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Pearson Edexcel IAL Mathematics D1.5.2 Graphical solution of two variable problems

Practise solving two-variable linear programmes by graphing constraints, locating vertices and applying objective line or vertex methods.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • draw constraint lines accurately and label the feasible region R, including boundary decisions
  • find exact vertex coordinates from intersecting constraints before testing the objective
  • use objective lines or the vertex method to choose the optimal quantities and value

D1.5.2 - Graphical solution of two variable problems question 1

[Maximum number: 4]
Figure 5

Figure 5

Figure 5 shows a weighted graph that contains 12 arcs and 8 vertices.

It is given that
- no two arcs have the same weight
- x and y are positive integers
- arc CD is not in the minimum spanning tree for the graph

Represent these four constraints on Diagram 1 in the answer book.

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