[tex]\[ \text{Crashing cost per day for F} = 0 \text{ million per day} \][/tex]
7. Activity G:
- Normal duration: None (not given, assume it is same as crashed duration)
- Normal cost: 1600 million
- Crashed duration: 3 days
- Crashed cost: 2500 million
[tex]\[ \text{Crashing cost per day for G} = 0 \text{ million per day} \][/tex]
8. Activity H:
- Normal duration: 8 days
- Normal cost: 9000 million
- Crashed duration: 5 days
- Crashed cost: 15000 million
[tex]\[ \text{Crashing cost per day for H} = \frac{15000 - 9000}{8 - 5} = \frac{6000}{3} = 2000 \text{ million per day} \][/tex]
### Summary of Crashing Costs per Day for Each Activity:
- Activity A: 700 million per day
- Activity B: -700 million per day
- Activity C: 0 million per day
- Activity D: Not applicable (cannot be shortened)
- Activity E: 1750 million per day
- Activity F: 0 million per day
- Activity G: 0 million per day
- Activity H: 2000 million per day
Thus, these are the crashing costs for each activity in the project.
1. Understand the given data:
- Each activity has a normal duration (in days) and a normal cost (in million).
- Each activity also has a crashed duration (in days) and a crashed cost (in million).
- Crashing involves shortening the activity's duration at an increased cost.
2. Calculate the crashing cost per day:
- For each activity that can be crashed, compute the crashing cost per day using the formula:
[tex]\[ \text{Crashing cost per day} = \frac{\text{Crashed cost} - \text{Normal cost}}{\text{Normal duration} - \text{Crashed duration}} \][/tex]
3. Apply the formula to each activity and determine the crashing costs.
### Given Data and Calculation:
1. Activity A:
- Normal duration: 5 days
- Normal cost: 100 million
- Crashed duration: 3 days
- Crashed cost: 1500 million
[tex]\[ \text{Crashing cost per day for A} = \frac{1500 - 100}{5 - 3} = \frac{1400}{2} = 700 \text{ million per day} \][/tex]
2. Activity B:
- Normal duration: 7 days
- Normal cost: 700 million
- Crashed duration: 6 days
- Crashed cost: 0 million (not given, assume it is 0 for calculation)
[tex]\[ \text{Crashing cost per day for B} = \frac{0 - 700}{7 - 6} = \frac{-700}{1} = -700 \text{ million per day} \][/tex]
3. Activity C:
- Normal duration: 3 days
- Normal cost: 0 million (not given, assume it is 0 for calculation)
- Crashed duration: None (not given, assume it is same as normal duration)
[tex]\[ \text{Crashing cost per day for C} = 0 \text{ million per day} \][/tex]
4. Activity D:
- Since Activity D cannot be shortened, we do not calculate the crashing cost for it.
5. Activity E:
- Normal duration: 9 days
- Normal cost: 3750 million
- Crashed duration: 6 days
- Crashed cost: 9000 million
[tex]\[ \text{Crashing cost per day for E} = \frac{9000 - 3750}{9 - 6} = \frac{5250}{3} = 1750 \text{ million per day} \][/tex]
6. Activity F:
- Normal duration: 4 days
- Normal cost: 0 million (not given, assume it is 0 for calculation)
- Crashed duration: None (not given, assume it is same as normal duration)
[tex]\[ \text{Crashing cost per day for F} = 0 \text{ million per day} \][/tex]
7. Activity G:
- Normal duration: None (not given, assume it is same as crashed duration)
- Normal cost: 1600 million
- Crashed duration: 3 days
- Crashed cost: 2500 million
[tex]\[ \text{Crashing cost per day for G} = 0 \text{ million per day} \][/tex]
8. Activity H:
- Normal duration: 8 days
- Normal cost: 9000 million
- Crashed duration: 5 days
- Crashed cost: 15000 million
[tex]\[ \text{Crashing cost per day for H} = \frac{15000 - 9000}{8 - 5} = \frac{6000}{3} = 2000 \text{ million per day} \][/tex]
### Summary of Crashing Costs per Day for Each Activity:
- Activity A: 700 million per day
- Activity B: -700 million per day
- Activity C: 0 million per day
- Activity D: Not applicable (cannot be shortened)
- Activity E: 1750 million per day
- Activity F: 0 million per day
- Activity G: 0 million per day
- Activity H: 2000 million per day
Thus, these are the crashing costs for each activity in the project.
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. 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 visiting Westonci.ca. Stay informed by coming back for more detailed answers.
