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0580 P42 - Jun 2012 - Q3 - 13 marks
16057

Pablo plants x lemon trees and y orange trees.

(a(i)) He plants at least 4 lemon trees. Give an inequality. [1]

(a(ii)) He plants at least 9 orange trees. Give an inequality. [1]

(a(iii)) He can plant at most 20 trees altogether. Give an inequality. [1]

(b) Lemon trees cost \$5 and orange trees \$10. He can spend at most \$170. Form an inequality and show it simplifies to \(x+2y\le34\). [1]

Blankinequalitygridx0to34y0to24

(c(i)) Draw the four boundary lines and shade the unwanted regions. [7]

(c(ii)) Find the smallest cost for a total of 20 trees. [2]

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