Minimise and Maximise `Z=x+2y`
Subject to `x+2yge100,2x-yle0,2x+yle200,x,yge0`.

Explanation

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

### Step 1: Identify the Constraints
The constraints given are:
1. \( x + 2y \geq 100 \)
2. \( 2x - y \leq 0 \) (or \( y \geq 2x \))
3. \( 2x + y \leq 200 \)
4. \( x \geq 0 \)
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