Critical Path Method (CPM)

Correct Answer: The EAD represents the most likely duration based on probabilistic calculations from optimistic and pessimistic estimates

In Critical Path Method (CPM), Expected Activity Duration (EAD) is calculated using a probabilistic approach that takes into account three time estimates: optimistic, most likely, and pessimistic durations. The formula used is (O + 4M + P)/6, where O is optimistic, M is most likely, and P is pessimistic duration. This calculation method provides a weighted average that accounts for uncertainty and variance in task durations, giving more weight to the most likely estimate. The other answers are incorrect because: - Summing durations and dividing by parallel paths is not a valid CPM calculation method - Using only the average between shortest and longest times oversimplifies the calculation and fails to account for the most likely duration - EAD calculations are not related to resource optimization - they focus on time estimates and probability distributions

Correct Answer: Evaluating the ratio between activity duration and available buffer time

In CPM, when resource constraints affect float values, the most accurate way to determine task-level risk is by evaluating the ratio between activity duration and available buffer time. This approach is optimal because: 1. It provides a proportional measure of risk relative to the task's size 2. It accounts for both the activity's time requirements and the flexibility in scheduling 3. It helps identify which activities have the least buffer protection relative to their duration The other options are less effective because: - Comparing float duration to project standard deviation mixes different types of measurements and doesn't account for resource-specific constraints - Analyzing resource utilization percentage focuses too heavily on resource aspects while underemphasizing time-based risks - Calculating variance between early start dates and resource windows overlooks the critical relationship between activity duration and available flexibility

Correct Answer: The path with higher resource intensity should be considered the primary critical path

In Critical Path Method (CPM), when parallel paths have identical durations but different resource intensity levels, the path with higher resource intensity (35% vs 20%) should be prioritized as the primary critical path. Here's why: 1. Higher resource intensity paths have: - Less flexibility in resource allocation - Greater impact on overall project resources - More complex dependencies - Higher risk of delays due to resource constraints 2. By prioritizing the higher resource intensity path: - Project managers can better control resource allocation - Risk mitigation becomes more effective - Schedule constraints are managed proactively - Resource conflicts are addressed early The other options are incorrect because: - Equal priority doesn't address the resource intensity difference effectively - Progressive elaboration doesn't solve the immediate resource allocation needs - Choosing the lower intensity path reduces control over the more resource-intensive activities, which could lead to scheduling conflicts