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3 marksLogic and Boolean Algebra

CAPE Applied Mathematics Unit 2 · 2018 · Paper 2 · Question 1(b)(i)

Use a truth table to show that for any propositions, p and q, p \Rightarrow q \Leftrightarrow \sim p \vee q.

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  1. 1(a)(i)Determine the earliest and latest start times for EACH activity, in order for the project to be completed in the minimum time. Write your answers in the…[6 marks]
  2. 1(a)(ii)Identify the critical path.[2 marks]
  3. 1(a)(iii)Determine the minimum time for completion of the project.[1 mark]
  4. 1(a)(iv)Draw a fully labelled activity network to represent these activities and their precedence.[4 marks]
  5. 1(a)(v)Assume that the duration of Activity C is increased to 6 days. Determine which activities are now critical, and the new minimum time for completion of the…[4 marks]
  6. 1(b)(ii)Using the laws of Boolean algebra, show that for any two propositions, p and q, \sim(p \vee \sim(p \wedge q)) is a contradiction.[5 marks]

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