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2 marksLinear Programming

CSEC Mathematics · January 2008 · Paper 2 · Question 10(c)(i)

The balls and bats are sold to students. The school makes a profit of 1 on each ball and 3 on each bat. The equation P = x + 3y represents the total profit that may be collected from the sale of these items.

Use the coordinates of the vertices given at (b) (iii) above to determine the profit for each of those combinations.

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Other parts of this question

  1. 10(a)(i)Write an inequality to represent this information.[2 marks]
  2. 10(a)(ii)Write an inequality to represent this information.[2 marks]
  3. 10(b)(i)Using a scale of 2 cm on the x-axis to represent 10 balls and 2 cm on the y-axis to represent 5 bats, draw the graphs of the lines associated with the…[5 marks]
  4. 10(b)(ii)Shade the region which satisfies the two inequalities at (a) (i) and (ii) and the inequalities x ≥ 0 and y ≥ 0.[1 mark]
  5. 10(b)(iii)Use your graph to write the coordinates of the vertices of the shaded region.[2 marks]
  6. 10(c)(ii)Hence, state the maximum profit that may be made.[1 mark]

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