OCR D1 2008 January — Question 3

Exam BoardOCR
ModuleD1 (Decision Mathematics 1)
Year2008
SessionJanuary
TopicCombinations & Selection

3

  1. \includegraphics[max width=\textwidth, alt={}, center]{1ecf9738-d968-49f6-8c70-0aa50b57cb69-10_629_951_276_596}
    \(A D = 16\)
    \(C D = 18\)
    \(C F = 21\)
    \(A C = 23\)
    \(D F = 34\)
    \(B E = 35\)
    \(B G = 46\)
    \(C \bullet \quad \bullet D\)
    B
    \(A B = 50\)
    \(E G = 55\)
    \(F G = 58\)
    \(A E = 80\)
    \(A F = 100\)
    \includegraphics[max width=\textwidth, alt={}, center]{1ecf9738-d968-49f6-8c70-0aa50b57cb69-10_497_56_1073_1084}
    • \(E\)
      G
    Total weight of arcs in minimum spanning tree \(=\) \(\_\_\_\_\)
  2. \(\_\_\_\_\)
    Weight of spanning tree for the network with vertex \(G\) removed = \(\_\_\_\_\)
    Lower bound for travelling salesperson problem on original network = \(\_\_\_\_\)
  3. \(\_\_\_\_\) Upper bound for travelling salesperson problem on original network = \(\_\_\_\_\)