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EDEXCEL AS LEVEL FURTHER MATHS 2022 PAPER 28
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EDEXCEL AS LEVEL FURTHER MATHS 2022 PAPER 28
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Edexcel A Level 2022 papers andmarkschemes
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, Pearson Edexcel Level 3 GCE
Paper
reference 8FM0/28
Further Mathematics
Advanced Subsidiary
Further Mathematics options
28: Decision Mathematics 2
(Part of option K only)
You must have:
Mathematical Formulae and Statistical Tables (Green),
calculator, D2 Answer Book (enclosed)
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
• Use black ink or ball‑point pen.
• IfFillpencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centrein the boxes at the top of the answer book with your name,
number and candidate number.
• labelled.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the answer book provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear. Answers without
working may not gain full credit.
• Inexact answers should be given to three significant figures unless otherwise stated.
• Do not return the question paper with the D2 Answer Book.
Information
• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The marks for each
total mark for this part of the examination is 40. There are 4 questions.
• – use this as a guide asquestion are shown in brackets
to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Try to answer every question.
• your answers if you have time at the end.
Check
Turn over
*P68793A*
P68793A
©2022 Pearson Education Ltd.
Q:1/1/
, Answer ALL questions. Write your answers in the answer book provided.
1. Four workers, A, B, C and D, are each to be assigned to one of four tasks, P, Q, R and S.
Each worker must be assigned to one task, and each task must be done by exactly
one worker.
Worker C cannot be assigned to task Q and worker D cannot be assigned to task S.
The time, in minutes, that each worker takes to complete each task is shown in the
table below.
P Q R S
A 54 48 51 52
B 55 51 53 58
C 52 – 53 54
D 67 63 68 –
The Hungarian algorithm is to be used to find the minimum total time for the four
workers to complete the tasks.
(a) Modify the table so that the Hungarian algorithm may be used.
(1)
(b) Reducing rows first, use the Hungarian algorithm to obtain an allocation that
minimises the total time. You should explain how any initial row and column
reductions are made and also how you determine if the table is optimal at
each stage.
(6)
(Total for Question 1 is 7 marks)
2 P68793A
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