Use your answers to Question 3 to solve the following linear programming problems: (a) Maximise 4x +

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Use your answers to Question 3 to solve the following linear programming problems:
(a) Maximise 4x + 9y
subject to
5x + 3y ≤ 30
7x + 2y ≤ 28
x ≥ 0
y ≥ 0
(b) Maximise 3x + 6y
subject to
2x + 5y ≤ 20
x + y ≤ 5
x ≥ 0
y ≥ 0
(c) Minimise x + y
subject to
x − 2y ≤ 3
x − y ≤ 4
x ≥ 1
y ≥ 0

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