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The network diagram shows the time needed for each step in order to complete a project - HSC - SSCE Mathematics Standard - Question 3 - 2022 - Paper 1
Question 3
The network diagram shows the time needed for each step in order to complete a project. What is the critical path to complete the project? A. ACI B. ADG C. BEH D. ... show full transcript
Worked Solution & Example Answer:The network diagram shows the time needed for each step in order to complete a project - HSC - SSCE Mathematics Standard - Question 3 - 2022 - Paper 1
Step 1
What is the critical path to complete the project?
Answer
To determine the critical path, we need to calculate the total time for each potential path in the network diagram.
Let's analyze the paths:
- Path ACI: A (3) + C (16) + I (2) = 3 + 16 + 2 = 21
- Path ADG: A (3) + D (16) + G (22) = 3 + 16 + 22 = 41
- Path BEH: B (2) + E (9) + H (6) = 2 + 9 + 6 = 17
- Path BEFG: B (2) + E (9) + F (19) + G (22) = 2 + 9 + 19 + 22 = 52
From the calculations:
- The total time for ACI is 21.
- The total time for ADG is 41.
- The total time for BEH is 17.
- The total time for BEFG is 52.
The critical path is the one with the longest duration, which in this case is ADG with a total time of 41. Therefore, the answer is B. ADG.