Minimise `Z=-3x+4y`
Subject to `x+2yle8, 3x+2yle12,xge0,yge0`.

Explanation

To solve the problem of minimizing \( Z = -3x + 4y \) subject to the constraints \( x + 2y \leq 8 \), \( 3x + 2y \leq 12 \), and \( x \geq 0, y \geq 0 \), we will follow these steps:

### Step 1: Identify the Constraints
The constraints are:
1. \( x + 2y \leq 8 \)
2. \( 3x + 2y \leq 12 \)
3. \( x \geq 0 \)
4. \( y \geq 0 \)
...