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6 marksGraphs of Linear Inequalities (Two Variables)

CSEC Mathematics · January 2005 · Paper 2 · Question 10(iv)(a)

Using a scale of 2 cm to represent 5 calculators on the x-axis and 2 cm to represent 10 folders on the y-axis, draw the graphs of the lines associated with the inequalities at (i), (ii) and (iii) above.

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Other parts of this question

  1. 10(i)Write an inequality to represent this information.[1 mark]
  2. 10(ii)Write an inequality to represent this information.[2 marks]
  3. 10(iii)Write an inequality to represent this information.[2 marks]
  4. 10(iv)(b)Identify, by shading, the region which satisfies all three inequalities.[6 marks]
  5. 10(v)Write an expression in x and y for the total profit, P.[1 mark]
  6. 10(vi)Write down the coordinates of the vertices of the shaded region.[1 mark]
  7. 10(vii)Calculate the maximum profit.[2 marks]

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