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1 markLinear Programming

CSEC Mathematics · 2003 (Specimen) · Paper 2 · Question 10(a)

Linear programming problem with stereo sets (x) and television sets (y).

Mrs Cave wishes to buy x stereo sets and y television sets but the total number of sets must not exceed 20. Write an inequality in x and y to represent this information.

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Other parts of this question

  1. 10(b)Each stereo set costs 150.00 and each television set costs 300.00, and she can spend a maximum of 4,500.00 on the sets. Write an inequality in x$ and…[2 marks]
  2. 10(c)She must buy at least 5 of each set. Write TWO inequalities to represent this information.[2 marks]
  3. 10(d)Using a scale of 2 cm to represent 5 units on both axes, draw on your graph the FOUR inequalities from (a), (b) and (c) above. Identify, by shading, the region…[6 marks]
  4. 10(e)(i)The profit on each stereo is 80.00 and on each television is 100.00. Write an expression in x and y for P, the profit when all the sets are sold.[1 mark]
  5. 10(e)(ii)How many of EACH set should Mrs Cave buy in order to obtain MAXIMUM profit?[2 marks]
  6. 10(e)(iii)What is the MAXIMUM profit?[1 mark]

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