According to the PMBOK® Guide, Total Float (TF) is the amount of time that a schedule activity can be delayed or extended from its early start date without delaying the project finish date or violating a schedule constraint.

Calculating Total Float: Total Float is calculated using the formula:

$$TF = LS - ES$$

or

$$TF = LF - EF$$

(Where $LS$ = Late Start, $ES$ = Early Start, $LF$ = Late Finish, and $EF$ = Early Finish).

Analysis of the Network Diagram (Standard PMI Question Set 279-280):

Based on the previous analysis of this network, the Critical Path is A-C-F-G with a total duration of 27 days.

To find the total float for the project ' s non-critical paths, we compare them to the critical path duration.

Consider Path A-B-D-G, which has a duration of 22 days.

The float for this path is calculated as the difference between the Critical Path and this specific path: $27 - 22 = 5$ days.

Interpretation: This means the activities on the non-critical path (B and D) can collectively slip by up to 5 days without pushing the final completion date of Activity G beyond day 27.

Comparison with other options:

A. 3: This value often represents a specific activity duration or a " Free Float " value for a single segment of the diagram rather than the total path buffer.

C and D. 7 or 9: These values would correspond to paths with durations of 20 or 18 days. Based on the standard durations provided in this diagram set (A=5, B=5, C=9, D=8, E=4, F=10, G=3), no path results in a gap of 7 or 9 days relative to the 27-day critical path.