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3 marksLinear Programming

CSEC Mathematics · January 2010 · Paper 2 · Question 10(c)(ii)

The pizza shop makes a profit of 8 on the sale of EACH small pizza and 20 on the sale of EACH large pizza. All pizzas made were sold.

Use the coordinates of the vertices given at (b)(iii) to determine the MAXIMUM profit.

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Other parts of this question

  1. 10(a)(i)Write an inequality to represent the given condition.[2 marks]
  2. 10(a)(ii)Write an inequality to represent this condition.[2 marks]
  3. 10(b)(i)Using a scale of 2 cm on the x-axis to represent 5 small pizzas and 2 cm on the y-axis to represent 5 large pizzas, draw the graphs of the lines associated…[4 marks]
  4. 10(b)(ii)Shade the region which is defined by ALL of the following combined: the inequalities written at (a)(i) and (a)(ii), the inequalities x ≥ 0 and y ≥ 0.[1 mark]
  5. 10(b)(iii)Using your graph, state the coordinates of the vertices of the shaded region.[2 marks]
  6. 10(c)(i)Write an expression in x and y for the TOTAL profit made on the sale of the pizzas.[1 mark]

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