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2 marksGraph Theory and Critical Path Analysis

CAPE Applied Mathematics Unit 2 · 2011 · Paper 2 · Question 2(b)(iii)a)

Five activities, A, B, C, D and E, make up a project with given durations and precedence relations.

Hence, determine the critical path.

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  1. 2(a)Four persons, A, B, C and D, are assigned to run a 4 x 400 relay. The average times in seconds are given. Use the Hungarian Algorithm to allocate runners to a…[7 marks]
  2. 2(b)(i)Construct an activity network for the project.[5 marks]
  3. 2(b)(ii)Copy and complete the table of Earliest Start Time, Latest Start Time, and Float for activities A to E.[10 marks]
  4. 2(b)(iii)b)Hence, determine the MINIMUM completion time of the project.[1 mark]

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