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1 markLinear Programming

CSEC Mathematics · January 2006 · Paper 2 · Question 10(a)(i)

A shop stocks x Sonix and y Zent radios. It has shelf space for up to 20 radios.

Write an inequality to represent this information.

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Other parts of this question

  1. 10(a)(ii)Write an inequality to represent this information.[1 mark]
  2. 10(a)(iii)Write TWO inequalities to represent this information.[2 marks]
  3. 10(b)(i)Using a scale of 2 cm to represent 5 Sonix radios and 2 cm to represent 5 Zent radios, draw the horizontal axis for 0 ≤ x ≤ 30 and the vertical axis for 0 ≤ y…[1 mark]
  4. 10(b)(ii)On these axes, draw the four boundary lines for the four inequalities written in (a) (i), (ii) and (iii) above.[4 marks]
  5. 10(b)(iii)Shade the region on your graph that satisfies ALL four of the inequalities written in (a) (i), (ii) and (iii) above.[1 mark]
  6. 10(b)(iv)State the coordinates of the vertices of the shaded region.[2 marks]
  7. 10(c)(i)Express the TOTAL profit in terms of x and y.[1 mark]
  8. 10(c)(ii)Calculate the MAXIMUM profit.[2 marks]

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