Final answer:
A time-phased budget primarily facilitates project cost control by helping managers to monitor spending against the planned budget over the duration of a project. Therefore correct option is B
Step-by-step explanation:
A time-phased budget is an essential tool for project management as it details the amount and timing of expected costs over the life of the project. Among the options provided, the most facilitated aspect of project management by a time-phased budget is option B, project cost control. By allocating budget expenses over time, project managers are equipped to monitor actual spending against planned spending effectively, anticipate when funds will be required, and make adjustments to stay on budget. It also indirectly supports good project scheduling by indicating when resources are needed but has less impact on risk response control or managing project sensitivity directly.