What is the critical path in a PERT diagram and why is it important?

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What is the critical path in a PERT diagram and why is it important?

1998 Paper 8 Question 5
Business Studies
The figure shows a section of a PERT diagram for a small software project, together
with the number of programmer-days each task is estimated to take.
(a) What is the critical path in a PERT diagram and why is it important? What
is the critical path in the PERT diagram shown below? [5 marks]
(b) One analyst and two programmers are assigned to the project, in addition to
the manager. How long will the project take? [5 marks]
(c) Derive the equivalent GANTT chart for the project. [5 marks]
(d) Task 8 slips by 2 days. How does this affect the project? What actions, if any
are required, can be taken to alleviate the slippage? [5 marks]
Task 1
3 days
Task 2
10 days
Task 3
5 days
Task 4
5 days
Task 5
7 days
Task 6
5 days
Task 10
5 days
Task 7
5 days
Task 8
7 days
Task 9
5 days
Task 11
5 days