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2 marksLinear Programming

CSEC Mathematics · January 2007 · Paper 2 · Question 10(c)(ii)

Pam sells the x pens and y pencils and makes a profit of 1.50 on EACH pen and 1.00 on EACH pencil.

Calculate the maximum profit Pam makes.

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Other parts of this question

  1. 10(a)(i)Write an inequality to represent this information.[1 mark]
  2. 10(a)(ii)Write an inequality to represent this information.[2 marks]
  3. 10(a)(iii)Write the information represented by this inequality as a sentence in your own words.[2 marks]
  4. 10(b)(i)On the answer sheet provided, draw the graph of the TWO inequalities obtained in (a)(i) and (a)(ii) above.[3 marks]
  5. 10(b)(ii)Write the coordinates of the vertices of the region that satisfies the four inequalities (including y ≥ 0).[2 marks]
  6. 10(c)(i)Write an expression in x and y to represent the profit Pam makes.[1 mark]
  7. 10(c)(iii)If Pam buys 4 pens, show on your graph the maximum number of pencils she can buy.[2 marks]

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