If the project is crashed by one week, the increase in project cost, in lakh INR,?
Understand the Problem
The question is asking for the increase in project cost when a project is crashed by one week. It requires analysis of the crashing costs associated with each activity in the project network.
Answer
$2.0$ lakh INR
Answer for screen readers
The increase in project cost when crashed by one week is $2.0$ lakh INR.
Steps to Solve
- Identify the activities and their crashing costs
From the provided data, we have the following activities and their crashing costs per week (in lakh INR):
- Activity A: 4.0 lakh INR
- Activity B: 2.5 lakh INR
- Activity C: 2.0 lakh INR
- Activity D: 3.0 lakh INR
- Activity E: 4.0 lakh INR
- Calculate the maximum reduction in duration from crashing
Identify the activities with the ability to crash and calculate the maximum duration reduction. Since we need to crash the project by 1 week, check which activities can be crashed:
- Activity A: Original duration = 5 weeks; can crash by 1 week (total cost = 4.0)
- Activity B: Original duration = 6 weeks; can crash by 1 week (total cost = 2.5)
- Activity C: Original duration = 8 weeks; can crash by 1 week (total cost = 2.0)
- Activity D: Original duration = 3 weeks; can crash by 1 week (total cost = 3.0)
- Activity E: Original duration = 4 weeks; can crash by 1 week (total cost = 4.0)
- Selecting the minimum crashing cost
To determine the cost for crashing by 1 week, find the activity with the lowest crashing cost. The options are:
- Activity A: 4.0 lakh INR
- Activity B: 2.5 lakh INR
- Activity C: 2.0 lakh INR
- Activity D: 3.0 lakh INR
- Activity E: 4.0 lakh INR
The minimum cost is from Activity C at 2.0 lakh INR.
- Conclude the total increase in project cost
Since we only need to crash for one week, the total increase in project cost is simply the crashing cost of the selected activity, which is:
$$ \text{Total Increase in Project Cost} = 2.0 \text{ lakh INR} $$
The increase in project cost when crashed by one week is $2.0$ lakh INR.
More Information
Crashing a project involves reducing the schedule duration by utilizing additional resources or altering the project schedule, often at an increased cost. The goal is to minimize the time taken to complete the project while managing costs effectively.
Tips
- Assuming all activities can be crashed without checking the original durations and limits.
- Not selecting the activity with the minimum crashing cost for the required duration.
