(Solved): Use the graphical method to solve the following linear programming problem: M ...

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Use the graphical method to solve the following linear programming problem: Maximise \( x+y \) Subject to: \( x+2 y \leq 15 \) \( 2 x+y \leq 14 \) \( x \geq 0, y \geq 0 \) Give the maximum value and the values of \( x \) and \( y \) needed to achieve it. Include your calculations.