Edexcel D2 2018 June — Question 6

Exam BoardEdexcel
ModuleD2 (Decision Mathematics 2)
Year2018
SessionJune
TopicDynamic Programming

6. Jonathan is an author who is planning his next book tour. He will visit four countries over a period of four weeks. He will visit just one country each week. He will leave from his home, S , and will only return there after visiting the four countries. He will travel directly from one country to the next. He wishes to determine a schedule of four countries to visit. Table 1 shows the countries he could visit each week. \begin{table}[h]
1234
A
B
C
D
1234
A
B
C
D
1234
A
B
C
D
2.
B plays 1B plays 2B plays 3B plays 4
A plays 1- 325- 1
A plays 2- 531- 1
A plays 3- 2542
A plays 42- 3- 14
- 325
- 254
2- 3- 1
3.
12345
A2531272935
B2933403537
C2829353637
D343536\(x\)41
E3635323133
  1. You may not need to use all of these tables
    12345
    A
    B
    C
    D
    E
    12345
    A
    B
    C
    D
    E
    12345
    A
    B
    C
    D
    E
    12345
    A
    B
    C
    D
    E
    12345
    A
    B
    C
    D
    E
    12345
    A
    B
    C
    D
    E
    12345
    A
    B
    C
    D
    E
    12345
    A
    B
    C
    D
    E
    12345
    A
    B
    C
    D
    E
    4. \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{4abb2325-b9df-4849-b08c-7db465fe85e0-18_1056_1572_1450_185} \captionsetup{labelformat=empty} \caption{Diagram 1}
    \end{figure} Maximum flow along SBET: \(\_\_\_\_\) \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{4abb2325-b9df-4849-b08c-7db465fe85e0-19_1043_1572_1505_187} \captionsetup{labelformat=empty} \caption{Diagram 2}
    \end{figure} 5.
    b.v.\(x\)\(y\)\(z\)\(r\)\(s\)\(t\)Value
    \(r\)- 2- 6110040
    \(s\)23201080
    \(t\)12200150
    \(P\)- 4- 2\(- k\)0000
    You may not need to use all of these tableaux
    b.v.\(x\)\(y\)\(z\)\(r\)\(s\)\(t\)ValueRow Ops
    \(P\)
    b.v.\(x\)\(y\)\(z\)\(r\)\(s\)\(t\)ValueRow Ops
    \(P\)
    b.v.\(x\)\(y\)\(z\)\(r\)\(s\)\(t\)ValueRow Ops
    \(P\)
    b.v.\(x\)\(y\)\(z\)\(r\)\(s\)\(t\)ValueRow Ops
    \(P\)
    b.v.\(x\)\(y\)\(z\)\(r\)\(s\)\(t\)ValueRow Ops
    \(P\)
    6.
    StageStateActionDestinationValue
    0IISS\(30 - 5 = 25 ^ { * }\)
    StageStateActionDestinationValue
    END