AQA Further AS Paper 2 Discrete 2018 June — Question 5 2 marks

Exam BoardAQA
ModuleFurther AS Paper 2 Discrete (Further AS Paper 2 Discrete)
Year2018
SessionJune
Marks2
TopicCritical Path Analysis

5 A group of friends want to prepare a meal. They start preparing the meal at 6:30 pm Activities to prepare the meal are shown in Figure 1 below. \begin{table}[h]
\captionsetup{labelformat=empty} \caption{Figure 1}
LabelActivityDuration (mins)Immediate predecessors
AWeigh rice1-
\(B\)Cook rice18\(A\)
CDrain rice1B
DChop vegetables10-
\(E\)Fry vegetables12
\(F\)Combine fried vegetables and drained rice1
GPrepare sauce ingredients4-
\(H\)Boil sauce12
\(I\)Serve meal on plates2
\end{table} 5
    1. Use Figure 2 shown below to complete Figure 1 above. 5
  1. (ii) Complete Figure 2 showing the earliest start time and latest finishing time for each activity. \begin{figure}[h]
    \captionsetup{labelformat=empty} \caption{Figure 2} \includegraphics[alt={},max width=\textwidth]{5a826f8b-4751-4589-ad0a-109fc5c821f2-06_700_1650_1781_194}
    \end{figure} 5
    1. State the activity which must be started first so that the meal is served in the shortest possible time. Fully justify your answer.
      5
  2. (ii) Determine the earliest possible time at which the preparation of the meal can be completed.
    Question 5 continues on the next page 5
  3. The group of friends want to cook spring rolls so that they are served at the same time as the rest of the meal. This requires the additional activities shown in Figure 3. \begin{table}[h]
    \captionsetup{labelformat=empty} \caption{Figure 3}
    LabelActivityDurationImmediate predecessors
    JSwitch on and heat oven-
    KPut spring rolls in oven and cook
    \(L\)Transfer spring rolls to serving dish
    \end{table} It takes 15 seconds to switch on the oven. The oven must be allowed to heat up for 10 minutes before the spring rolls are put in the oven. It takes 15 seconds to put the spring rolls in the oven.
    The spring rolls must cook in the hot oven for 8 minutes.
    It takes 30 seconds to transfer the spring rolls to a serving dish.
    5
    1. Complete Figure 3 above. 5
  4. (ii) Determine the latest time at which the oven can be switched on in order for the spring rolls to be served at the same time as the rest of the meal.
    [0pt] [2 marks]
    \includegraphics[max width=\textwidth, alt={}, center]{5a826f8b-4751-4589-ad0a-109fc5c821f2-09_2488_1716_219_153}