When a project team encounters a known dependency issue and lacks clarity on available options, the project manager should facilitate a collaborative problem-solving process to explore potential solutions. This approach aligns with the PMBOKGuide's emphasis on engaging the team in identifying alternatives and leveraging collective expertise to overcome project obstacles12. References: = Managing Project Dependencies and Conflicts2; PMBOKGuide3.

When a team member is struggling with a task, it is beneficial to leverage the experience within the team to provide support. This not only aids in the completion of the task but also contributes to the development of the less experienced team member's skills. By asking a more experienced team member to assist, the project manager fosters a collaborative environment where knowledge sharing is encouraged, and team members can learn from one another. This approach aligns with the PMBOKGuide's emphasis on team development and the PMI's focus on continuous learning and improvement within project teams.
: The approach of having an experienced team member support another is consistent with the principles outlined in the PMBOKGuide, which advocates for project managers to develop their team's competencies and enhance overall team performance. Additionally, the Professional in Business Analysis (PMI-PBA) reference materials highlight the importance of collaboration and knowledge transfer in project environments to ensure that all team members are equipped to contribute effectively to project objectives.

When a project undergoes an executive-level reorganization resulting in a new sponsor who is not keen on continuing the project, the project manager should engage with the new sponsor to align their understanding and commitment to the project's vision and outcomes. This approach is supported by PMI's guidelines which emphasize the importance of the project sponsor's role in championing the project, endorsing it as a valued investment, and maintaining a good working relationship with key stakeholders, including the project manager12. The project manager should utilize the opportunity to communicate the strategic significance of the project and how it serves the organization's objectives, thereby fostering support from the new sponsor1.
References:
Duties of the effective project sponsor | PMI1.
Project sponsorship: senior management's role in the successful outcome of projects | PMI2.