Long answer·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

Graph the constraints 2x+y8, x+2y8, x0, y02x+y\le8,\ x+2y\le8,\ x\ge0,\ y\ge0 and find the vertices of the feasible region.
Total: 5 marks

(a) Find the intercepts of the two boundary lines. (2 marks)

(b) Find the intersection of the two lines. (2 marks)

(c) List the feasible-region vertices. (1 mark)

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