Chapter 10: Decision Mathematics 2: Allocation Problems

A-level Further MathsDecision Mathematics 1 & 24 topicsHigher

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Releases 1 August 2026

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Decision Mathematics 2: Allocation Problems: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

D10-1 Find the required result for Decision Mathematics 2: Allocation Problems. Given The cost matrix is [[9,2,7],[6,4,3],[5,8,1]]. Use apply row reduction, column reduction and assignment testing. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

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8 marksshow thathardEdexcel

D10-2 Show that after row reduction the first row becomes 7, 0, 5 for Decision Mathematics 2: Allocation Problems. Start from The cost matrix is [[9,2,7],[6,4,3],[5,8,1]]. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

D10-3 Determine the requested value in this structured Decision Mathematics 2: Allocation Problems problem: complete the Hungarian algorithm and state the minimum cost. Use the same data: The cost matrix is [[9,2,7],[6,4,3],[5,8,1]]. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

D10-4 Hence use the result after row reduction the first row becomes 7, 0, 5 to complete the extension for Decision Mathematics 2: Allocation Problems: complete the Hungarian algorithm and state the minimum cost. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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Key learning objectives

Understand the key principles behind Decision Mathematics 2: Allocation Problems.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.