The purpose of the 'closing a project' process in PRINCE2 is to verify that all project objectives have been delivered and that the project has nothing more to deliver. It ensures that all project products have been handed over and accepted, and evaluates the performance of the project against its baselines. References:
PRINCE2 Foundation Handbook, Closing a Project Process section.

According to the PRINCE2 risk management approach, a minimum requirement for applying the risk theme is to assess whether a risk may alter the project's business justification. This assessment ensures that risks are identified, analyzed, and managed in relation to their potential impact on the project's ability to deliver its intended benefits and justify the investment.References: = PRINCE2 7 Foundation handbook and online resources

The Plans theme in PRINCE2estimates the cost of delivering the project. This theme involves the preparation and maintenance of the necessary schedules and budgets to control the project, including outlining how, when, and by whom the project's products will be delivered and at what cost.References: PRINCE27 Foundation handbook and documents.

Under the 'exception management technique' in PRINCE2, the roles most likely to identify issues that exceed stage tolerances are the Project Executive and the Project Manager. The Project Manager monitors the project's progress against its plans and will identify any deviations that might breach the set tolerances. The Project Executive, being accountable for the project's overall success, also plays a crucial role in overseeing tolerance thresholds and taking appropriate actions when these are exceeded.References: (PRINCE27 Foundation Handbook, AXELOS)

In PRINCE2quality review meetings, the recommended roles include a Chair, Presenter, Reviewer, and an Administrator. The Administrator is crucial as they organize the logistics of the review meeting, ensure that the necessary materials are provided to the participants in advance, and take on the responsibility of recording results and follow-up actions. Project Manager, Assurance, and Project Support do not specifically align with the roles within a quality review team.References: PRINCE27 Foundation resources and study materials.