ITPEC FE Morning October 2021 Question 54

Question

The activities and nodes of a project are shown in the arrow diagram below. Which of the following is the effect of extending the duration of activity C by 3 days?

[Figure: Arrow diagram of 7 nodes. From the start node, A (3 days) goes up to an upper node and B (4 days) goes down to a lower node. From the upper node, D (6 days) goes right to a second upper node. From the lower node, C (5 days) goes up to that second upper node and F (7 days) goes right to a second lower node. A dashed dummy activity runs straight down from the second upper node to the second lower node. E (6 days) runs from the second upper node and G (5 days) from the second lower node to a middle node, and H (1 day) runs from the middle node to the end node.]

[Figure: Legend: a circle is a node; an activity is a solid arrow with the activity name above it and the number of days required below it; a dummy activity is a dashed arrow.]

Accepted Answer

c) The project duration is extended by 2 days.

Answer

a) The project duration is not affected.

Answer

b) The project duration is extended by 1 day.

Answer

d) The project duration is extended by 3 days.

Path	Days
A → D → E → H	3 + 6 + 6 + 1 = 16
A → D → dummy → G → H	3 + 6 + 0 + 5 + 1 = 15
B → C → E → H	4 + 5 + 6 + 1 = 16
B → C → dummy → G → H	4 + 5 + 0 + 5 + 1 = 15
B → F → G → H	4 + 7 + 5 + 1 = 17

Explanation