Final answer:
The activity can be delayed up to 4 weeks without affecting the project schedule, calculated using the formula Float = LF - EF.
Step-by-step explanation:
The student has provided information for an activity in a project network including its Early Start (ES), Early Finish (EF), and Late Finish (LF). The amount of time this activity can be delayed without affecting the project schedule is known as 'float' or 'slack'.
To find the float for an activity, you use the formula: Float = LF - EF. Given the activity's characteristics, ES = 5, EF = 10, and LF = 14, we can calculate the float as follows: Float = 14 - 10 = 4 weeks.
Therefore, the activity can be delayed up to 4 weeks without impacting the overall project schedule, making (d) 4 weeks the correct answer.