ID: Class: 12 Subject: Math Topic: Linear Programming Type: Short (SA) Year: 2025

Question:

Solve the following linear programming problem graphically: \[ \text{Maximise} \quad Z = x + 2y\] Subject to the constraints: \[ \begin{aligned} x - y &\geq 0 \\ x - 2y &\geq -2 \\ x &\geq 0, y \geq 0 \end{aligned} \]