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Maximize \( 2 X+5 Y \) subject to the constraints. \[ \begin{aligned} X+2 Y \leq & 16 \\ 5 X+3 Y & \leq 45 \\ X, Y & \geq 0 \end{aligned} \] Question 2 Maximize the objective function \( P=3 x+y \) subject to the constraints. \[ \begin{aligned} 2 x+y & \leq 8 \\ 2 x+3 y & \leq 12 \\ x & \geq 0 \\ y & \geq 0 \end{aligned} \]

Solution : Given LPP is x+2y?16 5x+3y?45 x?0,y?0 We will solve this problem using Graphical Method. (1). To draw constraint x+2y?16 Consider, x+2y=16