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3 marksGraph Theory and Critical Path Analysis

CAPE Applied Mathematics Unit 2 · 2013 · Paper 2 · Question 2(a)(i)

An activity network where vertices represent activities and edges represent the duration in days. Unlimited workers are available.

Determine the EARLIEST start times of the activities S and X.

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Other parts of this question

  1. 2(a)(ii)Determine the MINIMUM completion time of the project.[2 marks]
  2. 2(a)(iii)Determine the LATEST start times of the activities X and Q.[3 marks]
  3. 2(a)(iv)Determine a critical path of the activity network.[2 marks]
  4. 2(a)(v)Determine the float time for activity T.[3 marks]
  5. 2(b)State the degree of the vertices A and C.[2 marks]
  6. 2(c)(i)Use the Hungarian algorithm to determine the supermarket to which EACH warehouse must be assigned in order to MINIMIZE the cost of delivery.[8 marks]
  7. 2(c)(ii)Hence, determine the total cost for EACH item at the four warehouses.[2 marks]

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