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1 markLinear Programming

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

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.

Hence, state the maximum profit that may be made.

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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)(i)Use the coordinates of the vertices given at (b) (iii) above to determine the profit for each of those combinations.[2 marks]

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