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5 marksRepresenting Linear Inequalities (One Variable)

CSEC Mathematics · May/June 2004 · Paper 2 · Question 10(a)(i)

A vendor buys x kg of peanuts and y kg of cashew nuts. To get a good bargain, she must buy a minimum of 10 kg of peanuts and a minimum of 5 kg of cashew nuts.

Write TWO inequalities which satisfy these conditions.

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  1. 10(a)(ii)Write TWO inequalities which satisfy these conditions.[5 marks]
  2. 10(b)Using a scale of 2 cm to represent 10 kg on each axis, draw the graph of the FOUR inequalities in (a)(i) and (a)(ii). On your graph, shade ONLY the region…[6 marks]
  3. 10(c)(i)Using your graph, determine the number of kilograms of each type of nut the vendor must sell in order to make the maximum profit.[4 marks]
  4. 10(c)(ii)Calculate the maximum profit.[4 marks]

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