Maximise `Z = x + 2y`, subject to the constraints:`xgeq3,x+ygeq5,x+2ygeq6,ygeq0.`

Explanation

To solve the problem of maximizing \( Z = x + 2y \) subject to the constraints \( x \geq 3 \), \( x + y \geq 5 \), \( x + 2y \geq 6 \), and \( y \geq 0 \), we will follow these steps:

### Step 1: Identify the constraints
The constraints given are:
1. \( x \geq 3 \)
2. \( x + y \geq 5 \)
3. \( x + 2y \geq 6 \)
4. \( y \geq 0 \)
...