May 2010 9. (b) A farmer supplies his neighbors with x pumpkins and y melons daily, using the following conditions: First condition: y ≥ 3 Second condition: y ≤ x Third condition: the total number of pumpkins and melons must not exceed 12 (i) Write an inequality to represent the THIRD condition. (ii) Using a scale of 1 cm to represent one pumpkin on the x-axis and 1 cm to represent one melon on the y-axis, draw the graphs of the THREE lines associated with the THREE inequalities. (iii) Identify, by shading, the region which satisfies the THREE inequalities. (iv) Determine, from your graph, the minimum values of x and y which satisfy the conditions. May 2012
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