Create A Decision Tree With Your Preferred Software

1ddcreate A Decision Tree With The Software Of Your Choice To Address

Construct a decision tree using the software of your choice to evaluate the options for addressing a project schedule risk. Specifically, when reviewing the project schedule on day 60, it becomes apparent that two additional engineers are necessary to meet the project deadline. Each engineer costs $25,000, and there is an existing fee of $120,000 paid to a legacy provider. The probabilities of completing the project on time under different staffing scenarios are as follows: with the current personnel—60%; with one additional engineer—80%; with both engineers—98%. The goal is to analyze the cost-effectiveness and risk implications of different decision paths in order to choose the optimal strategy.

Paper For Above instruction

In project management, addressing unforeseen risks that threaten timely completion is crucial for maintaining project success. When a project schedule review on day 60 reveals a potential delay, managers must determine the most effective course of action to mitigate this risk. One viable strategy involves hiring additional engineers to accelerate progress. To evaluate this decision quantitatively, constructing a decision tree provides a systematic approach to compare costs and probabilities associated with different staffing options.

The decision tree begins with a decision node that presents two options: either proceed without additional engineers or hire two engineers to bolster the team. Prior to the decision, the project has a 60% chance of on-time completion with current personnel. Hiring one engineer improves this probability to 80%, while employing two engineers further increases the likelihood to 98%. The financial implications differ significantly, with each engineer costing $25,000, and an additional fee of $120,000 already paid to a legacy provider. The total expected costs under each scenario can be calculated by combining the upfront expenses with the risk-adjusted probabilities of successful, on-time completion.

From a cost perspective, proceeding without additional engineers incurs the current risk of delay, which can lead to penalty costs, contractual fines, or client dissatisfaction—factors that are sometimes difficult to quantify but essential for comprehensive decision-making. Hiring one engineer costs $25,000 and raises the success probability to 80%. The expected cost of delay can be expressed as the product of the probability of failure and the costs associated with project overruns or penalties. Hiring two engineers increases the success probability to 98%, but at a total additional cost of $50,000, which might be justified if the costs of project delay are substantial.

Analyzing the decision tree involves calculating the expected monetary value (EMV) for each branch. For example, the EMV for hiring two engineers considers the high probability of success ($120,000 fee plus $50,000 for engineers) and the reduced risk of costly delays. In contrast, proceeding without additional resources has a lower immediate cost but a higher probability of delay, potentially resulting in greater total costs or reputational damage. The decision tree quantifies these trade-offs, empowering managers to optimize resource allocation based on both financial and risk considerations.

Furthermore, sensitivity analysis can be employed to assess how variations in the probability of success or costs influence the decision. For instance, if the cost of delay escalates due to contractual penalties, investing in two engineers might be justified even if their combined cost exceeds initial estimates. Conversely, if the risk of delay is less critical, the project team might opt for the current staffing levels, accepting a modest chance of delay.

By modeling this scenario within decision analysis software such as Microsoft Project, PrecisionTree (from Palisade), or even specialized decision tree tools like Lucidchart or SmartDraw, managers can visualize and manipulate the various decision paths interactively. These tools facilitate a clearer understanding of the probabilities, costs, and outcomes, enabling more data-driven decisions. The ultimate goal is to balance the additional expenditure of resources against the potential costs of project delay, ensuring that the chosen strategy aligns with the project’s risk appetite and stakeholder expectations.

References

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