Final answer:
Time management is critically involved in the Planning and Budgeting stage of a project, where the schedule is determined, resources allocated, and budget established.
Step-by-step explanation:
In the context of project stages, time management is mostly involved in the Planning and Budgeting stage. During this phase, project managers and their teams develop a project management plan, which includes defining the schedule, allocating resources, and establishing a budget. Effective time management at this stage is critical in setting a realistic timeline and ensuring that project milestones are met within the budget constraints. The tools and techniques such as Gantt charts, Critical Path Method (CPM), and Program Evaluation Review Technique (PERT) are often utilized to facilitate time management during the planning phase.