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2 marksLinear Programming

CAPE Applied Mathematics Unit 2 · 2018 · Paper 2 · Question 2(a)

A fruit shop packages 200 apples, 240 pears, and 240 pomegranates into types X and Y bags. Bag X has 4 apples, 6 pears, 3 pomegranates with profit 20. Bag Y has 4 apples, 3 pears, 6 pomegranates with profit 25.

Identify the TWO variables required for this problem.

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Other parts of this question

  1. 2(b)Write the FIVE inequalities of the constraints that must be satisfied by the variables.[4 marks]
  2. 2(c)Write the objective function for this problem.[2 marks]
  3. 2(d)On the grid provided on page 9, draw the graph representing the five inequalities.[8 marks]
  4. 2(e)Label the feasible region on your graph.[1 mark]
  5. 2(f)State the coordinates of the vertices of the feasible region.[3 marks]
  6. 2(g)Determine the maximum profit.[3 marks]
  7. 2(h)State the values of the variables that give the maximum profit.[2 marks]

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