AQA Further Paper 3 Discrete 2022 June — Question 4

Exam BoardAQA
ModuleFurther Paper 3 Discrete (Further Paper 3 Discrete)
Year2022
SessionJune
TopicCritical Path Analysis

4
8
28
32 Turn over for the next question 3 A company undertakes a project which consists of 12 activities, \(A , B , C , \ldots , L\) Each activity requires one worker.
The resource histogram below shows the duration of each activity.
Each activity begins at its earliest start time.
The path \(A D G J L\) is critical. Number of workers
\includegraphics[max width=\textwidth, alt={}, center]{bcb1dd40-4e54-4ac7-a623-3a4b46e3ea9d-04_504_1145_719_548} The company only has two workers available to work on the project. Which of the following could be a correctly levelled histogram? Tick \(( \checkmark )\) one box. Number of workers
\includegraphics[max width=\textwidth, alt={}, center]{bcb1dd40-4e54-4ac7-a623-3a4b46e3ea9d-05_510_1145_502_459} Number of workers
\includegraphics[max width=\textwidth, alt={}, center]{bcb1dd40-4e54-4ac7-a623-3a4b46e3ea9d-05_515_1145_1059_459} Number of workers
\includegraphics[max width=\textwidth, alt={}, center]{bcb1dd40-4e54-4ac7-a623-3a4b46e3ea9d-05_517_1147_1619_459} Number of workers
\includegraphics[max width=\textwidth, alt={}, center]{bcb1dd40-4e54-4ac7-a623-3a4b46e3ea9d-05_517_1149_2179_458} 4 Ben and Jadzia play a zero-sum game. The game is represented by the following pay-off matrix for Ben.
\multirow{6}{*}{Ben}Jadzia
StrategyXYZ
A-323
B60-4
C7-11
D6-21
4
  1. State, with a reason, which strategy Ben should never play.
    4
  2. Determine whether or not the game has a stable solution.
    Fully justify your answer.
    4
  3. Ben knows that Jadzia will always play her play-safe strategy. Explain how Ben can maximise his expected pay-off.