Minimise `Z=3x+5y`
Such that `x+3yge3, x+yge2, x,yge0`.

Explanation

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

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