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GATE 2016 ME (ME2) – Question 65

Operations Research · Network flow models, PERT and CPM · 2 marks · Numerical answer

A project consists of 14 activities, A to N. The duration of these activities (in days) are shown in brackets on the network diagram. The latest finish time (in days) for node 10 is ______.

Diagram for GATE 2016 ME (ME2) question 65

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Correct answer: 14 to 14

Explanation

The critical forward route1–2–4–7–9–11–12 has duration2+4+4+5+2+2=19days. Backward from node12, latest node11 is19−2=17days. Node10 connects to11 through M of duration3days, so its latest time is17−3=**14days**. Its early arrival is not the requested latest time.